Sampling Distribution Counts

28% of all Suncoast students believe in Santa. You take a sample of 50 students and find that 15 of them believe in Santa. What does 15/50 represent?

• n

• P

• phat

• standard deviation

True of False: The sampling distribution of the sample proportion ˆp describes the distribution of values taken by the sample proportion ˆp in all possible samples of the same size from the same population.

• True

• False

The sampling distribution of pˆ is approximately ______ as long as the Large Counts condition is satisfied: np≥ 10 and n(1−p)≥10.

What is the standard deviation of the distribution?

• 1010

• 20

• 60

• √20

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. 
Calculate the standard deviation of the sampling distribution.  (Check to see if the 10% condition is met first)

• 0.0116

• 0.0117

• 0.0118

• 0.0119

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. 
Is the sampling distribution approximately Normal?  (Check to see if the Large Counts condition is met). 

• Yes.

• No.

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 standard error of the sampling distribution?

• 200

• 16

• 25

• 4

The mean and standard deviation of a population are 200 and 20, respectively. 
What is the probability of selecting 64 data values with a mean between 195 and 200?

• 41%%

• 48%

• 1.5%

• 0.5%

The mean and standard deviation of a population are 200 and 20, respectively. 
What is the probability of selecting 100 data values with a mean greater than 202?

• 45%

• 36%

• 25%

• 16%