A survey of 542 consumers reveals that 301 favor the new design for a product. Construct a 90% confidence interval for the true proportion of all consumers who favor the design.

The choices are:

0.518 < p < 0.593

0.522 < p < 0.588

0.500 < p < 0.610

0.514 < p < 0.597

0.520 < p < 0.591

0.520 < p < 0.591

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 .

For this problem, we have that:

90% confidence level

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

The lower limit of this interval is:

The upper limit of this interval is:

So the correct answer is:

0.520 < p < 0.591

so what is the question

step-by-step explanation:

depends on how many days you are talking about

step-by-step explanation: