The National Association of Home Builders reported that 57 % of young people ages 18-24 wereliving with their parents. Suppose a sample of 100 young people ages 18-24 showed 60 who were living with their parents. Test the claim that the true population proportion of young people ages 18-24 is greater than 57%. Use a 0.10 level of significance.

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Asked Nov 5, 2019
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The National Association of Home Builders reported that 57 % of young people ages 18-24 wereliving with their parents. Suppose a sample of 100 young people ages 18-24 showed 60 who were living with their parents. Test the claim that the true population proportion of young people ages 18-24 is greater than 57%. Use a 0.10 level of significance. 

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Expert Answer

Step 1

According to the provided information, 57% (p) of young people ages 18-24 were living with their parents. A sample of 100 young people ages 18-24 showed 60 who were living with their parents. Then;

60
=0.60
100
(Sample Proportion
(Hypothesized Proportion)
p = 0.57
a 0.10
(From Standard Normal Table)
=1.28
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60 =0.60 100 (Sample Proportion (Hypothesized Proportion) p = 0.57 a 0.10 (From Standard Normal Table) =1.28

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Step 2

The hypothesis can b...

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