AnswersStatisticsConducting a Chi-Square Test for Goodness of Fit — QuizQuestion 3
3
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Conducting a Chi-Square Test for Goodness of Fit — Quiz

Question 3 • 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. Are the conditions for inference met?

Answer
A
No, the Large Counts condition is not met.
B
Yes, all of the conditions for inference are met.
C
No, the random condition is not met.
D
No, the 10 percent condition is not met.

Explanation

For a uniform distribution across 7 days, the expected count is 350 ÷ 7 = 50 births per day, which is at least 5, so the Large Counts condition is met. The sample was randomly selected, and 350 babies is less than 10% of the population of births, so the random and 10 percent conditions are also met. Therefore, all conditions for inference are met.

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