Answer the following questions:

Q7:

Randomly selected birth records were obtained, and categorized as listed in the table to the right. Use a 0.01 significance level to test the reasonable claim that births occur with equal frequency on the different days of the week. How might the apparent lower frequencies on Saturday and Sunday be explained? Mon Tues Wed Thurs Fri Sat 56 48 Day Sun 62 57 41 55 60 Number of BirthsCalculate the test statistic, x2. x2 = 31 .739' (Round to three decimal places as needed.) Calculate the P-value. P-value = 0.0000' {Round to four decimal places as needed.) 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 signicance 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? Day Sun Mon Tues Wed Thurs Fri Sat 91 Frequency 160 208 229 249 171 211 236 The table below lists the frequency of wins for different post positions in a horse race. A post position of 1 is closest to the inside rail, so that horse has the shortest distance to run. (Because the number of horses varies from year to year, only the rst 10 post positions are included.) Use a 0.05 signicance level to test the claim that the likelihood of winning is the same for the different post positions. Based on the result, should bettors consider the post position of a horse race? Post Position 1 2 3 4 5 10 E Wins 18 14 10 14 13 9 12 4 12 man m'd co Calculate the test statistic, 12. 12 = 14.826' (Round to three decimal places as needed.) Calculate the P-Value. P-value = 0.0958' {Round to four decimal places as needed.) What is the conclusion for this hypothesis test? The table below lists the number of games played in a yearly bestofseven baseball championship series, along with the expected proportions for the number of games played with teams of equal abilities. Use a 0.05 signicance level to test the claim that the actual numbers of games t the distribution indicated by the expected proportions. Games Played 4 5 6 7' % Actual contests 19 22 23 37 . 2 4 5 5 Expected proportion E E E E Calculate the test statistic, X2- x2 = 10.968' (Round to three decimal places as needed.) Calculate the P-value. P-value = 0.0894' (Round to four decimal places as needed.)