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Chapter 11: Q. 1 (page 733)

A chi-square goodness-of-fit 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 .

(c) 10 .

(e) None of these.

(b) 9 .

(d) 99.

Short Answer

Expert verified

(b) The degrees of freedom for the test is9.

Step by step solution

01

Given Information

Need to find the degrees of freedom for the test.

02

Explanation

We have been given a 0 to 9 spinner, which has 10 possible outcomes: 0,1,2,3,4,5,6,7,8,9.

This then implies that there are 10 possible categories for the variables.

c=10

The degrees of freedom for the (chi-square goodness-of-fit) test is then the number of categories decreased by 1.

localid="1650685212354" df=c-1=10-1=9

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Most popular questions from this chapter

Calculate the expected count for each color, assuming that the company’s claim is true. Show your work.

Yahtzee (5.3,6.3)In the game of Yahtzee, 5six-sided dice are rolled simultaneously. To get a Yahtzee, the player must get the same number on all 5dice.

(a) Luis says that the probability of getting a Yahtzee in one roll of the dice is 165. Explain why Luis is wrong.

(b) Nassir decides to keep rolling all 5 dice until he gets a Yahtzee. He is surprised when he still hasn’t gotten a Yahtzee after25rolls. Should he be? Calculate an appropriate probability to support your answer .

Design (4.2) Was this an observational study or an experiment? Justify your answer.

T11.5. We compute the value of theχ2statistic to be 6.58. Assuming that the conditions for inference are met, the P-value of our test is

(a) greater than 0.20

(b) between 0.10and 0.20.

(c) between 0.05and 0.10.

(d) between0.01 and 0.05

(e) less than 0.01

Perform a follow-up analysis of the test in Exercise 40 by finding the individual components of the chi-square statistic. Which cell(s) contributed most to the final result?
See all solutions

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