Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

11.2.12-T Assigned MediaQuestion Help Randomly selected birth records were obtai

ID: 3321608 • Letter: 1

Question

11.2.12-T Assigned MediaQuestion Help 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 42 Mon 64 Tues 58 Wed 59 Fri 62 Sat 45 Day 62 Number of Births Determine the null and altenative hypotheses. Ho At least two days have adifferent frequency of births than the other days Births occur with all different frequencies on the different days of the week. At least one day has a different frequency of births than the other days. Births occur with the same frequency on the different days of the week.

Explanation / Answer

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Number of Births
Expected: All cells in equal proportion

Hence,

Ho: Births occur with the same frequency on different days of the week.

Ha: Atleast one day has the different frequency of births than the others.

Test statistic = 8.321

p - Value = 0.2155

Conclusion: Option D is correct.

Apperent lower frequencies on Saturday and Sunday can be explained by Option B.

N DF Chi-Square P-value 392 6 8.3214286 0.2155