Chapter 11 AP Statistics

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

Which best describes the sampling distribution shown below.

• Unbiased Estimator

• Biased Estimator

Would it be unusual to get a sample proportion of .35 or higher? Explain

• Yes because only 10 of the sample proportions 0.35.

• No because 23/100 of the sample proportions were 35% or higher. 23% is not unusual

• Yes because we should get 25% every time.

Would it be unusual to get a sample proportion of .60 or higher? Explain

• Yes because only 1 out the 100 sample proportions was 60%. 0.01 is unusual.

• Yes because if it is possible, it can't be unusual.

Sampling distributions were created with 3 different sample sizes of 10, 50, and 100. Which sampling distribution goes with which sample size?

• Curve 1: 10

  Curve 2: 50

  Curve 3: 100

• Curve 1: 50

  Curve 2: 10

  Curve 3: 100

• Curve 1: 100

  Curve 2: 50

  Curve 3: 10

• Curve 1: 10

  Curve 2: 100

  Curve 3: 50

The sampling distribution of a statistic is shown which has a mean of 4.5. The population parameter is 4.5. Is the statistic an unbiased estimator?

• Yes because the mean of the sampling distribution is equal to the parameter

• Yes because sampling distribution is skewed right

• No because the sampling distribution is skewed right

• No because there is a lot of variability in the sampling distribution

A candy maker offers child- and adult size bags of jelly beans with different color mixes. The company claims that the child mix has 30% red jelly beans, while the adult mix contains 15% red jelly beans. Assume that the candy maker’s claim is true. Suppose we take a random sample of 50 jelly beans from the child mix and a separate random sample of 100 jelly beans from the adult mix. Let p̂₁ and p̂₂ be the sample proportions of red jelly beans from the child and adult mixes, respectively. Calculate the standard deviation of the sampling distribution for the difference in proportions.

• 0.0740

• 0.0648

• 0.0357

• You can't calculate the 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

At a particular college, 78% of all students are receiving some kind of financial aid.The school newspaper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?

•  78% is a population and 72% is a sample.

• 72% is a population and 78% is a sample

• 78% is a parameter and 72% is a statistic

• 72% is a parameter and 78% is a statistic