)A sample survey interviews an SRS of 267 college women. Suppose(as is roughly true) that 70%...
)A sample survey interviews an SRS of 267 college women. Suppose(as is roughly true) that 70% of all college women have been on a diet within the past 12months.
(a) What are the mean and standard deviation of the sampling distribution of the sample proportion ˆpin random samples of size 267?
(b) Explain why, under these conditions, the sampling distribution of ˆpis approximately normal.
(c) Using the normal approximation, find the probability that 76% or more of the women in the sample have been on a diet.
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)A sample survey interviews an SRS of 267 college women.
Suppose(as is roughly true) that 70%...
3. A sample survey interviews an SRS of 267 college women. Suppose (as is roughly true)...
3. A sample survey interviews an SRS of 267 college women. Suppose (as is roughly true) that 64 % of all college women have been on a diet within the past 12 months. What are the mean and standard deviation of the sampling distribution for samples of 267 women? The mean of the sampling distribution, p = (+ 0.01) The standard deviation of the sampling distribution of p-hat = (+ 0.01) Use a Normal approximation to find the probability that...
6. A sample survey interviews an SRS of 265 college wo men. Suppose as is roughly...
6. A sample survey interviews an SRS of 265 college wo men. Suppose as is roughly true that 68 % of all college women have been on a diet within the past 2 months. What are the mean and standard deviation of the sampling distribution for samples of 265 women? The mean of the sampling distribution, p-+0.01) The standard deviation of the sampling distribution of p-hat- 0.01) Use a Normal approximation to find the probability that 81 % or more...
A sample survey interviews an SRS of 207 college women. Suppose that 68% of all college...
A sample survey interviews an SRS of 207 college women. Suppose that 68% of all college women have been on a diet within the last 12 months. What is the probability that 73% or more of the women in the sample have been on a diet? Use 4 decimal places.
Suppose that 88% of college men and 84% of college women were employed last summer, based on a sample survey that interv...
Suppose that 88% of college men and 84% of college women were employed last summer, based on a sample survey that interviewed SRSs of 400 college men and 400 college women. The two samples were independent. a) What is the approximate distribution of the proportion p̂F of women who worked last summer? What is the approximate distribution of the proportion p̂M of men who worked? b) The survey wants to compare men and women. What is the approximate distribution of...
Suppose that 88% of college men and 84% of college women were employed last summer. A...
Suppose that 88% of college men and 84% of college women were employed last summer. A sample survey interviewed SRSs of 400 college men and 400 college women. The two samples were independent. a) What is the approximate distribution of the proportion pF of women who worked last summer? What is the approximate distribution of the proportion pM of men who worked? b) The survey wants to compare men and women. What is the approximate distribution of the difference in...
3. Suppose that 88% of college men and 84% of college women were employed last summer,...
3. Suppose that 88% of college men and 84% of college women were employed last summer, based on a sample survey that interviewed SRSs of 400 college men and 400 college women. The two samples were independent. a) What is the approximate distribution of the proportion pF of women who worked last summer? What is the approximate distribution of the proportion pM of men who worked? Write your answer in a Text Box. b) The survey wants to compare men...
The proportion of adult women in Latvia is approximately 54%. A marketing survey telephones 400 people...
The proportion of adult women in Latvia is approximately 54%. A marketing survey telephones 400 people at random. a) What is the sampling distribution of the observed pro- portion that are women? b) What is the standard deviation of that proportion? c) Would you be surprised to find 56% women in a sample of size 400? Explain. d) Would you be surprised to find 51% women in a sample of size 400? Explain. e) Would you be surprised to find...
ome he proportion of adult women in the United States is approximately 51%. A marketing survey...
ome he proportion of adult women in the United States is approximately 51%. A marketing survey telephones 300 people at random. (a) (3pts) What is the sampling distribution of the observed proportion that are women? State your answer with the mean and the standard deviation. 30 o (b) (3pts) would you be surprised to find 56% women in a sample of size 300? Explain. (c) (2 pts) What is the probability that more than S0% women in this survey? (d)...
Selecting a random sample is an example of a statistical experiment, and the sample statistic p i...
Selecting a random sample is an example of a statistical experiment, and the sample statistic p is a numerical description of the result of the experiment. Therefore, p is a random variable. The probability distribution of p is called the sampling distribution of p In practice, you select one random sample and use the information from that sample to estimate the population parameter of interest. However statisticians sometimes perform a procedure called repeated sampling, in which the experiment is run...
Suppose we select and SRS of size n=100 from a large population having proporti...continues
Suppose we select and SRS of size n=100 from a large population having proportion p of successes. Let X be the number of successes in the sample. For which value of pwould it be safe to assume the sampling distribution of X is approximately Normal?(a) 0.01(b) 1/9(c) 0.975(d) 0.9999(e) All of these.
3. A sample survey interviews an SRS of 267 college women. Suppose (as is roughly true) that 64 % of all college women have been on a diet within the past 12 months. What are the mean and standard deviation of the sampling distribution for samples of 267 women? The mean of the sampling distribution, p = (+ 0.01) The standard deviation of the sampling distribution of p-hat = (+ 0.01) Use a Normal approximation to find the probability that...
6. A sample survey interviews an SRS of 265 college wo men. Suppose as is roughly true that 68 % of all college women have been on a diet within the past 2 months. What are the mean and standard deviation of the sampling distribution for samples of 265 women? The mean of the sampling distribution, p-+0.01) The standard deviation of the sampling distribution of p-hat- 0.01) Use a Normal approximation to find the probability that 81 % or more...
ome he proportion of adult women in the United States is approximately 51%. A marketing survey telephones 300 people at random. (a) (3pts) What is the sampling distribution of the observed proportion that are women? State your answer with the mean and the standard deviation. 30 o (b) (3pts) would you be surprised to find 56% women in a sample of size 300? Explain. (c) (2 pts) What is the probability that more than S0% women in this survey? (d)...
Selecting a random sample is an example of a statistical experiment, and the sample statistic p is a numerical description of the result of the experiment. Therefore, p is a random variable. The probability distribution of p is called the sampling distribution of p In practice, you select one random sample and use the information from that sample to estimate the population parameter of interest. However statisticians sometimes perform a procedure called repeated sampling, in which the experiment is run...
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