We wish to estimate what percent of adult residents in a certain county are parents. Out of 100 adult residents sampled, 12 had kids. Based on this, construct a 95% confidence interval for the proportion p of adult residents who are parents in this county. Express your answer in tri-inequality form. Give your answers as decimals, to three places. < p < Express the same answer using the point estimate and margin of error. Give your answers as decimals, to three places. p =_________ ±______
Unitary Method
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We wish to estimate what percent of adult residents in a certain county are parents. Out of 100 adult residents sampled, 12 had kids. Based on this, construct a 95% confidence interval for the proportion p of adult residents who are parents in this county.
Express your answer in tri-inequality form. Give your answers as decimals, to three places.
< p < Express the same answer using the point estimate and margin of error. Give your answers as decimals, to three places.
p =_________ ±______
The point estimate of the population proportion is the sample proportion.
From the given table, 12 out of the 100 adult residents had kids.
The sample proportion is 12/100 = 0.12.
The sample size is 100.
Since the required confidence interval is 95%, the two-tailed z value at 0.05 level of significance is 1.96.
The 95% confidence interval for the population proportion is calculated as follows:
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