again. Of the test audience, 60 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 0.01 < p-value < 0.025 O 0.025 s p-value < 0.05 0.05 ≤ p-value < 0.10 0.3; versus HA: Op-value > 0.10 O p-value < 0.01 c. At the 5% significance level, what is the conclusion? Do not reject H₂, the population proportion is greater than 0.30. O Do not reject Hg, the population proportion is not greater than 0.30. O Reject Ho, the population proportion is not greater than 0.30. O Reject Ho, the population proportion is greater than 0.30. 0.3

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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 40 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 150 people, and after the movie they asked them if they would see the movie in theaters
again. Of the test audience, 60 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 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 ≥ 0.10
O p-value < 0.01
0.3; versus HA:
c. At the 5% significance level, what is the conclusion?
O Do not reject Ho, the population proportion is greater than 0.30.
O Do not reject Ho, the population proportion is not greater than 0.30.
O 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.
O Do not reject Ho, the population proportion is greater than 0.30.
O Do not reject Ho, the population proportion is not greater than 0.30.
O Reject Ho, the population proportion is not greater than 0.30.
O Reject Ho, the population proportion is greater than 0.30.
e. Interpret your results.
0.3
The production company's expectation of more than 30% of viewers returning 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 40 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 150 people, and after the movie they asked them if they would see the movie in theaters again. Of the test audience, 60 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 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 ≥ 0.10 O p-value < 0.01 0.3; versus HA: c. At the 5% significance level, what is the conclusion? O Do not reject Ho, the population proportion is greater than 0.30. O Do not reject Ho, the population proportion is not greater than 0.30. O 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. O Do not reject Ho, the population proportion is greater than 0.30. O Do not reject Ho, the population proportion is not greater than 0.30. O Reject Ho, the population proportion is not greater than 0.30. O Reject Ho, the population proportion is greater than 0.30. e. Interpret your results. 0.3 The production company's expectation of more than 30% of viewers returning to the theaters for the same movie is by the sample data.
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