A national health survey weighed a sample of 260 boys aged 6-11 and found that 45 of them were overweight. They weighed a sample of 230 girls aged 6-11 and found that 30 of them were overweight. Can you conclude that the proportion of overweight kids aged 6-11 among boys is the same as the proportion of overweight kids aged 6-11 among girls? Use level of significance 10%. Procedure: Two proportions Z Hypothesis Test Assumptions: (select everything that applies) Sample sizes are both greater than 30 Paired samples ✔Simple random samples OF Population standard deviation are unknown but assumed equal ✔Independent samples Normal populations Population standard deviations are known ✔The number of positive and negative responses are both greater than 10 for both samples Population standard deviation are unknown Step 1. Hypotheses Set-Up: Ho: P.-P₂ Ha P₁-P₂ = 30 X Step 2. The significance level a = 10 0 % where p's are o the difference between population means units are people , and the test is Two-Tail Part 2 of 5 X and the

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A national health survey weighed a sample of 260 boys aged 6-11 and found that 45 of them were overweight.
They weighed a sample of 230 girls aged 6-11 and found that 30 of them were overweight. Can you conclude
that the proportion of overweight kids aged 6-11 among boys is the same as the proportion of overweight kids
aged 6-11 among girls? Use level of significance 10%.
Procedure: Two proportions Z Hypothesis Test
Assumptions: (select everything that applies)
Sample sizes are both greater than 30
Paired samples
Simple random samples
Population standard deviation are unknown but assumed equal
Independent samples
Normal populations
Population standard deviations are known
The number of positive and negative responses are both greater than 10 for both samples
Population standard deviation are unknown
Step 1. Hypotheses Set-Up:
Ho: P₁-P₂
Ha P₁-P₂
#v
30 X
Step 2. The significance level a = 10 ✓ 0 %
where p's are
difference between population means
units are people
X
and the test is Two-Tail
the
Part 2 of 5
X and the
Transcribed Image Text:A national health survey weighed a sample of 260 boys aged 6-11 and found that 45 of them were overweight. They weighed a sample of 230 girls aged 6-11 and found that 30 of them were overweight. Can you conclude that the proportion of overweight kids aged 6-11 among boys is the same as the proportion of overweight kids aged 6-11 among girls? Use level of significance 10%. Procedure: Two proportions Z Hypothesis Test Assumptions: (select everything that applies) Sample sizes are both greater than 30 Paired samples Simple random samples Population standard deviation are unknown but assumed equal Independent samples Normal populations Population standard deviations are known The number of positive and negative responses are both greater than 10 for both samples Population standard deviation are unknown Step 1. Hypotheses Set-Up: Ho: P₁-P₂ Ha P₁-P₂ #v 30 X Step 2. The significance level a = 10 ✓ 0 % where p's are difference between population means units are people X and the test is Two-Tail the Part 2 of 5 X and the
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