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Suppose you want to estimate the proportion of people in your community who would choose Thin Mints as their favorite Girl Scout cookie. Also suppose previous studies have shown this proportion to be around .3.
(a) Determine how many people you would have to sample in order to estimate this proportion to within .025 with 90% confidence.
If your boss says that this number (your answer to part a) is too large to be practical, you might respond that a smaller sample size would suffice if either the margin-of-error (.025) or the confidence level (90%) were changed.
(b) In which direction would the margin-of-error need to change in order for a smaller sample size to suffice?
! Larger margin-of-error
! Smaller margin-of-error
(c) In which direction would the confidence level need to change in order for a smaller sample size to suffice?
! Larger confidence level
! Smaller confidence level
Sample of 1500 voters was taken and the number who are voting yes is recorded. What is the probability that more than 50% of those 1500 vote yes?
As part of a long-term study of individuals 65 years of age or older, sociologists and physicians at the Wentworth Medical Center in upstate New York conducted a study to investigate the relationship between geographic location and depression.
a researcher conducted a study on the effects of stress on migraines. the researcher computed the number of migraines
1.a college basketball player makes 80 of his free throws. at the beginning of a game he misses his first two free
The original requirements of the sample. Explain the trade-offs that will occur when you lower the sample to $10,000 to meet the budget.
A nutritionist wants to estimate the mean amount of cholesterol in a certain variety of chicken eggs. She wants to be within 14 mg. with 99% confidence.
The Spanish patients, two men and two women, were elderly and very ill. All four had undergone routine dialysis at the Hospital de la Princesa.
The random variable xi represents the number of complaints, and p(xi) is the probability of receiving xi complaints.
By law of averages. Bystander suggests him to quit, on ground that his luck is cold. Who is correct? Or are both of them wrong?
What is the value of the sample proportion p who so they are satisfied with the total cost they pay for their health care? Explain in words what the population parameter p is in this setting.
An economic researcher would like to know whether he can reject the null hypothesis at the 0.10 level, that no more than 20% of the households in Pennsylvania make more than $70,000 per year.
Assume that the heights of adult white men have a mean of 67.9 inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find the probability that they have a mean height greater than 68.9 inches.
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