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

Question 10 • Statistics

The chi-square test statistic is chi squared is equal to 18 point 6 8 and the cap p -value is between 0 point 0 0 2 5 and 0 point 0 0 5 What conclusion should the researcher make? Use A is equal to 0 point 0 5

Answer

Reject cap h sub 0 . There is convincing evidence that the distribution of births is not uniform across the days of the week.

Fail to reject cap h sub 0 . There is not convincing evidence that the distribution of births is not uniform across the days of the week.

Fail to reject cap h sub 0 . There is convincing evidence that the distribution of births is not uniform across the days of the week.

Reject cap h sub 0 . There is not convincing evidence that the distribution of births is not uniform across the days of the week.

Explanation

The p-value is between 0.0025 and 0.005, which is less than the significance level α = 0.05. Therefore, reject the null hypothesis that births are uniformly distributed across the days of the week. The result provides convincing evidence that the distribution of births is not uniform, which is choice A.

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