Conducting a Chi-Square Test for Goodness of Fit — Quiz
Question 6 • Statistics
A researcher would like to investigate if the distribution of the number of babies born is uniform across the days of the week. To investigate, the researcher selects a random sample of 350 babies and records on which day of the week they were born. The researcher would like to know if there is convincing evidence that the distribution of births is uniform across the days of the week. What is the name of the appropriate inference procedure?
Answer
A
chi-square test for goodness of fit
B
two-sample z - test for a difference in proportions
C
two-sample t - test for a difference in means
D
one-sample t - test for a difference in means
Explanation
The response variable is categorical: each baby is classified by one of seven days of the week. The researcher is comparing the observed counts in those categories with the counts expected under a uniform distribution, so the appropriate procedure is a chi-square test for goodness of fit. The other choices concern comparing means or proportions between samples, which is not the goal here.
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