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Section I: Multiple Choice Select the best answer for each question. A chi-square test

Chapter 11, Problem T11.1

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QUESTION:

Section I: Multiple Choice Select the best answer for each question. A chi-square test is used to test whether a 0 to 9 spinner is fair (that is, the outcomes are all equally likely). The spinner is spun 100 times, and the results are recorded. The degrees of freedom for the test will be (a) 8. (b) 9. (c) 10. (d) 99. (e) None of these. Exercises T11.2 and T11.3 refer to the following setting. Recent revenue shortfalls in a midwestern state led to a reduction in the state budget for higher education. To offset the reduction, the largest state university proposed a 25% tuition increase. It was determined that such an increase was needed simply to compensate for the lost support from the state. Separate random samples of 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors from the university were asked whether they were strongly opposed to the increase, given that it was the minimum increase necessary to maintain the universitys budget at current levels. Here are the results. Strongly Opposed? Year Freshman Sophomore Junior Senior Yes 39 36 29 18 No 11 14 21 32

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QUESTION:

Section I: Multiple Choice Select the best answer for each question. A chi-square test is used to test whether a 0 to 9 spinner is fair (that is, the outcomes are all equally likely). The spinner is spun 100 times, and the results are recorded. The degrees of freedom for the test will be (a) 8. (b) 9. (c) 10. (d) 99. (e) None of these. Exercises T11.2 and T11.3 refer to the following setting. Recent revenue shortfalls in a midwestern state led to a reduction in the state budget for higher education. To offset the reduction, the largest state university proposed a 25% tuition increase. It was determined that such an increase was needed simply to compensate for the lost support from the state. Separate random samples of 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors from the university were asked whether they were strongly opposed to the increase, given that it was the minimum increase necessary to maintain the universitys budget at current levels. Here are the results. Strongly Opposed? Year Freshman Sophomore Junior Senior Yes 39 36 29 18 No 11 14 21 32

ANSWER:

Step 1 of 2

Given,

Sample size,

We have to calculate the degrees of freedom for the chi-square test used to test whether a 0 to 9 spinner is fair.

 

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