Question

A social researcher wants to test the hypothesis that college students may experience different levels of happiness depending on how much they are using social media. She surveyed students about the frequency of their social media use and their happiness. Among 10 heavy users, she found an average happiness score of 4.4 with a variance of 4.3, whereas the 10 light users reported an average happiness score of 6.5 with a variance of 3.4.

heavy	light
4	6
6	6
8	8
2	7
7	5
4	6
3	9
5	6
2	9
3	3

Answer the following questions:

1. What is the null hypothesis? (1 point)

2. What is the research hypothesis? (1 point)

3. What is the dependent variable? (1 point)

4. Write out the results of an independent samples t-test using these data. In other words, provide the numerical answers: t-statistic, your critical value of t (or p-value), and degrees of freedom. (4 points)

5. Write a paragraph to explain the results of the hypothesis test using statistics from the problem with alpha=0.05. This should be two or more formal sentences to describe your findings and conclusions. (3 points)

Answer 1

As we can see that calculated |t| is greater than critical t so reject null hypothesis.

So from this test we conclude that the average happiness is not same in both groups.So amount of use of social media is certainly affecting the happiness.

Please upvote If I am able to help you.

Thanks