Question

In: Statistics and Probability

The percentage of Texans not covered by health care insurance in 2015 was 17% (The Henry...

The percentage of Texans not covered by health care insurance in 2015 was 17% (The Henry J. Kaiser Family Foundation website, December 5, 2015). The Texas Health and Human Services Commission (HHSC) has been charged with conducting a sample survey to obtain more current information.
a. What sample size would you recommend if the HHSC’s goal is to estimate the current proportion of Texans without health care insurance with a margin of error of .03? Use a 95% confidence level.
b. Repeat part (a) using a 99% confidence level.

Solutions

Expert Solution

a)

We know that 95% CI for true proportion is given by:

We want to find 'n' such that

b)

We know that 99% CI for true proportion is given by:

We want to find 'n' such that


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