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, he selects a random sample of 350 babies and records on which day of the week they were born. He finds that 28 babies were born on Sundays, 65 on Mondays, 48 on Tuesdays, 56 on Wednesdays, 45 on Thursdays, 62 on Fridays, and 46 on Saturdays. He tests the following hypotheses:H0: The distribution of births is uniform across the days of the week.Ha: The distribution of births is not uniform across the days of the week.The chi-square test statistic is χ2 = 18.68 and the P-value is between 0.0025 and 0.005. What conclusion should the researcher make? Use a = 0.05.Reject H0. There is convincing evidence that the distribution of births is not uniform across the days of the week.Reject H0. There is not convincing evidence that the distribution of births is not uniform across the days of the week.Fail to reject H0. There is convincing evidence that the distribution of births is not uniform across the days of the week.Fail to reject H0. There is not convincing evidence that the distribution of births is not uniform across the days of the week.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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, he selects a random sample of 350 babies and records on which day of the week they were born. He finds that 28 babies were born on Sundays, 65 on Mondays, 48 on Tuesdays, 56 on Wednesdays, 45 on Thursdays, 62 on Fridays, and 46 on Saturdays. He tests the following hypotheses:

H₀: The distribution of births is uniform across the days of the week.

H_a: The distribution of births is not uniform across the days of the week.

The chi-square test statistic is χ² = 18.68 and the P-value is between 0.0025 and 0.005. What conclusion should the researcher make? Use a = 0.05.

Reject H₀. There is convincing evidence that the distribution of births is not uniform across the days of the week.

Reject H₀. There is not convincing evidence that the distribution of births is not uniform across the days of the week.

Fail to reject H₀. There is convincing evidence that the distribution of births is not uniform across the days of the week.

Fail to reject H₀. There is not convincing evidence that the distribution of births is not uniform across the days of the week.

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