Upcoming SlideShare
×

# B.4 tests for proportions

331 views
304 views

Published on

Published in: Technology, Education
0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
331
On SlideShare
0
From Embeds
0
Number of Embeds
1
Actions
Shares
0
2
0
Likes
0
Embeds 0
No embeds

No notes for slide

### B.4 tests for proportions

1. 1. Large Sample Test for a Proportion
2. 2. Conditions • Simple random Sample • Each sample point has just two possible outcomes (success and failure) • Sample includes at least 10 successes and 10 failures (np>10 and nq>10 ) • Population size is at least 10 times larger than the sample
3. 3. Conducting a Hypothesis test 1- state the hypothesis: Ho & Ha (mutually exclusive) 2- Analysis Plan * one sample z-test to determine whether the hypothesized population proportions differs significantly from the observed sample proportion 3- Analyze: find the TS and its associated P-value * SD (σ) of a sampling distribution p= hypothesized value of population proportion in null hypothesis *TS: z-score: z= (p*- p) p*= sample proportion σ σ= SD of sample statistic *P-value- probability of observing a sample statistic as extreme as the TS (USE appendix A) 4- Interpret- compare the P-value to the significance level and reject null when the P-value is less than the Significance level
4. 4. Choosing the sample size