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Q. 1

Expert-verifiedFound in: Page 733

Book edition
4th

Author(s)
David Moore,Daren Starnes,Dan Yates

Pages
809 pages

ISBN
9781319113339

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) $99.$

(b) The degrees of freedom for the test is $9$.

Need to find the degrees of freedom for the test.

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" $df=c-1\phantom{\rule{0ex}{0ex}}=10-1\phantom{\rule{0ex}{0ex}}=9$

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