Question

When 534 subjects were asked, "Do you believe in heaven?" the proportion who answered yes was 0.72. The standard deviation of this point estimate is 0.02.

a. Find and interpret the margin of error for a 95% confidence interval for the population proportion of people who believe in heaven.

b. Construct the 95% confidence interval. Interpret it in context.

Answer 1

given data are:-

sample size (n) = 534

sample proportion () =0.72

standard deviation of this point estimate = 0.02.

a).z critical value for 95% confidence level, both tailed test be:-

the margin of error for a 95% confidence interval for the population proportion of people who believe in heaven is :-

interpretation:-

With 95% confidence, it can be stated that the population proportion is no more than one margin of error lower or one margin of error higher than the reported sample proportion.

b).the 95% confidence interval is:-

interpretation:-

we are 95% confident that the population proportion of people who believe in heaven will lie within the interval.

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