Suppose a survey of 895 college students were asked about

Last updated: 11/27/2023

Suppose a survey of 895 college students were asked about their smoking behavior Of the students surveyed 266 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 USE SALT a What hypotheses would you test to answer the question posed Let p be the population proportion of college students who fall into the phantom smoker category Enter for as needed Ho H b Is the sample size large enough for a large sample test for a population proportion to be appropriate o Yes No c What is the value of the test statistic for this test Round your answer to two decimal places Use technology to find the associated P value for this test Round your answer 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 Fail to reject Ho