Suppose a survey of 895 college students who were asked about their smoking behavior. Of the students surveyed, 264 cdlassified themselves as nonsmokers, but said "yes" when asked later in the survey if they smoked. These students were classified as "phantom smokers," meaning that they did not view themselves as smokers even though they do smoke at times. The authors were interested in using these data to determine if there is convincing evidence that more than 25% of college students fall into the phantom smoker category. Suppose that the sample of 895 college students can be regarded as representative of college students in the United States. (a) What hypotheses would you test to answer the question posed? O H: p< 0.25 versus H: p > 0.25 O Ho:p = 0.25 versus H: p< 0.25 O H: p = 0.25 versus H: p> 0.25 O H:p = 0.25 versus H: p= 0.25 O H:p+ 0.25 versus H: p = 0.25 (b) Is the sample size large enough for a large-sample test for a population proportion to be appropriate? O Yes O No (c) What is the value of the test statistic and the associated P-value for this test? (Use a table Round your test statistic to two decimal places and your P-value to four decimal places.) P-value - (d) If a significance level of 0.05 were chosen, would you reject the null hypothesis or fail to reject the null hypothesis? O Reject Ho- O Fail to reject Ho-
Suppose a survey of 895 college students who were asked about their smoking behavior. Of the students surveyed, 264 cdlassified themselves as nonsmokers, but said "yes" when asked later in the survey if they smoked. These students were classified as "phantom smokers," meaning that they did not view themselves as smokers even though they do smoke at times. The authors were interested in using these data to determine if there is convincing evidence that more than 25% of college students fall into the phantom smoker category. Suppose that the sample of 895 college students can be regarded as representative of college students in the United States. (a) What hypotheses would you test to answer the question posed? O H: p< 0.25 versus H: p > 0.25 O Ho:p = 0.25 versus H: p< 0.25 O H: p = 0.25 versus H: p> 0.25 O H:p = 0.25 versus H: p= 0.25 O H:p+ 0.25 versus H: p = 0.25 (b) Is the sample size large enough for a large-sample test for a population proportion to be appropriate? O Yes O No (c) What is the value of the test statistic and the associated P-value for this test? (Use a table Round your test statistic to two decimal places and your P-value to four decimal places.) P-value - (d) If a significance level of 0.05 were chosen, would you reject the null hypothesis or fail to reject the null hypothesis? O Reject Ho- O Fail to reject Ho-
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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PECKSTAT2COREQ 10.R.092.S.
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Suppose a survey of 895 college students who were asked about their smoking behavior. Of the students surveyed, 264 classified themselves as nonsmokers, but said "yes" when asked later in the survey if they
smoked. These students were classified as "phantom smokers," meaning that they did not view themselves as smokers even though they do smoke at times. The authors were interested in using these data to
determine if there is convincing evidence that more than 25% of college students fall into the phantom smoker category. Suppose that the sample of 895 college students can be regarded as representative of
college students in the United States.
(a) What hypotheses would you test to answer the question posed?
O Ho: p < 0.25 versus H.: p > 0.25
O Ho: p = 0.25 versus H: p < 0.25
O H,: p = 0.25 versus H: p > 0.25
H:p = 0.25 versus H: p+ 0.25
O H.: p+ 0.25 versus H: p = 0.25
(b) Is the sample size large enough for a large-sample test for a population proportion to be appropriate?
O Yes
O No
(c) What is the value of the test statistic and the associated P-value for this test? (Use a table
Round your test statistic to two decimal places and your P-value to four decimal places.)
z =
p-value =
(d) If a significance level of 0.05 were chosen, would you reject the null hypothesis or fail to reject the null hypothesis?
O Reject Ho.
O Fail to reject Ho.
8:30 PM
O Type here to search
O 4) G
W
26
12/11/2020
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