Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a a = 0.05 significance level. Observed Expected Frequency Frequency Category A 18 В 13 C 22 19 19 a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. x² = c. What are the degrees of freedom? d.f.3D d. What is the p-value for this sample? Round to four decimal places. p-value = e. Is the p-value less than a? ?

Which of the following is NOT a requirement to conduct a​ goodness-of-fit test?       Question content area bottom Part 1 Choose the correct answer below.     A. The sample data consist of frequency counts for each of the different categories.   B. The data have been randomly selected.   C. For each​ category, the observed frequency is at least 5.   D. For each​ category, the expected frequency is at least 5.

The average American gets a haircut every 43 days. Is the average different for college students? The data below shows the results of a survey of 11 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 32, 46, 49, 45, 50, 49, 43, 45, 38, 46, 42 What can be concluded at the the a =0.01 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Họ: ? Select an answer v H. Select an answer Y C. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value - (Please show your answer to 3 decimal places.) e. The p-value is 2 f. Based on this, we should Select an answer the null hypothesis, g. Thus, the final conclusion is that, The data suggest the populaton mean is significantly different from 43 ata = 0.01, so there is fficient evidence tr conrlide that -he nonulation.

The prices of a sample of books at University A were obtained by two statistics students. Then the cost of books for the same subjects (at the same level) were obtained for University B. Assume that the distribution of differences is Normal enough to proceed, and assume that the sampling was random. a. First find both sample means and compare them. b. Test the hypothesis that the population means are different, using a significance level of 0.05. E Click the icon to view the table of prices. a. Find the sample mean for University A. (Round to the nearest cent as needed.) Find the sample mean for University B. (Round to the nearest cent as needed.) Compare the sample means. The sample mean is larger at b. Determine the hypotheses for this test. Let Hdifference be the mean of differences between the paired observations. Choose the correct answer below. OB. Ho: Hdifference 0 O E. Ho: Hdifference >0 = 0 Ha: Hdifference =0 Data Table #0 Find the test statistic for this test. %3= = (Round to…