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Unit 6 Extra Test Review MCQ

Total questions: 24

Worksheet time: 3hrs 5mins

Name
Class
Date
1.

The symbol for the sample proportion is __________.

a)

z*

b)

c)

E

d)

p

2.
A research company wants to estimate the proportion of people who like oatmeal.  They want the confidence level to be 95%.  The company gets 325 people to sign up for the survey, but on the day that the survey is issued, only 250 people show up and take the survey.  What happens to the confidence interval?
a)
It gets larger
b)
It gets smaller
c)
It stays the same
d)
Too little information given
3.

Find the value of z* for a 90% confidence interval.

a)

-1.96

b)

1.645

c)

1.440

d)

-1.598

4.
A sample of 400 racing cars showed that 80 cars cost over $700,000. What is the 99% confidence interval of the true proportion of cars costing over $700,000?
a)
0.001 < p < 0.005
b)
0.566 < p < 0.693
c)
0.148 < p < 0.252
d)
0.023 < p < 0.045
5.
A recent study of 750 Internet users in Europe found that 35% of Internet users were women.  What is the 95% confidence interval of the true proportion of women in Europe who use the Internet? 
a)
0.321 < p < 0.379
b)
0.316 < p < 0.384
c)
0.309 < p < 0.391
d)
0.305 < p < 0.395
6.

In a survey of 104 students, it was found that 79 went to the homecoming game this year.


A 99% confidence interval for p is (0.652, 0.868). Interpret this interval.

a)

99% of the time the true proportion of people who went to the homecoming game this year is between 65.2% and 86.6%.

b)

The probability that the population proportion of people who went to the homecoming game this year is between 65.2% and 86.6% is 95%.

c)

Based on this sample, I am 99% confident that the true proportion of people who went to the homecoming game this year is between 65.2% and 86.6%.

d)

99% of all possible intervals calculated this way will capture the true proportion of people who went to the homecoming game this year

7.

Find the critical value, z*, for 91% confidence.

a)

1.70

b)

1.34

c)

0.18

d)

-1.34

8.

Which confidence would result in a wider interval (assuming nothing else changed), 91% or 97%?

a)

97%, z* is larger for higher confidence intervals

b)

97%, the standard error is larger for higher confidence intervals

c)

91%, z* is larger for lower confidence intervals

d)

91%, the standard error is smaller for lower confidence intervals

9.

Which confidence would result in a wider interval (assuming nothing else changed), 91% or 97%?

a)

97%, z* is larger for higher confidence intervals

b)

97%, the standard error is larger for higher confidence intervals

c)

91%, z* is larger for lower confidence intervals

d)

91%, the standard error is smaller for lower confidence intervals

10.

For a sample, the 95% confidence interval is (0.202, 0.482).


What is the point estimate, p̂, of this sample?

a)

0.28

b)

0.14

c)

0.342

d)

0.684

11.

For a sample, the 95% confidence interval is (0.202, 0.482).


What is the margin of error of this sample?

a)

0.28

b)

0.14

c)

0.342

d)

0.684

12.

Which of the following actions would produce a confidence interval with a smaller width assuming all other contingencies remained constant?

a)

Using a higher confidence level

b)

Using a lower confidence level

13.
Which of the following changes to a study would result in a narrower confidence interval?
a)
increasing the confidence level, increasing the sample size
b)
decreasing the confidence level, decreasing the sample size
c)
increasing the confidence level, decreasing the sample size
d)
decreasing the confidence level, increasing the sample size.
14.

Identify the correct null hypothesis:


Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

a)

H0: p = 0.50

b)

H0: µ = 100

c)

H0: p = 0.48

d)

H0: µ = 96

15.
In testing hypotheses, which of the following would be strong evidence against the null hypothesis?
a)
using a small level of significance
b)
using a large level of significance
c)
obtaining data with a small p-value
d)
obtaining data with a low test statistic
16.
A P-value indicates:
a)
the probability that the null hypothesis is true
b)
the probability that the alternative hypothesis is true
c)
the probability of obtaining the results (or one more extreme) if the null hypothesis is true
d)
probability of a Type I error
17.

When p-value is greater than alpha we:

a)

Reject Ho

b)

Fail to reject Ha

c)

Fail to reject Ho

d)

Reject Ha

18.

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

a)

a) Reject the null hypothesis

b)

b) Reject the alternative hypothesis

c)

c) Fail to reject the null hypothesis

d)

d) Fail to reject the alternative hypothesis

19.

A mayor is concerned about the percentage of city residents who express disapproval of his job performance. His political committee pays for a newspaper ad, hoping to keep his disapproval rating below 21%. They will use a follow up poll to access effectiveness. What are the correct null and alternative hypotheses?

a)

Ho: μ > 21

Ha: μ < 21

b)

Ho: p > .20

Ha: p < .20

c)

Ho: p < .21

Ha: p > .21

d)

Ho: p > .21

Ha: p < .21

20.

Sally reads a newspaper report claiming that 12% of all adults in the U.S. are left-handed. She decides to test this claim. Sally selects a random sample of 55 classmates and finds that 9 were left-handed. Does this provide sufficient evidence that the proportion of lefties in Sally’s school is different than the national figure? Use α = 0.01.


Which is the correct p-value for this test?

a)

0.160

b)

0.319

c)

0.508

d)

0.492

21.

A manufacturer has a set limit that the proportion of defective items is not to be over 18%. The buyer thinks the proportions of defective items exceeds the limit. The buyer take a random sample of 90 items and finds that 19 of them are defective.   The p-value is:

a)

0.2333

b)

0.2212

c)

.7788

d)

.7682

22.

The symbol for the significance level is ____.

a)

α\alpha

b)

θ\theta

c)

π\pi

d)

μ\mu

23.

In hypothesis testing, if the p-value is less than the significance level, what is the appropriate decision?

a)

Fail to reject the null hypothesis

b)

Reject the null hypothesis

c)

Accept the null hypothesis

d)

Accept the alternative hypothesis

24.

The percentage of female CEOs in a group of companies was 5%. A survey of 300 randomly selected large companies said that 18 of them had female CEOs. Use a hypothesis test to determine whether the population proportion of female CEOs is not .05, using a significance level of .05. Determine if we accept or reject the null hypotheses and state the conclusion.

a)

Reject the null hypothesis. There is not sufficient enough evidence to conclude that the proportion of female CEOs is not .05.

b)

Do not reject the null hypothesis. There is not sufficient enough evidence to conclude that the proportion of female CEOs is not .05.

c)

Reject the null hypothesis. There is sufficient enough evidence to conclude that the proportion of female CEOs is not .05.

d)

Reject the null hypothesis. There is not sufficient enough evidence to conclude that the proportion of female CEOs is not .05.