We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adult residents sampled, 192 had kids. Based on this, plot a confidence interval for the proportion of adult residents who are parents in a given county.
Express your answer in the form of three inequalities. Provide your responses in decimal fractions up to three places Express the same answer using a point estimate and a margin of error. Provide your responses as decimals, to three places.
Given that the sample size
Let p denotes the proportion of adult residents who are parents in the country.
Thus, the value of p is given by
From the standard normal table, the Z value at
Substitute the known values in the formula
The confidence interval is given by
Here, we have
Hence, the confidence interval in tri-inequality form is
The confidence interval suing point estimate 0.32 and margin of error
Answer is given below (on video)
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