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Sample to sample or sample to population

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Sample to sample or sample to population

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Sample to sample or sample to population

1. 1. When you are working with nominal proportional data, Sample to Sample or Sample to Population for Z-tests of Proportions
2. 2. When you are working with nominal proportional data, you need to determine if you are being asked to compare a sample to another sample Sample to Sample or Sample to Population for Z-tests of Proportions
3. 3. When you are working with nominal proportional data, you need to determine if you are being asked to compare a sample to another sample or a sample to a population or a claim. Sample to Sample or Sample to Population for Z-tests of Proportions
4. 4. Here are your options: Sample to Sample or Sample to Population for Z-tests of Proportions
5. 5. Here are your options: Sample to Sample Sample to Population Sample to Sample or Sample to Population for Z-tests of Proportions
6. 6. Let’s look at a few examples to distinguish sample to sample from sample to population comparisons. Sample to Sample or Sample to Population for Z-tests of Proportions
7. 7. Sample to Population Sample to Sample or Sample to Population for Z-tests of Proportions
8. 8. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% (9 out of 10) customers are very satisfied with a particular vacuum brand. Sample to Sample or Sample to Population for Z-tests of Proportions
9. 9. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% (9 out of 10) customers are very satisfied with a particular vacuum brand. Sample to Sample or Sample to Population for Z-tests of Proportions
10. 10. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% (9 out of 10) customers are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Sample to Sample or Sample to Population for Z-tests of Proportions
11. 11. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% (9 out of 10) customers are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Sample to Sample or Sample to Population for Z-tests of Proportions
12. 12. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% (9 out of 10) customers are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? Sample to Sample or Sample to Population for Z-tests of Proportions
13. 13. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% (9 out of 10) customers are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? First of all, we know that we are dealing with nominal proportional data because there is a percentage (90%) or a proportion (9 out of 10 / 15 out of 20). Sample to Sample or Sample to Population for Z-tests of Proportions
14. 14. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% (9 out of 10) customers are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? First of all, we know that we are dealing with nominal proportional data because there is a percentage (90%) or a proportion (9 out of 10 / 15 out of 20). Sample to Sample or Sample to Population for Z-tests of Proportions
15. 15. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% (r 9 out of 10) customers are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? First of all, we know that we are dealing with nominal proportional data because there is a percentage (90%) or a proportion (9 out of 10 / 15 out of 20). Percentage Sample to Sample or Sample to Population for Z-tests of Proportions
16. 16. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% (9 out of 10) customers are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? First of all, we know that we are dealing with nominal proportional data because there is a percentage (90%) or a proportion (9 out of 10 / 15 out of 20). Sample to Sample or Sample to Population for Z-tests of Proportions
17. 17. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% (9 out of 10) customers are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? First of all, we know that we are dealing with nominal proportional data because there is a percentage (90%) or a proportion (9 out of 10 / 15 out of 20). Proportion Sample to Sample or Sample to Population for Z-tests of Proportions
18. 18. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% (or 9 out of 10) customers are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? First of all, we know that we are dealing with nominal proportional data because there is a percentage (90%) or a proportion (9 out of 10 / 15 out of 20). Sample to Sample or Sample to Population for Z-tests of Proportions
19. 19. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% (or 9 out of 10) customers are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? First of all, we know that we are dealing with nominal proportional data because there is a percentage (90%) or a proportion (9 out of 10 / 15 out of 20). Sample to Sample or Sample to Population for Z-tests of Proportions
20. 20. So, now we know that we are dealing with nominal proportional data. Sample to Sample or Sample to Population for Z-tests of Proportions
21. 21. So, now we know that we are dealing with nominal proportional data. In this case the nominal data consists of 1s and 2s. 1 = very satisfied with the vacuum 2 = not very satisfied with the vacuum Sample to Sample or Sample to Population for Z-tests of Proportions
22. 22. So, now we know that we are dealing with nominal proportional data. In this case the nominal data consists of 1s and 2s. 1 = very satisfied with the vacuum 2 = not very satisfied with the vacuum Sample to Sample or Sample to Population for Z-tests of Proportions
23. 23. So, now we know that we are dealing with nominal proportional data. Sample to Sample or Sample to Population for Z-tests of Proportions
24. 24. So, now we know that we are dealing with nominal proportional data. The nominal data is proportional because it is reported as a proportion or a percentage: Percentage = 90% Proportion = 9 out of 10 Sample to Sample or Sample to Population for Z-tests of Proportions
25. 25. So, now we know that we are dealing with nominal proportional data. The nominal data is proportional because it is reported as a proportion or a percentage: Percentage = 90% Proportion = 9 out of 10 Sample to Sample or Sample to Population for Z-tests of Proportions
26. 26. So, now we know that we are dealing with nominal proportional data. Or Percentage = 75% Proportion = 15 out of 20 Sample to Sample or Sample to Population for Z-tests of Proportions
27. 27. Then, we determine if this is a sample to sample or sample to population question. Sample to Sample or Sample to Population for Z-tests of Proportions
28. 28. Here is the problem again: Sample to Sample or Sample to Population for Z-tests of Proportions
29. 29. Here is the problem again: You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% of all customers (9 out of 10) are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? Sample to Sample or Sample to Population for Z-tests of Proportions
30. 30. A population is a defined group where all the members are accounted for in terms of some outcome. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% of all customers (9 out of 10) are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? Sample to Sample or Sample to Population for Z-tests of Proportions
31. 31. In this case the defined group is all customers You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% of all customers (9 out of 10) are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? Sample to Sample or Sample to Population for Z-tests of Proportions
32. 32. The outcome is vacuum satisfaction You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% of all customers (9 out of 10) are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? Sample to Sample or Sample to Population for Z-tests of Proportions
33. 33. The outcome is vacuum satisfaction You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% of all customers (9 out of 10) are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? Sample to Sample or Sample to Population for Z-tests of Proportions
34. 34. Since it states all customers, then we assume we are talking about a population. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% of all customers (9 out of 10) are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? Sample to Sample or Sample to Population for Z-tests of Proportions
35. 35. In most cases it will not state “all customers” but a population is implied by the claim “9 out of 10 are very satisfied”. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% of all customers (9 out of 10) are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? Sample to Sample or Sample to Population for Z-tests of Proportions
36. 36. So, we are comparing this population You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% of all customers (9 out of 10) are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? Sample to Sample or Sample to Population for Z-tests of Proportions
37. 37. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% of all customers (9 out of 10) are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? So, we are comparing this population with this sample. Sample to Sample or Sample to Population for Z-tests of Proportions
38. 38. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% of all customers (9 out of 10) are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? So, we are comparing this population with this sample. Sample to Sample or Sample to Population for Z-tests of Proportions
39. 39. So, we are comparing this population with this sample. You have been asked by your marketing team leader to determine if a claim by an infomercial is true. They claim that 90% of all customers (9 out of 10) are very satisfied with a particular vacuum brand. You select a sample of 20 of these vacuum brand owners and ask them if they are very satisfied with the product. Fifteen respond that they are very satisfied and five respond that they are not. Is their claim statistically significantly accurate or not? This is an example of a Sample to Population problem Sample to Sample or Sample to Population for Z-tests of Proportions
40. 40. Sample to Sample Sample to Population Sample to Sample or Sample to Population for Z-tests of Proportions
41. 41. What does a sample to sample problem look like? Sample to Sample or Sample to Population for Z-tests of Proportions
42. 42. Let’s look at the same example with some slight changes to it. Sample to Sample or Sample to Population for Z-tests of Proportions
43. 43. You have been asked by your marketing team leader to determine if a sample of owners of vacuum brand “X” have statistically different satisfaction results (80% or 8 out of 10 satisfied) with a sample of owners who use vacuum brand “Y” (75% or 7.5 out of 10). Sample to Sample or Sample to Population for Z-tests of Proportions
44. 44. You have been asked by your marketing team leader to determine if a sample of owners of vacuum brand “X” have statistically different satisfaction results (80% or 8 out of 10 satisfied) with a sample of owners who use vacuum brand “Y” (75% or 7.5 out of 10). First, we know that we are dealing with nominal proportional data. Sample to Sample or Sample to Population for Z-tests of Proportions
45. 45. You have been asked by your marketing team leader to determine if a sample of owners of vacuum brand “X” have statistically different satisfaction results (80% or 8 out of 10 satisfied) with a sample of owners who use vacuum brand “Y” (75% or 7.5 out of 10). First, we know that we are dealing with nominal proportional data. Sample to Sample or Sample to Population for Z-tests of Proportions
46. 46. You have been asked by your marketing team leader to determine if a sample of owners of vacuum brand “X” have statistically different satisfaction results (80% or 8 out of 10 satisfied) with a sample of owners who use vacuum brand “Y” (75% or 7.5 out of 10). Second, we are comparing two samples. Sample to Sample or Sample to Population for Z-tests of Proportions
47. 47. You have been asked by your marketing team leader to determine if a sample of owners of vacuum brand “X” have statistically different satisfaction results (80% or 8 out of 10 satisfied) with a sample of owners who use vacuum brand “Y” (75% or 7.5 out of 10). Second, we are comparing two samples. Sample to Sample or Sample to Population for Z-tests of Proportions
48. 48. You have been asked by your marketing team leader to determine if a sample of owners of vacuum brand “X” have statistically different satisfaction results (80% or 8 out of 10 satisfied) with a sample of owners who use vacuum brand “Y” (75% or 7.5 out of 10). Second, we are comparing two samples. 1st Sample Sample to Sample or Sample to Population for Z-tests of Proportions
49. 49. You have been asked by your marketing team leader to determine if a sample of owners of vacuum brand “X” have statistically different satisfaction results (80% or 8 out of 10 satisfied) with a sample of owners who use vacuum brand “Y” (75% or 7.5 out of 10). Second, we are comparing two samples. Sample to Sample or Sample to Population for Z-tests of Proportions
50. 50. You have been asked by your marketing team leader to determine if a sample of owners of vacuum brand “X” have statistically different satisfaction results (80% or 8 out of 10 satisfied) with a sample of owners who use vacuum brand “Y” (75% or 7.5 out of 10). Second, we are comparing two samples. 2nd Sample Sample to Sample or Sample to Population for Z-tests of Proportions
51. 51. You have been asked by your marketing team leader to determine if a sample of owners of vacuum brand “X” have statistically different satisfaction results (80% or 8 out of 10 satisfied) with a sample of owners who use vacuum brand “Y” (75% or 7.5 out of 10). 2nd Sample This is an example of a Sample to Sample problem Sample to Sample or Sample to Population for Z-tests of Proportions
52. 52. Sample to Sample Sample to Population Sample to Sample or Sample to Population for Z-tests of Proportions
53. 53. Which problem type are you working on? Sample to Sample or Sample to Population for Z-tests of Proportions
54. 54. Which problem type are you working on? Sample to Sample Sample to Population Sample to Sample or Sample to Population for Z-tests of Proportions