A cCOMPANY wants to promote a new product to college students using social media. According to 2021 data, the average Facebook user has about 300 friends, and Facebook is the most popular social network among college students. The company has decided to start an advertising campaign if they get conclusive evidence that the average number of Facebook friends among college students is over 300. The company randomly selected a sample of 51 Ontario college students. For this sample group, the mean is 308 and the standard deviation is 45. Suppose that the distribution of number of Facebook friends is symmetric and approximately bell-shaped. Use a 0.040 level of significance to test the claim that the average number of Facebook friends among college students is over 300. Based on the result, should the company start the advertising campaign?

Round to 3 decimal places where appropriate.

(a) State the null and alternative hypotheses, and identify which one is the claim. H0H0: Select an answer s p x ? > = < H1H1: Select an answer s x p ? > = < Which one is the claim:

• H0H0
• H1H1

For parts (b), (c) use the correct sign for the tt-value and test statistic.

(b) What is the critical tt-value? (c) What is the test statistic? (d) Is the null hypothesis rejected? Is the alternative hypothesis supported?

• Reject H0H0 and support H1H1
• Fail to reject H0H0 and support H1H1
• Reject H0H0 and fail to support H1H1
• Fail to reject H0H0 and fail to support H1H1

(e) Select the correct conclusion.

• Yes, the company should start the advertising campaign as we prove H0H0.
• No, the company should not start the advertising campaign as 300 is less than 308.
• Yes, the company should start the advertising campaign as 300 is greater than 308.
• No, the company should not start the advertising campaign as we prove H1H1.
• At a 0.040 level of significance, the sample data support the claim that the average number of Facebook friends among college students is over 300. The company should start the advertising campaign.
• At a 0.040 level of significance, there is not sufficient sample evidence that the average number of Facebook friends among college students is over 300. Based on the research, we cannot conclude that the company should start the advertising campaign.