Quiz about Sample Proportions

Question 1

A sample is taken of 200 people. The number of people who own a dog was 80.
What is the sample proportion?

Accepted Answer

0.4

Answer

80

Answer

0.8

Answer

35%

Question 2

A sample is taken of 200 people. The number of people who own a dog was 80.
What is the population proportion?

Accepted Answer

Unknown

Answer

80

Answer

0.8

Answer

0.4

Question 3

30% of all dogs in a city are micro-chipped. In a sample of 50 dogs, what is the probability that less than 12 dogs are micro-chipped?

Accepted Answer

0.177

Answer

0.237

Answer

0.189

Answer

0.126

Question 4

Select the correct description

Accepted Answer

Sample Proportion

Answer

Average Percent

Answer

Population Proportion

Answer

Percent Slope of a Distribution

Question 5

What does this symbol represent?

Accepted Answer

sample proportion

Answer

population proportion

Answer

parameter

Answer

population sample

Question 6

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?

Accepted Answer

phat

Answer

n

Answer

P

Answer

standard deviation

Question 7

A random sample of 100 WHS students found that 53 of them were in possession of a pencil. What is the p-hat for this sample?

Accepted Answer

0.53

Answer

0.5

Answer

0.47

Answer

1

Question 8

Define the symbol.

Accepted Answer

sample proportion

Answer

sample size

Answer

standard deviation of sampling distribution of sample means

Answer

population proportion

Question 9

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?

Accepted Answer

0.4

Answer

0.44

Answer

0.56

Answer

0.6

Question 10

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?

Accepted Answer

n

Answer

P

Answer

phat

Answer

standard deviation

Question 11

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?

Accepted Answer

78% is a parameter and 72% is a statistic

Answer

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

Answer

72% is a population and 78% is a sample

Answer

72% is a parameter and 78% is a statistic

Question 12

Suppose we have a population that is 49% male. If we take a random sample from that population and determine the percent of our sample that is male, we refer to this proportion as...

Accepted Answer

p-hat

Answer

p

Answer

the sample mean

Answer

the sampling distribution

Question 13

When sampling from a population with proportion p, the distribution of sample proportions (p-hat) will vary. What will be the mean of all possible sample proportions?

Accepted Answer

p

Answer

$$\sqrt{\frac{p\left(1-p\right)}{n}}$$

Answer

$$\mu$$

Answer

$$\sigma$$

Question 14

30% of all dogs in a city are micro-chipped. In a sample of 500 dogs, what is the probability that less than 140 dogs are micro-chipped? Select the closest option.

Accepted Answer

0.17

Answer

0.25

Answer

0.21

Answer

0.13

Question 15

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?

Accepted Answer

$$\sqrt{\frac{p\left(1-p\right)}{n}}$$

Answer

p

Answer

$$\mu$$

Answer

$$\sigma$$

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