Childhood obesity: A national health survey weighed a sample of 532 boys aged 6-11 and found that 89 of them were overweight. They weighed a sample of 469 girls aged 6-11 and found that 71 of them were overweight. Can you conclude that the proportion of boys who are overweight differs from the proportion of girls who are overweight? Let p₁ denote the proportion of boys who are overweight and let p₂ denote the proportion of girls who are overweight. Use the a = 0.10 level of significance and the critical value method with the table. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion at the a= 0.10 level of significance. Part 1 of 5 (a) State the null and alternate hypotheses. Ho: P₁ = P₂ H₁: P₁ P₂ This hypothesis test is a two-tailed test. Part: 1/5 Part 2 of 5 Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): 0.0.... X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 8PPS
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Childhood obesity: A national health survey weighed a sample of 532 boys aged 6-11 and found that 89 of them were overweight. They weighed a sample of
469 girls aged 6-11 and found that 71 of them were overweight. Can you conclude that the proportion of boys who are overweight differs from the proportion of
girls who are overweight? Let P₁ denote the proportion of boys who are overweight and let p₂ denote the proportion of girls who are overweight. Use the
a = 0.10 level of significance and the critical value method with the table.
(a) State the appropriate null and alternate hypotheses.
(b) Compute the value of the test statistic.
(c) State a conclusion at the a = 0.10 level of significance.
Part 1 of 5
(a) State the null and alternate hypotheses.
Ho: P₁ = P₂
H₁: P₁ P₂
This hypothesis test is a two-tailed ▼test.
Part: 1 / 5
Part 2 of 5
Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas.
Critical value(s):
X
Transcribed Image Text:Childhood obesity: A national health survey weighed a sample of 532 boys aged 6-11 and found that 89 of them were overweight. They weighed a sample of 469 girls aged 6-11 and found that 71 of them were overweight. Can you conclude that the proportion of boys who are overweight differs from the proportion of girls who are overweight? Let P₁ denote the proportion of boys who are overweight and let p₂ denote the proportion of girls who are overweight. Use the a = 0.10 level of significance and the critical value method with the table. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion at the a = 0.10 level of significance. Part 1 of 5 (a) State the null and alternate hypotheses. Ho: P₁ = P₂ H₁: P₁ P₂ This hypothesis test is a two-tailed ▼test. Part: 1 / 5 Part 2 of 5 Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): X
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