Answered: Randomly selected birth records were…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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?

Day Number_of_Births
Sun 40
Mon 57
Tues 55
Wed 62
Thurs 59
Fri 65
Sat 39

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

At least one day has a different frequency of births than the other days.

Calculate the test statistic, χ2.

(Round to three decimal places as needed.)

Calculate the P-value.

(Round to four decimal places as needed.)

Fail to reject H0. There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.

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