Disregard the original answers in the picture Randomly selected birth records we
ID: 2908285 • Letter: D
Question
Disregard the original answers in the picture
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? Sun Mon 61 Tues 61 Wed 59 Sat 45 Day 63 Number of Births Determine the null and alternative hypotheses Ho Births occur with the same frequency on the different days of the week H1- At least one day has a ditterent frequency of births than the other days. Calculate the test statistic, x2 2 5.995 Round to three decimal places as needed) Calculate the P-value P-value 0.4238 (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? ? A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. O B. Reject Ho- There is sufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week O C. Reject Ho. There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. D. Fail to reject Ho. There is insufficient evidence to warrant rejection of the daim 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? XA. Induced or Caesarean-section births are scheduled on weekends whenever possible ? B. Induced or Caesarean-section births are scheduled dunng the week whenever possibleExplanation / Answer
Ans:
Test statistic:
Chi square score=6.706
df=7-1=6
p-value=CHIDIST(6.706,6)=0.3489
Day Observed(fo) Expected(fe) (fo-fe)^2/fe Sun 44 55.43 2.356 Mon 61 55.43 0.560 Tues 61 55.43 0.560 Wed 59 55.43 0.230 Thurs 55 55.43 0.003 Fri 63 55.43 1.034 Sat 45 55.43 1.962 Total 388 388 6.706