Free Printable Hypothesis Testing

Worksheets

Hypothesis Testing

Total questions: 25

Worksheet time: 50mins

Name

Class

Date

What is the only option for the null hypothesis?

H₀ = k

H₀ > k

H₀ < k

H₀ ≠ k

Which of the following is not an option for an alternate hypothesis?

H_a = k

H_a > k

H_a < k

H_a ≠ k

In a hypothesis test, the alternative hypothesis is always a statement of equality.

True

False

The null and alternative hypothesis can be the same.

Yes

Maybe

All the above

A P-value indicates:

the probability that the null hypothesis is true

the probability that the alternative hypothesis is true

the probability of obtaining the results (or one more extreme) if the null hypothesis is true

probability of a Type I error

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

using a small level of significance

using a large level of significance

obtaining data with a small p-value

obtaining data with a low test statistic

H₀: μ = k

H₁: μ ≠ k

Left-tailed test

Two-tailed test

Right-tailed test

H₀: μ = k

H₁: μ > k

Left-tailed test

Right-tailed test

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

a) Reject the null hypothesis

b) Reject the alternative hypothesis

c) Fail to reject the null hypothesis

d) Fail to reject the alternative hypothesis

10.

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

Check assumptions & conditions

Find your test statistic

State your conclusion

State your null & alternative hypotheses

11.

What is the 5 steps procedure for hypothesis testing?

1) State the hypotheses and identify the claim

2) Find the critical value

3) Compute the test value

4) Summarize the results

5) Make the decision (reject or not reject)

1) State the hypotheses and identify the claim

2) Compute the test value

3) Find the critical value

4) Make the decision (reject or not reject)

5) Summarize the results

1) State the hypotheses and identify the claim

2) Find the critical value

3) Compute the test value

4) Make the decision (reject or not reject)

5) Summarize the results

12.

The weight of the average 6th grade student's backpack (with books in it) is 18.4 lbs. The principal of the school thinks that the backpack does not weight 18.4 lbs. What is the null and alternate hypothesis?

H₀ = 18.4
H_a = 18.4

H₀ = 18.4
H_a > 18.4

H₀ = 18.4
H_a < 18.4

H₀ = 18.4
H_a ≠ 18.4

13.

A car manufacturer advertises that its new subcompact models get 47 mpg. If μ is the mileage of these cars, what could be the null and alternate hypothesis if we wanted to check if the car's mpg is overrated?

H₀ = 47
H_a = 47

H₀ = 47
H_a < 47

H₀ = 47
H_a > 47

H₀ = 47
H_a ≠ 47

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%.

H₀: p = 0.50

H₀: µ = 100

H₀: p = 0.48

H₀: µ = 96

15.

A P-value indicates:

the probability that the null hypothesis is true

the probability that the alternative hypothesis is true

the probability of obtaining the results (or one more extreme) if the null hypothesis is true

probability of a Type I error

16.

In a random sample of 1000 adult Americans, only 430 could name at least one justice who is currently serving on the US Supreme Court. A claim is that fewer than half of adult Americans can name at least one justice who is currently serving on the US Supreme Court. State the null hypothesis.

H_o: p <.5, where p is the true proportion of Americans who can name one justice currently serving.

H_o:p >.5 where p is the true proportion of Americans who can name one justice currently serving.

H_o:p =.5 where p is the true proportion of Americans who can name one justice currently serving.

17.

H_a: p=.5, where p is the true proportion of Americans who can name one justice currently serving.

H_a: p>.5, where p is the true proportion of Americans who can name one justice currently serving.

H_a: p<.5, where p is the true proportion of Americans who can name one justice currently serving.

18.

In a national survey of 2013 adults, 1283 indicated that they believe rudeness is a more serious problem than in years past. Does this indicate that more than 3/4 of American adults believe rudeness is a worsening problem? State the alternative hypothesis.

H_a: p > .75, where p is the true proportion of Americans who believe rudeness is worsening.

H_a: p = .75, where p is the true proportion of Americans who believe rudeness is worsening.

H_a: p <.75, where p is the true proportion of Americans who believe rudeness is worsening.

19.

H_o: p > .75, where p is the true proportion of Americans who believe rudeness is worsening.

H_o: p = .75, where p is the true proportion of Americans who believe rudeness is worsening.

H_o: p < .75, where p is the true proportion of Americans who believe rudeness is worsening.

20.

The Associated Press found that 730 of 1000 randomly selected adults preferred to watch movies at home rather than at a movie theater. Is there convincing evidence that the majority of adult Americans prefer watching movies at home? State the alternative hypothesis.

H_a: p = .50, where p is the true proportion of adult Americans who prefer watching movies at home.

H_a: p < .50, where p is the true proportion of adult Americans who prefer watching movies at home.

H_a: p > .50, where p is the true proportion of adult Americans who prefer watching movies at home.

21.

In a survey of 526 US businesses, 400 indicated that they monitor employee's web site visits. Is there sufficient evidence that more than 70% of US businesses monitor employees' web site visits? State the null hypothesis.

H_o: p = .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

H_o: p < .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

H_o: p > .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

22.

Define a Type I error?

The failure to reject a false null hypothesis

Rejecting a true null hypothesis

The acceptance to reject a null hypothesis

Accepting a true null hypothesis

23.

A __________ occurs if you reject the null hypothesis when it is true.

Type I error

Type II error

24.

A __________ occurs if you accept the null hypothesis when it is false.

Type I error

Type II error

25.

The (a) separates the critical region from the non-critical region.

100 %

Hypothesis Testing

Total questions: 25

Worksheet time: 50mins

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