4. In 2013, 17 of all adults in the United States give up something.pdf

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In 2013, 17% of US adults gave up something for Lent. In 2014, a random sample of 400 people found that 51 people said they would observe Lent. This represents 12.75% of the sample. To test if fewer people observed Lent in 2014, the null hypothesis is that the proportion is equal to 17% and the alternative is that the proportion is less than 17%. The test statistic, p-value, and conclusion are calculated to determine if the sample provides enough evidence to reject the null hypothesis.

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4. In 2013, 17% of all adults in the United States give up something for Lent. Baved on Twitter
volame, 1be ue? five things people are giving up for Lent in 2014 include (1) chocolate, (2)
twither, (3) chool, (4) akchbil, and (5) swearing. In 2014, a random sample of 400 people was
taken and each person is aaked if he or she wal be giving up anything for Lent. Fifty-one people
said they would observe Lent. (a) Suppose we wish to determine if fewer people observed Lent
in 2014 than 2013.. State the hypotheses fos HA:P=.17S1/400=.1275 this test. (b) Calculate the
test statistic. (c) Calculate the p-value. (d) Interpret the p-value (e) State the conclusion. (f) Based
on your decision, would a 95% confidence interval contain 0.17 ? Why or why not? 2

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