AP Statistics Sampling Distributions Proportions

• The approximate sampling distribution would be more variable.

• The approximate sampling distribution would be less variable.

• The approximate sampling distribution would have more dots.

• The approximate sampling distribution would have fewer dots.

• The approximate sampling distribution would be centered at 0.5.

The school board in a certain school district obtained a random sample of 200 residents and asked if they were in favor of raising property taxes to fund the hiring of more teachers. The resulting confidence interval for the population proportion of residents in favor of raising taxes was (0.183, 0.257). Which of the following is the margin of error for this confidence interval?

• 0.037

• 0.074

• 0.183

• 0.220

• 0.257

A state agency wants to survey 1500 registered voters about an upcoming election. The agency randomly selects 50 registered voters from each of the state's 30 senatorial districts. Which type of sample was selected by the state agency?

• Simple Random Sample

• Stratified Random Sample

• Cluster Sample

• Systematic Random Sample

• Convenience Sample

The distribution of the number of cars X parked in a randomly selected residential driveway on any night is given by the discrete probability distribution. What is the expected value of X?

• 1.00

• 1.45

• 1.95

• 2.00

• 2.05

• A

• B

• C

• D

• E

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population

• The Sample

• The Sampling Distribution

The histogram represents data obtained after a census of an entire population. The sampling distribution of the sample mean based on samples of size 2 were simulated, and a histogram of the results was produced. Which of the following histograms is most likely the histogram of that sampling distribution?

• 
• 
• 
• 
• 

A survey of 100 high school students was conducted. Each member of the sample was asked two questions: "Are you in 12th grade?" and "Do you have a driver's license, a learner's permit, or neither?" Overall, 23 members of the sample were in 12th grade. Also, 33 members of the sample had a driver's license and 12 had a permit. Assuming there is no association between grade and driving status in the population of high school students, what is the expected number of 12th graders with a driver's license?

• 7.59

• 15.41

• 25.41

• 56

• Impossible to determine without more information.

The manager of a city recreation center wants to estimate the percent of city residents who favor a proposal to build a new dog park. To gather data, the manager will select a random sample of city residents. Which of the following is the most appropriate interval for the manager to use for such an estimate?

• A two-sample z -interval for a difference between population proportions.

• A one-sample z -interval for a sample proportion.

• A one-sample z -interval for a difference between population proportions.

• A one-sample z -interval for a population proportion.

• A two-sample z -interval for a difference between sample proportions.

A town council wants to estimate the proportion of residents who are in favor of a proposal to upgrade the computers in the town library. A random sample of 100 residents was selected, and 97 of those selected indicated that they were in favor of the proposal. Is it appropriate to assume that the sampling distribution of the sample proportion is approximately normal?

• No, because the sample is not large enough to satisfy the normality conditions.

• No, because the size of the population is not known.

• Yes, because the sample is large enough to satisfy the normality conditions.

• Yes, because the sample was selected at random.

• Yes, because sampling distributions of proportions are modeled with a normal model.