Statistical Questions

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

When sampling from a population with proportion p, the sample outcomes will vary.  Which of the following represents the standard deviation of the sampling distribution?

• p

The population describes:

• The group of people, objects or events being surveyed
• part of the group being surveyed
• the whole world
• the school

What does this symbol represent?

• population mean
• population standard deviation
• parameter standard error
• proportion standard deviation

What does this symbol represent?

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

What does this formula do?

• Calculates Standard Deviation

• Checks if the samples are independent

• Checks Normality

• Calculates Probabilities

Which of the following best describes a sampling distribution of a statistic?

• It is the probability that the sample statistic equals the parameter of interest.

• It is the probability distribution of all the values that are contained in all possible samples of the same size.

• It is the distribution of all of the statistics calculated from all possible samples of the same size.

• It is the histogram of sample statistics from all possible samples of the same size.

• All answers are correct.

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.  (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.