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. Category A B C D E Observed Expected Frequency Frequency 18.0 20 22 12 22 14 O 18.0 08 18.0 OF 18.0 08 18.0 08 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.=

A police department released the numbers of calls for the different days of the week during the month of​ October, as shown in the table to the right. Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this​ analysis?   a. Calculate the test​ statistic, chi squared .chi squared equals ​(Round to three decimal places as​ needed.)   b. Calculate the​ P-value. ​P-valueequals ​(Round to four decimal places as​ needed.)

A random sample of 15 college students were asked "How many hours per week typically do you work outside the home?" Their responses are shown on the right. 13 30 4 Determine the shape of the distribution of hours worked by drawing a frequency histogram and computing the mean and median. Which measure of central tendency better describes hours worked? 13 6. 17 19 23 18 18 21 27 24 9 25 ..... Choose the correct frequency histogram below. OA. O B. C. Hours Worked Hours Worked Hours Worked per Week per Week per Week 10 20 30 10 20 30 10 20 30 hours hours hours Is the histogram for the data set skewed right, skewed left, or symmetric? skewed right skewed left O symmetric The mean number of hours worked by college students outside the home is approximately hours. (Type an integer or decimal rounded to three decimal places as needed.) The median number of hours worked by college students outside the home is hours. Which measure of central tendency better describes hours worked? median mode…

The mean # of hours worked