Question

Suppose that 70% of men and 30% of women in a state support the incumbent candidate...

Suppose that 70% of men and 30% of women in a state support the incumbent candidate for the governor. Assume that the numbers of men and women in the state are equal.

(a) Suppose 500 people are surveyed at random, and ^p1 is the proportion of people surveyed who say they support the incumbent. What is the variance of ^p1?

(b) Suppose that 250 men and 250 women are surveyed at random, and ^p2 is the proportion of people surveyed who say they support the incumbent. What is the variance of ^p2?

(c) Calculate the relative efficiency of ^p2 with respect to ^p1

Before you answer the question, please tell me that what the difference is between question (a) and (b) because the sample size is same 500 and i have no idea why in part(b) we need to use 250 for our sample size for woman and 250 sample size for men.

Please explain the logics behind it why it will make the variance different

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Only for expert Suppose that 70% of men and 30% of women in a state support...
Only for expert Suppose that 70% of men and 30% of women in a state support the incumbent candidate for the governor. Assume that the numbers of men and women in the state are equal. (a) Suppose 500 people are surveyed at random, and ^p1 is the proportion of people surveyed who say they support the incumbent. What is the variance of ^p1? (b) Suppose that 250 men and 250 women are surveyed at random, and ^p2 is the proportion...
2. Candidates for political office realize that different levels of support among men and women may...
2. Candidates for political office realize that different levels of support among men and women may be a crucial factor in determining the outcome of an election. One candidate finds that 52% of 473 men polled say they will vote for him, but only 45% of the 522 women in the poll express support. Find a 95% confidence interval for the difference in proportions of males and females who will vote for this candidate. Interpret your interval (i.e., put in...
A study was done to investigate what people think is "creepy." Each person in a sample...
A study was done to investigate what people think is "creepy." Each person in a sample of women and a sample of men were asked to do the following. Imagine a close friend of yours whose judgment you trust. Now imagine that this friend tells you that she or he just met someone for the first time and tells you that the person was creepy. The people in the samples were then asked whether they thought the creepy person was...
1/ A physical therapist wants to determine the difference in the proportion of men and women...
1/ A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if she wishes the estimate to be within five percentage points with 95​% confidence, assuming that ​(a)she uses the estimates of 21.8​% male and 18.3​% female from a previous​ year? n = (Round up to the nearest whole​ number.) ​(b) she does not use any prior​ estimates? 2/ A survey​ asked,...
1. In state A, 23% of the people drink coffee. In state B, 37% of the...
1. In state A, 23% of the people drink coffee. In state B, 37% of the people drink coffee. We take a random sample of 50 from state A, and 60 from state B, and find the sample proportions spA and spB (spA is the sample proportion of those who drink coffee from state A, which in the notation of the textbook would be p1) What is the mean of spA - spB? (write it as a decimal fraction, not...
Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states...
Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states that the drug is more effective for women than for men. We want to collect data to show that the new drug is more effective for men. Let p1=proportion of all men who catch a cold , after taking the new drug p2=proportion of all women who catch a cold, after taking the new drug The null hypothesis states Ho: p1-p2=0 (or p1=p2, equivalently)...
In a survey of 500 likely voters, 271 responded that they would vote for the incumbent...
In a survey of 500 likely voters, 271 responded that they would vote for the incumbent and 229 responded that they would vote for the challenger. Let pp denote the fraction of all likely voters who preferred the incumbent at the time of the survey, and let p̂ p^ be the fraction of survey respondents who preferred the incumbent. a. Use the survey results to estimate pp. b. Test the hypothesis H0:p=0.5 vs. Ha:p≠0.5H0:p=0.5 vs. Ha:p≠0.5 at the 5% significance...
A report summarizes a survey of people in two independent random samples. One sample consisted of...
A report summarizes a survey of people in two independent random samples. One sample consisted of 800 young adults (age 19 to 35), and the other sample consisted of 300 parents of young adults age 19 to 35. The young adults were presented with a variety of situations (such as getting married or buying a house) and were asked if they thought that their parents were likely to provide financial support in that situation. The parents of young adults were...
A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 713 women...
A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 713 women and 613 men were independently and randomly selected, and that 338 women and 244 men chose the state of the economy as their biggest concern. Can we conclude that the proportion of women ( p1 ), choosing the state of the economy as their biggest concern, exceeds the proportion of men ( p2 )?  Use a significance level of α=0.1 for the test. Step 1...
A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 713 women...
A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 713 women and 613 men were independently and randomly selected, and that 338 women and 244 men chose the state of the economy as their biggest concern. Can we conclude that the proportion of women ( p1 ), choosing the state of the economy as their biggest concern, exceeds the proportion of men ( p2 )?  Use a significance level of α=0.1 for the test. Step 1...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT