Free Printable AP Statistics Intro to Hypothesis testing

1.

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

2.

When performing a test about the population proportion, what distribution would you need to use?

a)

z

b)

t

c)

chi-square

3.

Which of the following shows a right-tailed test?

a)

Ha: µ < 15

b)

H₀: µ < 15

c)

Ha: µ > 15

d)

H₀: µ > 15

4.

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

5.

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

6.

When p-value is greater than alpha we:

a)

Reject Ho

b)

Fail to reject Ha

c)

Fail to reject Ho

d)

Reject Ha

7.

In a research report, the term "significant" is used when the null hypothesis is rejected.

a)

True

b)

False

8.

Which of the following is the FIRST step of a hypothesis test?

a)

Check assumptions & conditions

b)

Find your test statistic

c)

State your conclusion

d)

State your null & alternative hypotheses

9.

At the Chrysler manufacturing plant, there is a part that is supposed to weigh precisely 19 pounds. The engineers take a sample of parts and want to know if they meet the weight specifications. What are our null and alternative hypotheses?

a)

H_o : μ = 17, H_a : μ ≠ 19

b)

H_o : μ = 19, H_a : μ ≠ 19

c)

H_o : μ = 19, H_a : μ ≠ 17

d)

H_o : μ = 17, H_a : μ ≠ 17

10.

The null and alternative hypothesis can be the same.

a)

Yes

b)

No

c)

Maybe

d)

All the above

11.

When determining the conclusion of a hypothesis test with alpha = 5%, which of the following is true?

a)

If the p-value is less than 5%, then we fail to reject the null hypothesis.

b)

If the p-value is less than 5%, then we reject the null hypothesis.

c)

If the p-value is more than 5%, the we reject the null hypothesis.

d)

We need more information.

12.

A study found that 11 out of 44 randomly selected adults said they agree that toddlers should not be taken out to eat at a restaurant. It was previously believed that 30% of adults agree that toddlers should not be taken out to eat at a restaurant. I there evidence to suggest an decrease in this rate? Which of the following is an appropriate set of hypotheses.

a)

$Ho:\ p\ =\ 0.30\ \ \ \ \ \ Ha:\ p\ >\ 0.30$

b)

$Ho:\ p\ =\ 0.30\ \ \ \ Ha:\ \ p\ <\ 0.30$

c)

$Ho:\ p\ =0.30\ \ \ \ Ha:\ p\ \ne\ 0.30$

13.

A study found that 11 out of 44 randomly selected adults said they agree that toddlers should not be taken out to eat at a restaurant. It was previously believed that 30% of adults agree that toddlers should not be taken out to eat at a restaurant. I there evidence to suggest an decrease in this rate? Find the z-score.

a)

-0.766

b)

0.766

c)

-0.724

d)

0.724

14.

If no alpha level is given, what alpha level is assumed?

a)

0.01

b)

0.05

c)

0.10

d)

0.25

15.

Conduct a test to determine whether or not the population proportion of voters in favor of proposal A is greater than 50%. In a random sample of 200 voters, 140 said that they were in favor of this proposal. Compute the test statistic.

a)

z = 7.708

b)

z = 5.66

c)

p = 7.7 x 10^-9

d)

None of the above

AP Statistics Intro to Hypothesis testing

Total questions: 15

Worksheet time: 11mins

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