Sampling Distributions

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

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. 

• 0.0116
• 0.0117
• 0.0118
• 0.0119

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

What happens to the shape of a sampling distribution of sample proportions as n increases?

• It becomes narrower and bimodal.

• It becomes narrower and more normal.

• It becomes wider and skewed right.

• It becomes wider and more normal.

28% of all Steele 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 is the probability of getting a sample of size 50 that has 15 (15/50 = 0.3) or more students who believe Monday will be a snow day?

• 0.376

• Cannot be determined because the distribution of the sample proportion of samples of size 50 is not normal

• 0.624

• 0.99999

The Gallup Poll asked a random sample of 100 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.

• 0.002

• 0.049

• 0.04

• 0.001

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

What does this symbol represent?

• population proportion
• parameter
• sample proportion
• population sample

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

What does this symbol represent?

• standard error
• standard deviation of the sample proportions
• standard deviation of a parameter
• standard deviation of the population

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4

What does this symbol represent?

• parameter
• sample proportion
• parameter of a population
• population proportion

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

10% of people are left handed. If 800 people are randomly selected, find the likelihood that at least 12% of the sample is left handed.

• 0.0297

• 0.0106

• 0.0409

• 0.0816

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4