One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score, , among the general population on this subsection. The website reports that μ is 148, but you have good reason to believe that μ differs from 148. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 155 and that the standard deviation of their scores is 22. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test? H:0 H₁ :0 (b) Suppose that you decide to reject the null hypothesis. What sort of error might you be making? (Choose one) ▼ (c) Suppose the true mean score among the general population on the subsection is 148. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) when, in fact, μ is (Choose one) Y the hypothesis that is (Choose one) T (Choose one) ▼ μ 0<0 Oso 0>0 020 X X 0=0 00 S

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score,
μ, among the general population on this subsection. The website reports that u is 148, but you have good reason to believe that u differs from 148. You decide
to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 155
and that the standard deviation of their scores is 22.
Based on this information, complete the parts below.
(a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test?
H:0
H₁ :0
(b) Suppose that you decide to reject the null hypothesis. What sort of error might you be making?
(Choose one) ▼
(c) Suppose the true mean score among the general population on the subsection is 148. Fill in the blanks to describe a
Type I error.
A Type I error would be (Choose one)
when, in fact, is (Choose one) ▼
the hypothesis that is (Choose one)
▼ (Choose one) ▼
μ
X
4
0<0 Oso 0>0
X
020 0=0 0#0
Transcribed Image Text:One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score, μ, among the general population on this subsection. The website reports that u is 148, but you have good reason to believe that u differs from 148. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 155 and that the standard deviation of their scores is 22. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test? H:0 H₁ :0 (b) Suppose that you decide to reject the null hypothesis. What sort of error might you be making? (Choose one) ▼ (c) Suppose the true mean score among the general population on the subsection is 148. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) when, in fact, is (Choose one) ▼ the hypothesis that is (Choose one) ▼ (Choose one) ▼ μ X 4 0<0 Oso 0>0 X 020 0=0 0#0
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