A doctor used to believe that babies were equally likely to be born any day of the week, but with the rise in scheduled deliveries, the doctor now claims that babies are twice as likely to be born on a weekday (Monday through Friday) than on a weekend (Saturday and Sunday). She decides to test:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A doctor used to believe that babies were equally likely to be born any day of the week, but with the rise in scheduled deliveries, the doctor now claims that babies are twice as likely to be born on a weekday (Monday through Friday) than on a weekend (Saturday and Sunday). She decides to test:

 

Ha: Not all of the pi’s are as stated.

She selects a random sample of 120 babies born this year and determines on which day of the week they were born. She finds that 4 were born on Sunday, 24 on Monday, 21 on Tuesday, 18 on Wednesday, 22 on Thursday, 28 on Friday, and 3 on Saturday. The chi-square test statistic for goodness of fit is χ2 = 12.95 and the P-value is between 0.025 and 0.05. What conclusion should she make? Use a = 0.05.

Reject H0. There is convincing evidence that babies are twice as likely to be born on a weekday (Monday through Friday) than on a weekend (Saturday and Sunday).
Reject H0. There is convincing evidence that babies are not twice as likely to be born on a weekday (Monday through Friday) than on a weekend (Saturday and Sunday).
Fail to reject H0. There is convincing evidence that babies are twice as likely to be born on a weekday (Monday through Friday) than on a weekend (Saturday and Sunday).
Fail to reject H0. There is convincing evidence that babies are not twice as likely to be born on a weekday (Monday through Friday) than on a weekend (Saturday and Sunday).
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