Answer the following questions:
Q2:
The test statistic is 16.841'. (Type an integer or a decimal. Do not round.) The critical value is 14.534'. (Round to three decimal places as needed.) State the conclusion. Reject ' H0. There is sufcient 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. Question is: nnmnlete Ten on the red indicators: to see innnrrent answers: ('3 Determine the null and alternative hypotheses. H0: All days of the week have an equal chance of being selected. ' H1 : At least one day of the week has a different chance of being selected. ' Identify the test statistic. 12 = 150.918' (Type an integer or a decimal.) Identify the critical value. 12 = 12.592' (Type an integer or a decimal.) State the conclusion. Reject H0. There is ' sufcient evidence to warrant rejection of the claim that the days of the week are selected with a uniform distribution. It does not appear that all days have the same chance of being selected. A random sample of 770 subjects was asked to identify the day of the week that is best for quality family time. Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. The table below shows goodness-oft test results from the claim and data from the study. Test that claim using either the critical value method or the P-value method with an assumed signicance level of a = 0.05. Num Categories 7 :2\" Stat'St'c' 3415.392 Degrees of freedom 6 Critical 71:2 12.592 Expected Freq 1 10.0000 P-Value 0.0000 Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860 0.412 0.554 0.831 1.145 1.610 9.236 11.071 12.833 15.086 16.750 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 20.090 21.955 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589 10 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188Conduct the hypothesis test and provide the test statistic and the critical value. and state the conclusion. A person randomly selected 100 checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the indicated values. Use a 0.025 signicance level to test the claim that the four categories are equally likely. The person expected that many checks for whole dollar amounts would result in a disproportionately high frequency for the rst category, but do the results support that expectation? Cents portion of check| 0-24 25-49 50-74 75-99 g Number | 31 21 22 26 Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. Aperson drilled a hole in a die and lled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies forthe outcomes of 1, 2, 3, 4, 5, and 6, respectively: 25, 31, 43, 39, 29, 33. Use a 0.025 signicance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die
