Free Printable Hypothesis Testing

Worksheets

Hypothesis Testing

Total questions: 18

Worksheet time: 53mins

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 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

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

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

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

True

False

The null and alternative hypothesis can be the same.

Yes

Maybe

All the above

10.

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

11.

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

12.

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

13.

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.

14.

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

15.

In a recent survey, the average amount of money

students have in their pockets is $5.40 with a standard

deviation of $1.20. A teacher feels that the average

amount is actually higher. She surveys 80 randomly

selected students and finds the average amount is

$5.50. At α = 0.05, test the teacher’s claim that the

average amount of money is actually higher than $5.40.

Reject Ho

Reject Ha

Fail to reject Ho

Fail to reject Ha

16.

In a recent survey, the average amount of money

students have in their pockets is $5.40 with a standard

deviation of $1.20. A teacher feels that the average

amount is actually higher. She surveys 80 randomly

selected students and finds the average amount is

$5.50. At α = 0.05, test the teacher’s claim that the

average amount of money is actually higher than $5.40.

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

17.

A sample of 35 cans of Campbell’s Tomato Soup found

that the net weight of the cans was 298 grams with a

standard deviation of 24 grams. The production line

supervisor has been told that the net weight of all cans

is 308 grams. Is there enough evidence, at the 5% level,

to say that the weight of the cans is something other

than 308 grams?

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

18.

The Quick Stop claims that the Big Slurp will contain 48

ounces of drink. You decide to test this claim because

you feel the actual amount is lower. Over the next few

weeks, you buy 50 Big Slurps and find the average

amount of drink is 47 ounces with a standard deviation

of 2.75 ounces. At α = 0.05, can you reject the Quick

Stop’s claim?

Reject Ho

Reject Ha

Fail to reject Ho

Fail to reject Ha

Reset

Hypothesis Testing

Total questions: 18

Worksheet time: 53mins

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