Question

The manager of a magazine wants to estimate the percent of magazine subscribers who approve of a new cover format. To gather data, the manager will select a random sample of subscribers. Which of the following is the most appropriate interval for the manager to use for such an estimate?

a) A two-sample z-interval for a difference between sample proportions
b) A two-sample z-interval for a difference between population proportions
c) A one-sample z-interval for a sample proportion
d) A one-sample z-interval for a population proportion
e) A one-sample z-interval for a difference between population proportions

Answer 1

A two-sample z -interval for a difference in population proportions

Step-by-step explanation:

A two-sample z-interval is appropriate for estimating the difference between two population proportions.

Answer 2

Answer: d) A one-sample z-interval for a population proportion

Step-by-step explanation:

For the scenario described above, since only a single sample pool is required from a single population, then ; The one sample Z interval for a population proportion is required ;

The interval may be calculated using the relation :

Z = (p - p0) / √[(p0(1 - p0)) / n]

p = observed proportion ;

p0 = mean or hypothesized value

n = sample size