A researcher wishes to estimate, with % confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within % of the population proportion.

The minimum sample size required is 1068.

Step-by-step explanation:

The complete question is:

A researcher wishes to estimate, with 95%  confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 3%  of the population proportion.

No preliminary estimate is available. Find the minimum sample size needed.

Solution:

The (1 - α)% confidence interval for the population proportion is:

The margin of error for this interval is:

The information provided is:

Assume that the sample proportion is 50%.

The critical value of z is, 1.96.

Compute the minimum sample size required as follows:

Thus, the minimum sample size required is 1068.

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: