A movie production company is releasing a movie with the hopes that many viewers will return to see the movie in the theater for a second time. Their target is to have 30 million viewers, and they want more than 30% of the viewers to want to see the movie again. They show the movie to a test audience of 175 people, and after the movie they asked them if they would see the movie in theaters again. Of the test audience, 65 people said they would see the movie again. a. Specify the competing hypotheses to test if more than 30% of the viewers will return to see the movie again. Ho: 0.3; versus HA b-1. Calculate the value of the test statistic. Note: Round final answer to 2 decimal places. Test statistic b-2. Find the p-value. O 0.025 s p-value < 0.05 O 0.05 s p-value < 0.10 O p-value ≥ 0.10 O p-value < 0.01 O 0.01 s p-value < 0.025 c. At the 5% significance level, what is the conclusion? ○ Do not reject Ho, the population proportion is greater than 0.30. ○ Do not reject Ho, the population proportion is not greater than 0.30. Reject Ho, the population proportion is not greater than 0.30. O Reject Ho, the population proportion is greater than 0.30. d. Repeat the analysis at a 10% level of significance. ○ Do not reject Ho, the population proportion is greater than 0.30. ○ Do not reject Ho, the population proportion is not greater than 0.30. ○ Reject Ho, the population proportion is not greater than 0.30. ○ Reject Ho, the population proportion is greater than 0.30. 0.3