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?

Before you answer the question, please tell me that what the difference is between question (a) and (b) because the sample size is still 500 so i am confused even though we know 250 men and 250 women.

please follow the comment

Solutions

Expert Solution

Answer :

Here the difference between both (a) and (b) is sample size may be same for both questions but the male(70%) and female (30%) varies here both male and female samples given n₁ = 250 and n₂ = 250

so considering the samples separately 250 for men and another 250 for women so we are not adding here taking separately as n₁ = 250 and n₂ = 250

orchestra answered 1 year ago

Next > < Previous

Related Solutions

a. According to a study conducted for Gateway Computers, 60% of men and 70% of women...

a. According to a study conducted for Gateway Computers, 60% of men and 70% of women say that weight is an extremely/very important factor in purchasing a laptop computer. Suppose this survey was conducted using 374 men and 481 women. Do these data show enough evidence to declare that a significantly higher proportion of women than men believe that weight is an extremely/very important factor in purchasing a laptop computer? Use a 5% level of significance. b. Use these data...

A survey on a sample of 30 men and 30 women compare the average time they...

A survey on a sample of 30 men and 30 women compare the average time they spend on their phones per day. Data: Men Women 1 5 2 3 6 3 4 5 2 8 0.5 2 4 16 3 15 4 4 4 3 6 8 5 7 3.5 9 6 8 4 4 3 7 7 8 6 8 5 6.5 3 9 4 6 3 4 8 6 6 8 6 9 5 7 7 8 4...

A local TV station claims that 60% of people support candidates A, 30% support candidate B,...

A local TV station claims that 60% of people support candidates A, 30% support candidate B, and 10% support candidate C. A survey of 500 registered voters is taken. The accompanying table indicates how they are likely to vote. Candidate A Candidate B Candidate C 350 125 25 Specify the competing hypotheses to test whether the TV station's claim can be rejected by the data. Test the hypothesis a the 1% significance level. Conclusion? Your opinion supported the above questions

According to a study conducted for Gateway Computers, 59% of men and 70% of women say...

According to a study conducted for Gateway Computers, 59% of men and 70% of women say that weight is an extremely/very important factor in purchasing a laptop computer. Suppose this survey was conducted using 374 men and 481 women. Do these data show enough evidence to declare that a significantly higher proportion of women than men believe that weight is an extremely/very important factor in purchasing a laptop computer? Use alpha= 0.05. Write the correct R commands for solving this...

Suppose that 60% of registered voters support candidate A. A pollster will obtain a random sample...

Suppose that 60% of registered voters support candidate A. A pollster will obtain a random sample of 200 registered voters. What is the probability that at least 126 of the individuals in the sample support A? Do not employ a continuity correction. 0.8078 0.2447 0.1922 0.0749 0.5956

Suppose that the mean height for women at a large company is assumed to be 70...

Suppose that the mean height for women at a large company is assumed to be 70 inches with a standard deviation of 3 inches. If the women are placed randomly into classes of 36 each, what will be the standard deviation of the class means for height (i.e. the standard error of the mean)? Using your answer to part (a), what is the z score for a class whose average height is 67.2 inches? What is the two-tailed p-value for...

One hundred men and 100 women were asked to try a new toothpaste and to state...

One hundred men and 100 women were asked to try a new toothpaste and to state whether they liked or did not like the new taste thirty-two and 26 women said they did not like the new taste does this indicate a difference in preferences between men and women in general?

Men and women in economic difference. ( Men and women in economics have different opinion) what...

Men and women in economic difference. ( Men and women in economics have different opinion) what it might mean for the future? What are the economic issues?

Statistics grades: In a statistics class of 47 students, there were 17 men and 30 women....

Statistics grades: In a statistics class of 47 students, there were 17 men and 30 women. Three of the men and four of the women received an A in the course. A student is chosen at random from the class. (a) Find the probability that the student is a woman. (b) Find the probability that the student received an A. (c) Find the probability that the student is a woman or received an A. (d) Find the probability that the...

Suppose that four women and two men enter a restaurant and sit at random around a...

Suppose that four women and two men enter a restaurant and sit at random around a table that has four chairs on one side and another four on the other side. What is the probability that the men are not all sitting on one side?

Subjects