AP Statistics Sampling

The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week.  Let p-hat be the proportion of people in the sample who attended church.  A newspaper report claims that 40% of all U.S. adults went to church last week.  Suppose this claim is true. 
What is the mean of the sampling distribution of p-hat?

• 0.4
• 0.44
• 0.56
• 0.6

28% of all Woodrow students believe Monday will be snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. What does 50 represent? 

• n
• P
• phat
• standard deviation

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

• The Population
• The Sample
• The Sampling Distribution

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

• The Population
• The Sample
• The Sampling Distribution

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. 
What is the mean of the sampling distribution?

• 200
• 16
• 25
• 4

A study of voting chose 663 registered voters at random shortly after an election. Of these, 72% said they had voted in the election. Election records show that only 56% of registered voters voted in the election. Which of the following statements is true about these percentages?

• 72% and 56% are both statistics

• 72% is a statistic and 56% is a parameter

• 72% is a parameter and 56% is a statistic

• 72% and 56% are both parameters

Vermont is particularly beautiful in early October when the leaves begin to change color. In October, a large proportion of cars on Interstate 91 near Brattleboro have out-of-state license plates. Suppose we randomly select 50 cars driving past Exit 2 on I-91, and calculate the proportion of cars with out-of-state plates. Which of the following describes the sampling distribution of the sample proportion in this context?

• The distribution of state for all cars in the sample of cars passing this exit

• The distribution of state for all cars passing this exit

• The distribution of the proportion of cars with out-of-state plates in all possible samples of 50 cars passing this exit

• The distribution of the proportion of cars with out-of-state plates in the sample of 50 cars passing this exit

The student newspaper at a large university asks an SRS of 250 undergraduates, "Do you favor eliminating the carnival from the end-of-term celebration?" In the sample, 150 of the 250 undergraduates are in favor. Suppose that 55% of all undergraduates favor eliminating the carnival. If you took a very large number of SRSs of size n = 250 from the population, the sampling distribution of the sample proportion p̂ would have which of the following characteristics?

• Mean 0.55, standard deviation 0.03, shape unknown

• Mean 0.55, standard deviation 0.03, approximately normal

• Mean 0.60, standard deviation 0.03, shape unknown

• Mean 0.60, standard deviation 0.03, approximately normal

Parameter is the numerical characteristic of _____________.

• Sample

• Population

• Standard Deviation

• Variance

It is the numerical characteristic of a sample.

• Mean

• Variance

• Parameter

• Statistic