(Hypothetical) In a major national survey of crime victimization, the researchers found that 17.0% of Americans...

(Hypothetical) In a major national survey of crime victimization, the researchers found that 17.0% of Americans age 12 or older had been a victim of crime. The size of the sample was 6,4,00.

a) Estimate the percentage of Americans age 12 or older who were victims at the 95% confidence level. Write a sentence explaining the meaning of this confidence interval.

b) Estimate the percentage of victims at the 99% confidence level. Write a sentence explaining the meaning of this confidence interval.

Imagine that the Sample size was cut in half to 3,200, but the survey found the same value of 17.0% for the percentage of victims.

c) Would the 95% confidence interval increase or decrease? By how much?

d) Would the 99% confidence interval increase or decrease? By how much?

Solutions

Expert Solution

Therefore, based on the data provided, the 95% confidence interval for the population proportion is 0.161<p<0.179, which indicates that we are 95% confident that the true population proportion p is contained by the interval (0.161, 0.179).

the 95% confidence interval width increase and Increased by 0.008.

d) the 99% confidence interval width increases and increased by 0.01

milcah answered 10 months ago

Next > < Previous

Related Solutions

In the healthy handwashing survey, it was found the 64% of adult Americans operate the flusher...

In the healthy handwashing survey, it was found the 64% of adult Americans operate the flusher of toilets in public restrooms with their foot. Suppose you survey a random sample of 740 adult American women aged 18-24 years. Use normal approximation to the binomial to approximate the probability of following. a) check the conditions for normal distribution approximation c)determine probability of exactly 500 of those surveyed flush toilets in public restrooms with their foot. d) determine probability of no more...

A survey of 100 Americans found that 68% said they find it hard to buy holiday...

A survey of 100 Americans found that 68% said they find it hard to buy holiday gifts that convey their tr ue feelings. Find the 90% confidence interval of the population proportion.

An article summarized results from a national survey of 2302 Americans age 8 to 18. The...

An article summarized results from a national survey of 2302 Americans age 8 to 18. The sample was selected in a way that was expected to result in a sample representative of Americans in this age group. a) Of those surveyed, 1126 reported owning a cell phone. Use this information to construct a 90% confidence interval estimate of the proportion of all Americans age 8 to 18 who own a cell phone. (Round your answers to three decimal places.) (___________...

An article summarized results from a national survey of 2302 Americans age 8 to 18. The...

An article summarized results from a national survey of 2302 Americans age 8 to 18. The sample was selected in a way that was expected to result in a sample representative of Americans in this age group. (a) Of those surveyed, 1223 reported owning a cell phone. Use this information to construct a 90% confidence interval estimate of the proportion of all Americans age 8 to 18 who own a cell phone. (Round your answers to three decimal places.) (b)...

An article summarized results from a national survey of 2302 Americans age 8 to 18. The...

An article summarized results from a national survey of 2302 Americans age 8 to 18. The sample was selected in a way that was expected to result in a sample representative of Americans in this age group. (a) Of those surveyed, 1221 reported owning a cell phone. Use this information to construct a 90% confidence interval estimate of the proportion of all Americans age 8 to 18 who own a cell phone. (Round your answers to three decimal places.) (b)...

A survey found that Americans generate an average of 16 pounds of glass garbage each year....

A survey found that Americans generate an average of 16 pounds of glass garbage each year. Assume the standard deviation of the distribution is 3.4 pounds. Find the probability that the mean of a sample of 64 families will be between 14.6 and 17.8 pounds.

A survey found that Americans generate an average of 16 pounds of glass garbage each year....

A survey was taken of randomly selected Americans, age 65 and older, which found that 420...

A survey was taken of randomly selected Americans, age 65 and older, which found that 420 of 1012 men and 531 of 1061 women suffered from some form of arthritis. a) Let p1 be the sample proportion of senior women suffering from some form of arthritis, and let p2 be the sample proportion of senior men suffering from some form of arthritis. Create a 95% confidence interval for the difference in the proportions of senior men and women who have...

A survey was taken of randomly selected Americans, age 65 and older, which found that 409...

A survey was taken of randomly selected Americans, age 65 and older, which found that 409 of 1001 men and 537 of 1064 women suffered from some form of arthritis. a) Are the assumptions and conditions necessary for inference satisfied? Why? b) Create a 95% confidence interval for the difference in the proportions of senior men and women who have this disease. c) What is the proportion of American men and women age 65 and older who suffer from arthritis...

A survey of 2500 adult Americans found that 550 have donated blood in the past two...

A survey of 2500 adult Americans found that 550 have donated blood in the past two years. a) Obtain a point estimate for the population proportion of adult Americans who have donated blood in the past two years. b) Verify that the requirements for constructing a confidence interval has been satisfied. c) Construct a 90% confidence interval for the population proportion of adult Americans who have donated blood in the past two years.

Subjects