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hypothesis testing

Total questions: 50

Worksheet time: 1hrs 7mins

Name

Class

Date

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

a) reject the null

b) reject the alternative

c) Fail to reject the null

d) Fail to reject the alternative

When p-value is greater than alpha we:

Accept Ho

Accept Ha

Fail to reject Ho

Reject Ho

A random sample of students at a college shows that 54 of 200 students had part-time jobs. We want to see if the proportion of all college students with part time jobs is greater than the national average.

1 sample t-test

1 prop t-test

1 prop z-test

1 sample z-test

Small p-values mean that our sample was very unlikely if the null hypothesis is true. Therefore, small p-values are ________________ that the null hypothesis is wrong.

convincing evidence

believable proof

reliable information

justifiable inference

The symbol for the significance level is ____.

$\alpha$

$\theta$

$\pi$

$\mu$

The drying supervisor uses the new method on a random sample of 200 boards. She conducts a hypothesis test on her sample data and gets a p-value of .027. Based on the p-value , was there convincing evidence that the new method is better? Use $\alpha$ = 0.05.

Since our p-value of 0.027 is < $\alpha$ , we reject the null hypothesis. We have convincing evidence that the new method is better.

Since our p-value of 0.027 is >undefined , we fail to reject the null hypothesis. We do not have convincing evidence that the new method is better.

A test of hypothesis is always about

a population parameter

a sample statistic

a test statistic

If the p-value is large, then, assuming the null is true, the sample is not unusual , so we ______ the null and there _________ that the alternative hypothesis is true.

fail to reject, is NOT convincing evidence

fail to reject, IS convincing evidence

reject, is NOT convincing evidence

reject, IS convincing evidence

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.

H₀: μ = k

H₁: μ > k

Left-tailed test

Right-tailed test

11.

When performing a significance test, we're looking for convincing evidence to __________ the null hypothesis in favor of the alternative hypothesis.

refute

dispute

reject

12.

The symbol for the significance level is ____.

$\alpha$

$\theta$

$\pi$

$\mu$

13.

Are Democrats and Republicans equally likely to vote?

Paired T Test

Independent T Test

ANOVA

One Sample T Test

14.

Is the average cost of a European vacation less than $8,000?

Independent T Test

Paired T Test

ANOVA

One Sample T Test

15.

Is the starting salary of computer science, engineering, and science

majors the same after graduation?

Independent T Test

Paired T Test

ANOVA

Chi Square Goodness of Fit

16.

Do peaches weigh more than 40g on average?

Independent T Test

Paired T Test

ANOVA

One Sample T Test

17.

Does a person’s IQ score change after going through college?

Independent T Test

Paired T Test

ANOVA

One Sample T Test

18.

Does blood pressure increase after going through a haunted house?

Independent T Test

Paired T Test

ANOVA

One Sample T Test

19.

Which of the following is the null hypothesis for a two-sample t-test?

The means of the two samples are equal

The means of the two samples are not equal

The variances of the two samples are equal

The variances of the two samples are not equal

20.

A researcher wants to test if there is a significant difference between the mean income of men and women in a particular city. Which of the following tests should be used?

Paired t-test

Independent t-test

ANOVA

Chi-squared test

21.

Which of the following is the correct interpretation of a p-value of 0.01 in a two-sample t-test?

There is a 1% chance that the null hypothesis is true

There is a 1% chance that the alternative hypothesis is true

There is a 99% chance that the null hypothesis is true

There is a 99% chance that the alternative hypothesis is true

22.

Which of the following assumptions is not required for a two-sample t-test?

The sample sizes are large

The data are normally distributed

The samples are independent

The variances of the two samples are equal

23.

A statistician is interested in comparing the mean ages of two populations. Which of the following is the null hypothesis?

μ1 > μ2

μ1 ≠ μ2

μ1 < μ2

μ1 = μ2

24.

A researcher wants to test whether the mean heights of two groups of basketball players are different. Which of the following tests should be used?

Chi-square test for independence

T-test for independent samples

T-test for dependent samples

Z-test for independent samples

25.

Which test should be used to determine if there is a difference in the proportion of males and females who prefer cats as pets?

T-test

Z-test

ANOVA

Chi-square test

26.

The alternative hypothesis for a test of the difference between two population proportions is:

The proportions are equal

The proportions are both greater than 1

The proportions are both less than 1

The proportions are not equal

27.

Which test is used to test the equality of variances between two normally distributed populations?

t-test

ANOVA

F-test

Chi-squared test

28.

If the calculated F-statistic is greater than the critical F-value, what should be done?

Reject the null hypothesis

Fail to reject the null hypothesis

Accept the alternative hypothesis

None of the above

29.

Which of the following best describes a Type I error?

The null is true, but we mistakenly reject it.

The null is false and we reject it.

The null is false, but we fail to reject it.

The null is true but we fail to reject it.

The null is true, and we fail to reject it.

30.

To test a claim about a mean, when the population standard deviation is unknown we use:

z procedures

Pythagorean Theorem

t procedures

np > 10 and n(1-p) > 10

31.

The null hypothesis is represented by:

32.

The null hypothesis always contains a(an):

< or >

= or >

≠

33.

When p-value is greater than alpha we:

Accept Ho

Accept Ha

Fail to reject Ho

Reject Ho

34.

What is the Power of a test?

A strong force

The probability that we correctly reject a false null.

The probability that we correctly accept a true null.

How tough it is.

35.

Which of the following best describes a type II error?

The null is true, but we mistakenly reject it.

The null is false and we reject it.

The null is false, but we fail to reject it.

The null is true but we fail to reject it.

Te null is false, and we reject it.

36.

What does it mean when a test is statistically significant?

it has reached alpha level status

the test statistic had a P-value higher than the alpha level

the test statistic had a P-value lower than the alpha level

it is important in practical terms

37.

How can you reduce both Type I and Type II errors?

it can't be reduced

redo the tests

increase the sample size

tamper with the data

38.

Lumber companies dry freshly cut wood in kilns before selling it. A certain percentage of boards develop cracks on their ends during drying. The current drying procedure is known to produce cracks in 16% of boards. The drying supervisor wants to try a new method that she believes will result in a proportion of cracked boards that is less than 16%.

Write the appropriate hypotheses.

Ho: p = 0.16

Ha: p = 0.16

Ho: p = 0.16

Ha: p =/= 0.16

Ho: p = 0.16

Ha: p > 0.16

Ho: p = 0.16

Ha: p < 0.16

39.

The symbol for the significance level is ____.

$\alpha$

$\theta$

$\pi$

$\mu$

40.

Researchers claim that a blue background enhances creativity based on the average scores below. Test the claim at a 1% significance level.

P = .0021

We are more creative with blue.

P = 0.9979

We are more creative with blue.

P = .0021

We are more creative with red.

P = 0.9979

There appears to be no difference.

41.

Two pain relief medicines are tested on volunteer post-operation patients, randomly assigned to one of the two brands of medicine, as to whether or not mean duration of relief are different. Data is recorded in minutes of pain relief. What is the conclusion of the appropriate hypothesis test for this experiment?

P < .05 so reject Ho.

P < .05 so fail to reject Ho.

P > .05 so reject Ho.

P > .05 so fail to reject Ho.

5% significance level is inappropriate for medical decisions.

42.

What type of test?
It is thought that the average penny is older than the average quarter. The average age of a sample of 50 pennies was 8.72 years with a s = 0.73 years and the average age of 50 quarters was 6.78 years with a s = 0.99 years.

2 sample z-test for mean

2 sample t-test for mean

matched pairs t-test

2 sample z-test for proportion

43.

A random sample of 425 citizens of Naboo found that 34% support the Galactic Republic. A sample of 585 citizens of Tatooine found that 38% support the Galactic Republic. What test would you use to determine if the the proportions are different?

A 2 sample z-test for mean

A 2 sample t-test for mean

A matched-pairs dependent sample t-test for mean

A 2 - proportion z test

44.

A Keebler sales rep claims that there are more chocolate chips in their cookie than in Chips Ahoy cookies. You take a random sample of 20 Keebler cookies and find an average of 15.8 chips per cookie and a s = 3.7 chips. A random sample of 25 Chips Ahoy yields 14.2 chips per cookie and s = 4.3 chips. What is the conclusion of the test?

There is enough evidence to reject the claim that there are more chips in Keeblers.

There is not enough evidence to reject the claim that there are more chips in Keeblers.

There is enough evidence to support the claim that there are more chips in Keeblers.

There is not enough evidence to support the claim that there are more chips in Keeblers.

45.

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

46.

Write the appropriate hypotheses.

Ho: p = 0.16

Ha: p = 0.16

Ho: p = 0.16

Ha: p ≠ 0.16

Ho: p = 0.16

Ha: p > 0.16

Ho: p = 0.16

Ha: p < 0.16

47.

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

48.

The weight of an 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 weigh 18.4 lbs. What is the null and alternative hypothesis?

$H_0:\ µ\ =\ 18.4$ $H_a:\ µ\ =\ 18.4$

$H_0:\ µ\ =\ 18.4$ $H_0:\ µ\ \ne\ 18.4$

$H_0:\ p\ =\ 18.4$ $H_a:\ p\ \ne\ 18.4$

$H_0:\ µ\ =\ 18.4$ $H_a:\ µ\ >\ 18.4\$

49.

A dairy association representative says 80% of people drink the milk after they eat the cereal. You believe the true proportion is less than 80%. Which are the correct hypotheses?

Ho: p < .80 Ha: p = .80

Ho: p = .80 Ha: p $\ne$ .80

Ho: p = .80 Ha: p < .80

Ho: everyone drinks the milk Ha: no one drinks the milk

50.

You are going to conduct a hypothesis test for a proportion. What will be the check for the large enough sample condition?

if the data comes from a normal population

if the sample size is at least 30

if the sample data has no outliers or strong skewness

if the sample is large enough to expect at least 10 successes and 10 failures.

100 %

hypothesis testing

Total questions: 50

Worksheet time: 1hrs 7mins

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