Conducting a Chi-Square Test for Goodness of Fit — Quiz
Question 2 • Statistics
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). To test this theory, she selects a random sample of 120 babies born this year and determines on which day of the week they were born. She would like to carry out a test of significance to test her claim. What is the name of the appropriate inference procedure?
Answer
A
one-sample t - test for a difference in means
B
two-sample z - test for a difference in proportions
C
two-sample t - test for a difference in means
D
chi-square test for goodness of fit
Explanation
The outcome is categorical: each baby’s birth day falls into one of the seven days of the week. The doctor is comparing the observed counts across those categories with a specific claimed distribution, so the appropriate procedure is a chi-square test for goodness of fit. A test for means or a two-sample test for proportions would not match this setup.
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