Hypothesis testing - Assessment

1.

Multiple Choice

10 sec

1 pt

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

2.

Multiple Choice

2 mins

1 pt

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

The mean height of women is greater than 64"

H₀: μ > 64"

Hₐ: μ ≠ 64"

H₀: μ < 64"

Hₐ: μ > 64"

H₀: p > 64"

Hₐ: p ≠ 64"

H₀: p = 64"

Hₐ: p > 64"

3.

Multiple Choice

10 sec

1 pt

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

4.

Multiple Choice

10 sec

1 pt

When p-value is greater than alpha we:

Reject Ho

Fail to reject Ha

Fail to reject Ho

Reject Ha

5.

Multiple Choice

10 sec

1 pt

A mayor is concerned about the percentage of city residents who express disapproval of his job performance. His political committee pays for a newspaper ad, hoping to keep his disapproval rating below 21%. They will use a follow up poll to access effectiveness. What are the correct null and alternative hypotheses?

Ho: μ > 21

Ha: μ < 21

Ho: p > .20

Ha: p < .20

Ho: p < .21

Ha: p > .21

Ho: p > .21

Ha: p < .21

6.

Multiple Choice

10 sec

1 pt

What is the only option for the null hypothesis?

H₀ = k

H₀ > k

H₀ < k

H₀ ≠ k

7.

Multiple Choice

10 sec

1 pt

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

H_a = k

H_a > k

H_a < k

H_a ≠ k

8.

Multiple Choice

10 sec

1 pt

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

9.

Multiple Choice

10 sec

1 pt

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 the teacher says so

10.

Multiple Choice

10 sec

1 pt

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

11.

Multiple Choice

10 sec

1 pt

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

12.

Multiple Choice

10 sec

1 pt

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

13.

Multiple Choice

10 sec

1 pt

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

14.

Multiple Choice

10 sec

1 pt

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

15.

Multiple Choice

10 sec

1 pt

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 50, is the conclusion a Type I Error, Type II error, or a correct decision?

Type I

Type II

Correct Decision

16.

Multiple Choice

10 sec

1 pt

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

17.

Multiple Choice

10 sec

1 pt

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

True

False

18.

Multiple Choice

10 sec

1 pt

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?

H_o : μ = 17, H_a : μ ≠ 19

H_o : μ = 19, H_a : μ ≠ 19

H_o : μ = 19, H_a : μ ≠ 17

H_o : μ = 17, H_a : μ ≠ 17

19.

Multiple Choice

10 sec

1 pt

Use the notation to state the alternative hypothesis and null hypothesis: "Less than 4% of high school students take Statistics."

H_o: X ≥ 4% and H₁ : X > 4%

H_o: X ≤ 4% and H₁ : X < 4%

H_o: X ≥ 4% and H₁ : X < 4%

H_o: X > 4% and H₁ : X ≤ 4%

20.

Multiple Choice

10 sec

1 pt

The null and alternative hypothesis can be the same.

Yes

No

Maybe

All the above

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