11.2.7-T Question Help Conduct the hypothesis test and provide the test statisti
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11.2.7-T Question Help 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 1,256 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 x2 16.222 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? The test statistic is 16.222·(Type an integer or a decimal.) The critical value is 14.684 (Round to three decimal places as needed.) The P-value is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer part Clear All Check AnswerExplanation / Answer
Since there are 10 categories of outcomes i . e. we have n= 10
Hence degrees of freedom for the given test is n-1=10-1=9
The p-value for the calculated chi-squared score 16.222 is 0.0624 approximately which is significant at level of significance =0.10. Hence we reject the null hypothesis.
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