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: H 0: 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 isχ 2 = 18.68 and theP-value is between 0.0025 and 0.005. What conclusion should the researcher make? Usea = 0.05. RejectH 0. There is convincing evidence that the distribution of births is not uniform across the days of the week. RejectH 0. There is not convincing evidence that the distribution of births is not uniform across the days of the week. Fail to rejectH 0. There is convincing evidence that the distribution of births is not uniform across the days of the week. Fail to rejectH 0. There is not convincing evidence that the distribution of births is not uniform across the days of the week.

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...

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:

H
₀: 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 isχ
² = 18.68 and theP-value is between 0.0025 and 0.005. What conclusion should the researcher make? Usea = 0.05.

RejectH
₀. There is convincing evidence that the distribution of births is not uniform across the days of the week.

RejectH
₀. There is not convincing evidence that the distribution of births is not uniform across the days of the week.

Fail to rejectH
₀. There is convincing evidence that the distribution of births is not uniform across the days of the week.

Fail to rejectH
₀. There is not convincing evidence that the distribution of births is not uniform across the days of the week.

Jun 07, 2022

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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...

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