Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person purchased a slot machine and tested it by playing it 1, 195 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 y = 16.760. Use a 0. 10 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? Click here to view the chi-square distribution table. The test statistic is]. (Type an integer or a decimal. Do not round.) The critical value is (Round to three decimal places as needed.) State the conclusion. Ho- There sufficient evidence to warrant rejection of the claim that the observed outcomes agree with the expected frequencies. The slot machine to be functioning as expected.

The test statistic is 16.760

The critical value is 14.684

Reject H₀. There is sufficient evidence to warrant rejection of the claim that the observed outcomes agree with the expected frequencies. The slot machine does not appear to be functioning as expected.

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Step-by-step explanation

Given: 10 different categories, so n=10

significance level α=0.10

Null hypothesis, Ho: The actual outcomes agree with the expected frequencies.

Alternative Hypothesis, H₁: The actual outcomes do not agree with the expected frequencies.

The test statistic is 16.760(given)

Find the critical value by Excel Function:

degrees of freedom =n-1=10-1=9

α=0.10

Use the Excel Formula:

=CHIINV(0.10,9)

=14.684

The critical value is 14.684

Since test statistic is greater than the critical value, we reject null hypothesis Ho. Therefore, the actual outcomes do not agree with the expected frequencies.

Reject H₀. There is sufficient evidence to warrant rejection of the claim that the observed outcomes agree with the expected frequencies. The slot machine does not appear to be functioning as expected.