elevision networks rely heavily on ratings of TV shows when deciding whether to renew a show for another season. Suppose etwork has decided that "Miniature Golf with the Stars" will only be renewed if it can be established that more than 12% of J.S. adults watch the show. A polling company asks a random sample of 2000 U.S. adults if they watch "Miniature Golf with he Stars." The network uses the data to perform a test of Ho: p = 0.12 Ha: p > 0.12 where p is the true proportion of all U.S. adults who watch the show. Which of the following is not true regarding Type I and Type II errors in this setting? A Type I occurs if the television network finds convincing evidence that the true proportion of U.S. adults who watch "Miniatura Colf with the

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Television networks rely heavily on ratings of TV shows when deciding whether to renew a show for another season. Suppose a
network has decided that "Miniature Golf with the Stars" will only be renewed if it can be established that more than 12% of
U.S. adults watch the show. A polling company asks a random sample of 2000 U.S. adults if they watch "Miniature Golf with
the Stars." The network uses the data to perform a test of
Ho: p = 0.12
H₁ : p > 0.12
where p is the true proportion of all U.S. adults who watch the show.
Which of the following is not true regarding Type I and Type II errors in this setting?
A Type I occurs if the television network finds convincing evidence that the true proportion of U.S. adults who watch
"Miniature Golf with the Stars" is greater than 0.12, when it is really equal to 0.12.
The probability of making a Type II error would be reduced if a smaller a level was chosen.
A possible consequence of a Type I error here is the show will renew for another season when, in reality, the interest is
not able to support it.
The probability of making a Type I error would be reduced if a smaller level was chosen.
A Type II error occurs if the television network doesn't find convincing evidence that the true proportion of U.S. adults
who watch "Miniature Golf with the Stars" is greater than 0.12, when it really is greater than 0.12.
Transcribed Image Text:Television networks rely heavily on ratings of TV shows when deciding whether to renew a show for another season. Suppose a network has decided that "Miniature Golf with the Stars" will only be renewed if it can be established that more than 12% of U.S. adults watch the show. A polling company asks a random sample of 2000 U.S. adults if they watch "Miniature Golf with the Stars." The network uses the data to perform a test of Ho: p = 0.12 H₁ : p > 0.12 where p is the true proportion of all U.S. adults who watch the show. Which of the following is not true regarding Type I and Type II errors in this setting? A Type I occurs if the television network finds convincing evidence that the true proportion of U.S. adults who watch "Miniature Golf with the Stars" is greater than 0.12, when it is really equal to 0.12. The probability of making a Type II error would be reduced if a smaller a level was chosen. A possible consequence of a Type I error here is the show will renew for another season when, in reality, the interest is not able to support it. The probability of making a Type I error would be reduced if a smaller level was chosen. A Type II error occurs if the television network doesn't find convincing evidence that the true proportion of U.S. adults who watch "Miniature Golf with the Stars" is greater than 0.12, when it really is greater than 0.12.
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