Conduct the hypothesis test and provide the test statistic c

Conduct the hypothesis test and provide the test statistic, critical value and P-value, and state the conclusion. A person purchased a slot machine and tested it by playing it 1.188 times. There are 10 different categories of outcomes. including no win, win jackpot. win with three bells. and so on. When testing the claim that the observed outcomes agree with the expected frequencies, the author obtained a test statistic of X^2= 20.389. Use a 0.025 significance level to test the claim that the actual outcomes agree with the expected frequencies. Does the slot machine appear to be functioning as expected? The test statistic is . (Type an integer or a decimal.) The critical value is . (Round to three decimal places as needed.) The P-value is . (Round to four decimal places as needed.)

Solution

1.

The test statistic is already given,

chi^2 = 20.389 [ANSWER]

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2.

As df = a - 1 = 10 - 1 = 9, using table or technology, at 0.025 significance,

chi^2(crit) = 19.0227678

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3.

Using technology, as df = 9, for the given chi^2,

P = 0.015657776 [ANSWER]