a. Specify the competing hypotheses to test if more than 30% of the viewers will return to see the movie again. 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. 0.3; versus HA p-value < 0.01 O 0.01 s p-value < 0.025 O 0.025 s p-value < 0.05 O 0.05 s p-value <0.10 p-value > 0.10 c. At the 5% significance level, what is the conclusion? O Reject #. the population proportion is greater than 0.30. O Reject the population proportion is not greater than 0.30. O Do not reject #. the population proportion is greater than 0.30. O Do not reject #. the population proportion is not greater than 0.30. d. Repeat the analysis at a 10% level of significance. 0.3

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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 210 people, and after the movie they asked them if they would see the movie in theaters
again. Of the test audience, 71 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:
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 p-value < 0.01
O 0.01 < p-value < 0.025
O 0.025 s p-value < 0.05
O 0.05 s p-value < 0.10
O p-value 20.10
0.3; versus HA
c. At the 5% significance level, what is the conclusion?
O Reject , the population proportion is greater than 0.30.
O Reject #0, the population proportion is not greater than 0.30.
O Do not reject Ho, the population proportion is greater than 0.30.
O Do not reject #o, the population proportion is not greater than 0.30.
d. Repeat the analysis at a 10 % level of significance.
O Reject #, the population proportion is greater than 0.30.
O Reject , the population proportion is not greater than 0.30.
O Do not reject #o, the population proportion is greater than 0.30.
O Do not reject Ho, the population proportion is not greater than 0.30.
e. Interpret your results.
0.3
The production company's expectation of more than 30% of viewers retuming to the theaters for the same movie is
by the sample data.
Transcribed Image Text: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 210 people, and after the movie they asked them if they would see the movie in theaters again. Of the test audience, 71 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: 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 p-value < 0.01 O 0.01 < p-value < 0.025 O 0.025 s p-value < 0.05 O 0.05 s p-value < 0.10 O p-value 20.10 0.3; versus HA c. At the 5% significance level, what is the conclusion? O Reject , the population proportion is greater than 0.30. O Reject #0, the population proportion is not greater than 0.30. O Do not reject Ho, the population proportion is greater than 0.30. O Do not reject #o, the population proportion is not greater than 0.30. d. Repeat the analysis at a 10 % level of significance. O Reject #, the population proportion is greater than 0.30. O Reject , the population proportion is not greater than 0.30. O Do not reject #o, the population proportion is greater than 0.30. O Do not reject Ho, the population proportion is not greater than 0.30. e. Interpret your results. 0.3 The production company's expectation of more than 30% of viewers retuming to the theaters for the same movie is by the sample data.
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