Free Printable Illustrating Hypothesis Testing

Worksheets

Illustrating Hypothesis Testing

Total questions: 20

Worksheet time: 7mins

Name

Class

Date

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

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

The mean height of women is greater than 65"

H₀: μ > 65"

Hₐ: μ ≠ 65"

H₀: μ < 65"

Hₐ: μ > 65"

H₀: p > 65"

Hₐ: p ≠ 65"

H₀: p = 65"

Hₐ: p > 65"

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

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

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

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

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

10.

A test is made of H₀ : µ = 17 versus H₁ : µ < 17 is performed using α = 0.01 significance level. The value of the test statistic is z = -2.68 and it is concluded that H₀ is rejected.

If the true value of µ is 17, is the conclusion a Type I Error, Type II error, or a correct decision?

Type I

Type II

Correct Decision

11.

A test is made of H₀ : µ = 17 versus H₁ : µ < 17 is performed using α = 0.01 significance level. The value of the test statistic is z = -2.68 and it is concluded that H₀ is rejected.

If the true value of µ is 10, is the conclusion a Type I Error, Type II error, or a correct decision?

Type I

Type II

Correct Decision

12.

A test is made of H₀ : µ = 50 versus H₁ : µ =/= 50 is performed using α = 0.01 significance level. The value of the test statistic is z = -2.68 and it is concluded that we fail to reject H₀ .

If the true value of µ is 65, is the conclusion a Type I Error, Type II error, or a correct decision?

Type I

Type II

Correct Decision

13.

If the true value of µ is 50, is the conclusion a Type I Error, Type II error, or a correct decision?

Type I

Type II

Correct Decision

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.

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

18.

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

19.

H₀: μ = k

H₁: μ ≠ k

Left-tailed test

Two-tailed test

Right-tailed test

20.

H₀: μ = k

H₁: μ > k

Left-tailed test

Right-tailed test

Reset

Illustrating Hypothesis Testing

Total questions: 20

Worksheet time: 7mins

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