Free Printable Hypothesis Testing with one sample

1.

A manufacturer claims that his tires last at least 40,000

miles. A test on 25 tires reveals that the mean life of a tire

is 39,750 miles, with a standard deviation of 387 miles.

Test the Manufacturer’s claim at α = .01.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

2.

A one sample t-test is conducted on Ho : μ = 81.6. The

sample has a sample mean = 84.1 , s = 3.1, n = 25, and α = .01.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

3.

A one sample t-test is conducted on Ho : μ = 81.6. The

sample has a sample mean = 84.1 , s = 3.1, n = 25, and α =

.01.

a)

There is enough evidence to reject the claim

b)

There is not enough evidence to reject the claim

c)

There is enough evidence to support the claim

d)

There is not enough evidence to support the claim

4.

In performing a hypothesis test where the null

hypothesis is that the μ = 6.9. A random sample of 16

items is selected. The sample mean is 7.1 and the sample

standard deviation is 2.4. It can be assumed that the

population is normally distributed at α = .05.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

5.

A fast food outlet claims that the mean waiting time in

line is less than 3.5 minutes. A random sample of 20

customers has a mean of 3.7 minutes with a standard

deviation of 0.8 minute. If α = 0.05, test the fast food

outlet's claim.

a)

There is enough evidence to reject the claim

b)

There is not enough evidence to reject the claim

c)

There is enough evidence to support the claim

d)

There is not enough evidence to support the claim

6.

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

7.

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

8.

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

9.

When p-value is greater than alpha we:

a)

Reject Ho

b)

Fail to reject Ha

c)

Fail to reject Ho

d)

Reject Ha

10.

When do you use a t-value instead of a z-value?

a)

When n < 30

b)

When n ≥ 30

c)

When all of the planets align

d)

When Ms. O said to

11.

The null and alternative hypothesis can be the same.

a)

Yes

b)

No

c)

Maybe

d)

All the above

12.

H₀: μ = k

H₁: μ ≠ k

a)

Left-tailed test

b)

Two-tailed test

c)

Right-tailed test

13.

H₀: μ = k

H₁: μ > k

a)

Left-tailed test

b)

Right-tailed test

14.

What is the 5 steps procedure for hypothesis testing?

a)

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)

b)

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

c)

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

15.

A manufacturer claims that his tires last at least 40,000

miles. A test on 25 tires reveals that the mean life of a tire

is 39,750 miles, with a standard deviation of 387 miles.

Test the Manufacturer’s claim at α = .01.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

16.

A fast food outlet claims that the mean waiting time in

line is less than 1.9 minutes. A random sample of 20

customers has a mean of 1.7 minutes with a standard

deviation of 0.8 minute. If α = 0.05, test the fast food

outlet's claim using P-values.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

17.

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?

a)

H₀ = 18.4
H_a = 18.4

b)

H₀ = 18.4
H_a > 18.4

c)

H₀ = 18.4
H_a < 18.4

d)

H₀ = 18.4
H_a ≠ 18.4

18.

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

19.

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

a)

True

b)

False

20.

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

21.

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.

a)

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

b)

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

c)

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

22.

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

23.

When p-value is greater than alpha we:

a)

Reject Ho

b)

Fail to reject Ha

c)

Fail to reject Ho

d)

Reject Ha

24.

What is the only option for the null hypothesis?

a)

H₀ = k

b)

H₀ > k

c)

H₀ < k

d)

H₀ ≠ k

25.

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

a)

H_a = k

b)

H_a > k

c)

H_a < k

d)

H_a ≠ k

26.

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?

a)

H₀ = 18.4
H_a = 18.4

b)

H₀ = 18.4
H_a > 18.4

c)

H₀ = 18.4
H_a < 18.4

d)

H₀ = 18.4
H_a ≠ 18.4

27.

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

28.

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?

a)

H₀ = 47
H_a = 47

b)

H₀ = 47
H_a < 47

c)

H₀ = 47
H_a > 47

d)

H₀ = 47
H_a ≠ 47

29.

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

a)

True

b)

False

30.

The null and alternative hypothesis can be the same.

a)

Yes

b)

No

c)

Maybe

d)

All the above

31.

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

32.

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

33.

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

34.

H₀: μ = k

H₁: μ ≠ k

a)

Left-tailed test

b)

Two-tailed test

c)

Right-tailed test

35.

H₀: μ = k

H₁: μ > k

a)

Left-tailed test

b)

Right-tailed test

36.

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.

a)

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

b)

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

c)

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

37.

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 alternative hypothesis.

a)

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

b)

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

c)

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

38.

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.

a)

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

b)

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

c)

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

39.

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 null hypothesis.

a)

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

b)

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

c)

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

40.

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.

a)

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

b)

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

c)

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

41.

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.

a)

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

b)

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

c)

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

42.

In a random sample of 1000 adult Americans, 700 indicated that they oppose the reinstatement of a military draft. Is there convincing evidence that the proportion of American adults who oppose the reinstatement of the draft is different from two-thirds? State the null hypothesis.

a)

H_o: p < 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

b)

H_o: p > 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

c)

H_o: p = 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

43.

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.

a)

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

b)

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

c)

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

44.

Write a conclusion.

An auto maker estimates that the mean gas mileage of its luxury sedan is at least 25 miles per gallon. A random sample of eight such cars had a mean of 23 miles per gallon. The United Autoworkers have studied all cars of this type and found that the population standard deviation is 5 miles per gallon. Test the validity of this claim at α =0.05.

a)

Since P=.1292 is greater than α =0.05, we must reject undefined . There is sufficient evidence to indicate that the average gas mileage for this luxury sedan is at least 25 mpg.

b)

Since P=.1292 is greater than α =0.05, we must reject undefined . There is not sufficient evidence to indicate that the average gas mileage for this luxury sedan is at least 25 mpg.

c)

Since P=.1292 is greater than α =0.05, we must fail to reject $H_o$ . There is sufficient evidence to indicate that the average gas mileage for this luxury sedan is at least 25 mpg.

d)

Since P=.1292 is greater than α =0.05, we must fail to reject undefined . There is not sufficient evidence to indicate that the average gas mileage for this luxury sedan is at least 25 mpg.

45.

Which of the following represents the appropriate null & alternative hypotheses?

The mean height of women is greater than 64"

a)

H₀: μ > 64"

Hₐ: μ ≠ 64"

b)

H₀: μ < 64"

Hₐ: μ > 64"

c)

H₀: p > 64"

Hₐ: p ≠ 64"

d)

H₀: p = 64"

Hₐ: p > 64"

Hypothesis Testing with one sample

Total questions: 45

Worksheet time: 2hrs 46mins

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