In a random sample of 810 women employees, it is found that 81 would prefer working for a female boss. The width of the 95% confidence interval for the proportion of women who prefer a female boss is
A) ± .0288
B) ± .0105
C) ± .0196
D) ± .0207

D) ± .0207

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

The width of the interval is given by the following formula:

In a random sample of 810 women employees, it is found that 81 would prefer working for a female boss.

This means that

95% confidence level

So , z is the value of Z that has a pvalue of , so .

The width of the 95% confidence interval for the proportion of women who prefer a female boss is

So the correct answer is:

D) ± .0207

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