Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Textbook Question
Chapter 8, Problem 17CR
A researcher claims that 5% of people who wear eyeglasses purchase their eyeglasses online. Describe type I and type II errors for a hypothesis test of the claim. (Source: Consumer Reports)
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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. After taking the test and seeing your score for this subsection, you're interested in the mean
score, µ, among the general population on this subsection. The website reports that µ is 142, but you believe
that u is less than 142. 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 138 and that the standard
deviation of their scores is 20.
Based on this information, answer the questions below.
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used for the test?
Aa
H:u is (?
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In the context of this test, what is a Type I error?
A Type I error is (?
the hypothesis that u is (?
when, in fact, u is (?
Suppose that you decide to reject the null hypothesis. What sort of error might you be
making? (?
One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your
score for this subsection, you're interested in the mean score, µ, among the general population on this subsection. The website reports that µ is 142, but you
believe that u is less than 142. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that
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Based on this information, answer the questions below.
What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test?
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In the context of this test, what is a Type II error?
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Suppose that you decide not to reject the null hypothesis. What sort of error might you be making?
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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. After taking the test and seeing your score for this subsection, you're interested in the mean score,
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, among the general population on this subsection. The website reports that
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, but you believe that
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. 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
145
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What are the null hypothesis (
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Chapter 8 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 8.1 - Classify each pair of samples as independent or...Ch. 8.1 - A survey indicates that the mean annual wages for...Ch. 8.1 - A travel agency claims that the average daily cost...Ch. 8.1 - What is the difference between two samples that...Ch. 8.1 - Explain how to perform a two-sample z-test for the...Ch. 8.1 - Describe another way you can perform a hypothesis...Ch. 8.1 - What conditions are necessary in order to use the...Ch. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Independent and Dependent Samples In Exercises 58,...
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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. After taking the test and seeing your score for this subsection, you're interested in the mean score, µ, among the general population on this subsection. The website reports that u is 148, but you believe that u is greater than 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 28. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? |H;: µ is ? ? In the context of this test, what is a Type I error? A Type I error is ? fact, u is ? v the hypothesis that u is ? v? v. when, in Suppose that you decide to reject the null hypothesis. What sort of error might you be making? ?arrow_forwardOne personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score, μ , among the general population on this subsection. The website reports that μ is 148 , but you believe that μ is greater than 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 152 and that the standard deviation of their scores is 28 . Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 : μ is H1 : μ is In the context of this test, what is a Type I error?A Type I error is the hypothesis that μ is when, in fact, μ is .Suppose that you decide not to…arrow_forwardGood credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720. She finds that a random sample of 40 people had a mean FICO score of 760 with a standerd deviation of 95, Can the economist conclude that the mean FICO score is greater than 720? Use the a=0.01 level of significance and the P-value method with the T1-B4 Plus calculator. Part 1 of 4 State the appropriate null and altemate hypotheses. H D-0 H: This hypothesis test is a (Choose one) test. left-tailed right-tailed two-tailedarrow_forward
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