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 1,206 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 = 8.926. 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. An investigator analyzed the leading digits from 769 checks issued by seven suspect companies. The frequencies were found to be 217, 150, 111, 70, 68, 54, 44, 43, and 12, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result from fraud. Use a 0.10 significance level to test for goodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud? Leading Digit Actual Frequency Benford's Law: Distribution of Leading Digits Determine the null and alternative hypotheses. Ho H₁ Calculate the test statistic, x² x²=(Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) State the conclusion. Ho. There checks are the result of fraud. 2 3 4 5 6 7 8 9 217 30.1% 150 111 70 68 54 44 43 12 17.6% 12.5% 9.7% 7.9% 6.7% 5.8% 5.1% 4.6% sufficient evidence to warrant rejection of the claim that the leading digits are from a population with a distribution that conforms to Benford's law. It D that the