11) A national health survey weighed a sample of 531 boys aged 6-11 and found that 86 of them were overweight. They weighed a sample of 544 girls aged 6-11 and found that 65 of them were overweight. Can you conclude that the proportion of boys who are overweight differs from the proportion of girls who are overweight? Use the 0.05 level of significance and the P-value method. (a) State the appropriate null and alternate hypotheses. (b) Compute the P-value. (c) Determine whether to reject Null Hypothesis. d) State a conclusion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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11) A national health survey weighed a sample of 531 boys aged 6-11 and found that 86 of them
were overweight. They weighed a sample of 544 girls aged 6-11and found that 65 of them were
overweight. Can you conclude that the proportion of boys who are overweight differs from the
proportion of girls who are overweight? Use the 0.05 level of significance and the P-value
method.
(a) State the appropriate null and alternate hypotheses.
(b) Compute the P-value.
(c) Determine whether to reject Null Hypothesis.
d) State a conclusion.
12
Transcribed Image Text:11) A national health survey weighed a sample of 531 boys aged 6-11 and found that 86 of them were overweight. They weighed a sample of 544 girls aged 6-11and found that 65 of them were overweight. Can you conclude that the proportion of boys who are overweight differs from the proportion of girls who are overweight? Use the 0.05 level of significance and the P-value method. (a) State the appropriate null and alternate hypotheses. (b) Compute the P-value. (c) Determine whether to reject Null Hypothesis. d) State a conclusion. 12
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