j015
08.04.2020 •
Mathematics
In a recent poll of 760 homeowners in the United States, one in five homeowners reports having a home equity loan that or she is currently paying off. Using a confidence coefficient of 0.9, derive the interval estimate for the proportion of all homeowners in the United States that hold a home equity loan. (Keep three decimal places)
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Ответ:
The 90% confidence interval for the proportion of all homeowners in the United States that hold a home equity loan is (0.176, 0.224)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
90% confidence level
So , z is the value of Z that has a pvalue of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval for the proportion of all homeowners in the United States that hold a home equity loan is (0.176, 0.224)
Ответ: