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Many students brag that they have more than 75 friends on a social media website. For a class project, a group of students asked a
Many students brag that they have more than 75 friends on a social media website. For a class project, a group of students asked a random sample of 13 students at their college who used the social media website about their number of friends and got the data avail Is there strong evidence that the mean number of friends for the student population at the college who use the social media website is larger than 75? Complete parts a through d below. Eff Click the icon to view the data about the numbers of friends. b. State the null and alternative hypotheses. Ho: H = 75 Ha : H 75 c. Find and interpret the test statistic value. t= (Round to two decimal places as needed.) What does the test statistic value represent? O A. The test statistic value is the number of standard deviations from the null hypothesis value to the sample mean. O B. The test statistic value is the expected mean of the differences between the sample data and the null hypothesis value. O C. The test statistic value is the number of standard errors from the null hypothesis value to the sample mean. O D. The test statistic value is the difference between the sample mean and the null hypothesis value. d. Report and interpret the P-value and state the conclusion in context. Use a significance level of 0.05. The P-value is (Round to three decimal places as needed.) What does the P-value represent? O A. The P-value is the probability of observing a sample mean this low or lower if the null hypothesis is true. O B. The P-value is the probability of the null hypothesis being true. O C. The P-value is the probability of observing a sample mean this high or higher if the null hypothesis is true. O D. The P-value is the probability of observing this value for the sample mean if the null hypothesis is true. Since the P-value is than the level of significance, the sample provide evidence to reject the null hypothesis. There is evidence to conclude that the mean number of friends on the social media website is larger than 75
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