In a poll, 74% of the people polled answered yes to the question "are you in favor of the death penalty for a person convicted of murder? " the margin of error in the poll was 4%, and the estimate was made with 90% confidence.

how many people were surveyed?

how do you step by step solve this with a ti-84 calculator? what function can you use?

324

Step-by-step explanation:

given that in a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?"

i.e. Sample proportion

Margin of error = 4% = 0.04

Confidence level =90%

Z critical value for 90% = 1.645

Margin of error = 1.645 * std error

Hence std error =

Std error is also equal to

Sample size should be 324.

The formula is sample size = (Z critical value)^2 (pq)/(Margin of error )^2

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490