A statistics professor wants to see if more than 80% of her students enjoyed her class. At the end of the term, she takes a random sample of students from her large class and asks, in an anonymous survey, if the students enjoyed taking her class. He decides to use the following hypotheses: Ho: p=0.80 HA: p> 0.80 Which of the following statements is correct about this situation? A type II error would mean the professor decides that the true proportion of students that enjoyed her class is greater than 80%, when in reality, it was equal to 80%. A type I error would mean the professor decides that the true proportion of students that enjoyed her class is greater than 80%, when in reality, it was equal to 80%. Power for this situation would be the professor deciding the true proportion of students that enjoyed her class is equal to 80% and it really is equal to 80%. As long as the sample size is really larger, there is NO way the professor will make a type I or II error.

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A statistics professor wants to see if more than 80% of her students enjoyed her class. At the end of the term, she takes a
random sample of students from her large class and asks, in an anonymous survey, if the students enjoyed taking her
class. He decides to use the following hypotheses:
Ho : p=0.80
H: p>0.80
Which of the following statements is correct about this situation?
A type II error would mean the professor decides that the true proportion of students that enjoyed her class is greater
than 80%, when in reality, it was equal to 80%.
A type I error would mean the professor decides that the true proportion of students that enjoyed her class is greater
than 80%, when in reality, it was equal to 80%.
Power for this situation would be the professor deciding the true proportion of students that enjoyed her class is equal
to 80% and it really is equal to 80%.
As long as the sample size is really larger, there is NO way the professor will make a type I or II error.
Transcribed Image Text:A statistics professor wants to see if more than 80% of her students enjoyed her class. At the end of the term, she takes a random sample of students from her large class and asks, in an anonymous survey, if the students enjoyed taking her class. He decides to use the following hypotheses: Ho : p=0.80 H: p>0.80 Which of the following statements is correct about this situation? A type II error would mean the professor decides that the true proportion of students that enjoyed her class is greater than 80%, when in reality, it was equal to 80%. A type I error would mean the professor decides that the true proportion of students that enjoyed her class is greater than 80%, when in reality, it was equal to 80%. Power for this situation would be the professor deciding the true proportion of students that enjoyed her class is equal to 80% and it really is equal to 80%. As long as the sample size is really larger, there is NO way the professor will make a type I or II error.
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