Conduct 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 0.10 significance 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 first category, but do the results support that expectation? Cents portion of check 25-49 16 Number Click here to view the chi-square distribution table. The test statistic is (Round to three decimal places as needed.). 0-24 52 The critical value is (Round to three decimal places as needed.) State the conclusion. high. Ho. There 50-74 17 75-99 15 sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results to support the expectation that the frequency for the first category is disproportionately

Use the three-read strategy to understand the following exercise from a statistics textbook, and then proceed to complete the exercise. Suppose that in a study to determine if hormone therapy increases risk of venous thrombosis in menopausal women, each person in a sample of 589 women who had been diagnosed with venous thrombosis was classified according to hormone use. Each woman in a sample of 2,243 women who had not been diagnosed with venous thrombosis was also classified according to hormone use. Data from the study are given in the accompanying table. The women in each of the two samples were selected at random from patients at a large HMO in a certain U.S. state.   Current Hormone Use None EsterifiedEstrogen ConjugatedEquineEstrogen Venous Thrombosis 382 86 121 No VenousThrombosis 1,439 505 299 Is there convincing evidence that the proportions of those who would fall into each of the hormone use categories are not the same for women who have been diagnosed with…

A survey was done of 40 people. They were asked: What type of movies would you like to see at this theater? Family, children, comedy, sci-fi, horror, action, or double feature? 40 people answered the following: Family:  37 Children:  18 Comedy:  26 Sci-fi:  12 Horror:  6 Action:  18 Double Feature:  19 Find the following: Probability Frequency Mean Median Mode Variance or Standard Deviation

In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the a 0.05 significance level, test the claim that the responses occur with the same frequency. Ho: The responses to the questions occur with the same frequency. H₁: The responses to the questions do not occur with the same frequency. Observed Response Frequency Expected Frequency (0-E)2 E A 6 16.2 8 B 10 16.2 C 24 16.2 D 18 16.2 8 E 23 16.2 a. What is the X2 test-statistic for this data? Round to four decimal places. x²= b. What is the p-value? Round to four decimal places. p-value= c. What would be the conclusion of this hypothesis test? O Fail to reject the hull hypothesis. Reject the null hypothesis. d. What is the final conclusion? O There is sufficient evidence to conclude the test question responses occur with the same frequency. There is sufficient evidence to conclude the test question responses do not occur with the same frequency. O There is not sufficient evidence to…