Question

The Harry Potter books and movies made a lot of money. A fan wanted to learn which of his favorite movies made more money. He collected the amounts grossed in millions during the first few days of releases of the movies Harry Potter and the Half-Blood Prince and Harry Potter and the Order of the Phoenix. Use a 0.05 significance level to test his claim that the Prince movie did better at the box office.

Use the p-value method to determine whether or not to reject the null hypothesis and state your conclusion.

Days of Release/Book	Phoenix	Prince
1	44.2	58.2
2	18.4	22.0
3	25.8	26.8
4	28.3	29.2
5	23.0	21.8
6	10.4	9.9
7	9.1	9.5
8	8.4	7.5
9	7.6	6.9
10	10.2	9.3

4. Write the hypotheses in symbolic form, determine if the test is right-tailed, left-tailed, or two tailed and explain why.

5. Calculate the critical value, the test statistic, and p-value. Show calculations below.

6. Make a decision about the null hypothesis and explain your reasoning, then make a conclusion about the claim in nontechnical terms.

Answer 1