Question

In a​ poll, 69​% of the people polled answered yes to the question​ "Are you in...

In a​ poll, 69​% 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 5​%, and the estimate was made with 94​% confidence. At least how many people were​ surveyed?

Homework Answers

Answer #1

solution:

= 69%=0.69

1 - = 1 - 0.69 = 0.31

margin of error = E = 5% = 0.05

At 94% confidence level the z is ,

= 1 - 94% = 1 - 0.94 = 0.06

/ 2 = 0.06 / 2 = 0.03

Z/2 = Z0.03 = 1.881

Sample size = n = (Z/2 / E)2 * * (1 - )

= (1.881 / 0.05)2 * 0.69 * 0.31

= 302.7250 = 303

Sample size = 303

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In a​ poll, 69​% of the people polled answered yes to the question​ "Are you in...
In a​ poll, 69​% 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 5​%, and the estimate was made with 96​% confidence. At least how many people were​ surveyed? The minimum number of surveyed people was___
In a​ poll, 51​% of the people polled answered yes to the question​ "Are you in...
In a​ poll, 51​% 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 2​%, and the estimate was made with 96​% confidence. At least how many people were​ surveyed?
in a​ poll, 51​% of the people polled answered yes to the question​ "Are you in...
in a​ poll, 51​% 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 5​%, and the estimate was made with 95​% confidence. At least how many people were​ surveyed? The minimum number of surveyed people was? (Round to the nearest integer)
In a​ poll, 37​% of the people polled answered yes to the question​ "Are you in...
In a​ poll, 37​% 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 3​%, and the estimate was made with 95​% confidence. At least how many people were​ surveyed? The minimum number of surveyed people was nothing . ​(Round up to the nearest​ integer.)
in a poll 69% all of the people pulled answered yes to the question are you...
in a poll 69% all of the people pulled 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 5% and the estimate was made with 96% confidence how many people were surveyed
2. A researcher wishes to estimate the percentage of adults who support abolishing the penny. What...
2. A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 2 percentage points with 90​% confidence if ​ (a) he uses a previous estimate of 22​%? ​(b) he does not use any prior​ estimates? 3. In a​ poll, 37​% of the people polled answered yes to the question​ "Are you in favor of the death penalty for a person convicted of​...
A research poll showed that 1281 out of 2019 randomly polled people in a country favor...
A research poll showed that 1281 out of 2019 randomly polled people in a country favor the death penalty for this convicted of murder. Assuming the conditions for the CLT were​ met, complete parts​ (a) and​ (b) below. Sample X N Sample p ​95% CI 1 1281 2019 0.634473 ​(0.613466​, 0.655479​) a. Using the technology output​ given, write out the following sentence. I am​ 95% confident that the population proportion favoring the death penalty is between nothing and nothing. ​(Round...
A survey asked whether respondents favored or opposed the death penalty for people convicted of murder....
A survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the results​ below, where X refers to the number of the respondents who were in favor. Construct the​ 95% confidence interval for the proportion of the adults who were opposed to the death penalty from the confidence interval stated below for the proportion in favor. x- 1767 n- 2617 sample p- .6752 95.0% CI- (.657, .693)
In favor Not in favor Not sure Total Northeast 168 129 30 327 Midwest 169 184...
In favor Not in favor Not sure Total Northeast 168 129 30 327 Midwest 169 184 20 373 South 172 123 10 305 West 180 119 50 349 Total 689 555 110 1354 1. What is the probability that a person surveyed lived in the south? 2. How many people were surveyed? 3. What is the probability that a person surveyed was from the northeast or midwest? 4. Given that the person is from the midwest, what is the probability...
In an opinion poll involving n = 100 college students, 58 answered "YES" and the remaining...
In an opinion poll involving n = 100 college students, 58 answered "YES" and the remaining said "NO". Let p denote the proportion of people in the entire voting population that are "NO" responding individuals. (a). Construct a 99% confidence interval for p. (b). In a 95% confidence interval, what should the sample size n be to keep the margin of error within 0.1?