Free Printable Hypothesis

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Hypothesis

Total questions: 50

Worksheet time: 2hrs 40mins

Name

Class

Date

What is definition of null hypothesis?

The independent variable has no effect on the dependent variable for the population

The independent variable does have an effect on the dependent variable

The dependent variable has no effect on the independent variable

The dependent variable does have effec on the independent variable

If the alpha level is increased from 0.01 to 0.05, then the boundaries for the critical region move farther away from the center of the distribution.

True

False

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

If a sample mean is in the critical region with alpha level 0.05, it would still (always) be in the critical region if alpha were changed to 0.01?

False

True

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

True

False

In a research report, the results of a hypothesis test include the phrase " z=3.15, p<0.01". This means that the test failed to reject the null hypothesis.

True

False

A z-score value in critical region means that you should reject the null hypothesis.

True

False

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

When p-value is greater than alpha we:

Reject Ho

Fail to reject Ha

Fail to reject Ho

Reject Ha

10.

What is the only option for the null hypothesis?

H₀ = k

H₀ > k

H₀ < k

H₀ ≠ k

11.

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

H_a = k

H_a > k

H_a < k

H_a ≠ k

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.

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

14.

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

15.

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

True

False

16.

The null and alternative hypothesis can be the same.

Yes

Maybe

All the above

17.

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

18.

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

19.

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

20.

H₀: μ = k

H₁: μ ≠ k

Left-tailed test

Two-tailed test

Right-tailed test

21.

H₀: μ = k

H₁: μ > k

Left-tailed test

Right-tailed test

22.

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.

23.

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.

24.

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.

25.

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.

26.

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.

27.

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.

28.

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.

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

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

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

29.

Which of the following shows a right-tailed test?

Ha: µ < 15

H₀: µ < 15

Ha: µ > 15

H₀: µ > 15

30.

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

31.

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

32.

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

33.

When p-value is greater than alpha we:

Reject Ho

Fail to reject Ha

Fail to reject Ho

Reject Ha

34.

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

When n < 30

When n ≥ 30

When all of the planets align

When Ms. O said to

35.

H₀: μ = k

H₁: μ ≠ k

Left-tailed test

Two-tailed test

Right-tailed test

36.

H₀: μ = k

H₁: μ > k

Left-tailed test

Right-tailed test

37.

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

Type I error

Type II error

38.

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

Type I error

Type II error

39.

A level of significance of 5% means:

There's a 5% chance we're wrong

There's a 5% chance we'll be wrong if we fail to reject the null hypothesis

There's a 5% chance we'll be wrong if we reject the null hypothesis.

There's a 5% chance you'll get an A on the test.

40.

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.

Reject Ho

Reject Ha

Fail to reject Ho

Fail to reject Ha

41.

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.

Reject Ho

Reject Ha

Fail to reject Ho

Fail to reject Ha

42.

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.

Reject Ho

Reject Ha

Fail to reject Ho

Fail to reject Ha

43.

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.

Reject Ho

Reject Ha

Fail to reject Ho

Fail to reject Ha

44.

A group of objects about which information is to be gained

Population

Sample

Average

Null hypothesis

45.

A sample is a subset of a population used to gain information about the whole population

True

False

46.

The positive square root of the sample variance

Standard Deviation

Variance

Mean

Average

47.

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

48.

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.

Reject Ho

Reject Ha

Fail to reject Ho

Fail to reject Ha

49.

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.

There is enough evidence to reject the claim

There is not enough evidence to reject the claim

There is enough evidence to support the claim

There is not enough evidence to support the claim

50.

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.

Reject Ho

Reject Ha

Fail to reject Ho

Fail to reject Ha

Reset

Hypothesis

Total questions: 50

Worksheet time: 2hrs 40mins

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