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P/S Ch. 16/17 Review

Total questions: 6

Worksheet time: 3mins

Name
Class
Date
1.

Suppose 20% of all incoming freshmen at a large university must take a remedial mathematics course. A random sample of 170 incoming freshmen is selected and the proportion of the sample needing to take a remedial math course (p-hat) is calculated.

What is the standard error for the sampling distribution of p-hat?

a)

0.031

b)

0.00096

c)

5.22

d)

0.062

2.

Suppose 20% of all incoming freshmen at a large university must take a remedial mathematics course. A random sample of 170 incoming freshmen is selected and the proportion of the sample needing to take a remedial math course (p-hat) is calculated.

If the size of the sample described was made 4 times larger, what impact would that have on the standard error of the distribution?

a)

The SE would get 4 times larger

b)

The SE would get 4 times smaller

c)

The SE would get 2 times larger

d)

The SE would get 2 times smaller

3.

Which of the following z* values should be used when constructing a 96% confidence interval?

a)

2.05

b)

1.96

c)

2.33

d)

2.58

4.

Which of the following z* values should be used when constructing a 90% confidence interval?

a)

1.64

b)

1.96

c)

1.28

d)

2.58

5.

A 95% confidence interval for the true proportion of incoming freshmen to a large university who must complete a remedial mathematics course is constructed: (0.164 , 0.224).

What is the margin of error for the given interval?

a)

0.06

b)

0.03

c)

0.015

d)

0.12

6.

A 95% confidence interval for the true proportion of incoming freshmen to a large university who must complete a remedial mathematics course is constructed: (0.164 , 0.224).

How many incoming freshmen were surveyed?

a)

668

b)

220

c)

180

d)

557