Sampling Distribution of Proportions

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

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

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

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

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 is the probability of getting a sample of size 50 that has 15 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

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

A polling company is considering three sampling procedures over a specific population. Which of the following would have greatest variability?

• 80 samples of size 20

• 50 samples of size 50

• 20 samples of size 80

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

A company has 500 employees and wants to evaluate a proportion using the distribution of sample proportions and normal curve. Under which circumstance will they be able to do this?

• n = 80, p = .2

• n = 40, p = .2

• n = 40, p = .9

• n = 30, p = .4

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.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

53.2% of applicants are accepted into UConn. In a sample of 100 UConn applicants, 45 of them were accepted. What is the parameter?

• All UConn applicants.

• The 100 applicants in the sample.

• 53.2% acceptance rate.

• 45% of accepted in sample.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

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

• The Population
• The Sample
• The Sampling Distribution

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4

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

• The Population
• The Sample
• The Sampling Distribution

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4

In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles.  There are 42 vowel, 56 consonants, and 2 blank tiles in the bag.  Cait chooses an SRS of 7 tiles.  Let p-hat be the proportion of vowels in her sample. 
Is the 10% condition met in this case?

• Yes.
• No.
• Not enough info to determine.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4