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9.7 - Hypothesis Testing Review

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

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

The mean height of women is greater than 64"

a)

H₀: μ > 64"

Hₐ: μ ≠ 64"

b)

H₀: μ < 64"

Hₐ: μ > 64"

c)

H₀: p > 64"

Hₐ: p ≠ 64"

d)

H₀: p = 64"

Hₐ: p > 64"

2.

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

a)

a) Reject the null hypothesis

b)

b) Reject the alternative hypothesis

c)

c) Fail to reject the null hypothesis

d)

d) Fail to reject the alternative hypothesis

3.

When p-value is greater than alpha we:

a)

Reject Ho

b)

Fail to reject Ha

c)

Fail to reject Ho

d)

Reject Ha

4.
What is the only option for the null hypothesis? 
a)
H0 = k
b)
H0 > k
c)
H0 < k
d)
H0 ≠ k
5.
Which of the following is not an option for an alternate hypothesis? 
a)
Ha = k
b)
Ha > k
c)
Ha < k
d)
Ha ≠ k
6.

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

a)

When the population standard deviation is not known.

b)

When the population standard deviation is given.

7.

The average miles on a tank of gas for the Ford

Explorer is 300 miles with a standard deviation of 22

miles. A consumer group feels the average is actually

lower. They survey 40 vehicles and find the average

miles per tank is 290 miles. At α = 0.05, test the

consumer groups’ claim that the miles per tank is

actually lower than 300 miles.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

8.

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?

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

9.

When performing a test about the population proportion, what distribution would you need to use?

a)

z-test

b)

t-test

10.

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

a)

a) Reject the null hypothesis

b)

b) Reject the alternative hypothesis

c)

c) Fail to reject the null hypothesis

d)

d) Fail to reject the alternative hypothesis

11.

A potato chip producer and a supplier of potatoes agree that each shipment must meet certain quality standards. If the producer is convinced that more than 8% of the potatoes in the shipment have blemishes, the truck will be sent away and another one would have to be sent. In a recent shipment, a SRS of 80 potatoes was selected and 7 had blemishes. Does this sample provide sufficient evidence that the criteria hasn’t been met and the shipment should be returned? Use α = 0.01.


Which is the correct conclusion for this test?

a)

Since p-value = .4013 > .01, I reject H0. There is not sufficient evidence to suggest that the shipment should be returned.

b)

Since p-value = .4013 > .01, I reject H0. There is sufficient evidence to suggest that the shipment should be returned.

c)

Since p-value = .4013 < .01, I fail to reject H0. There is sufficient evidence to suggest that the shipment should be returned.

d)

Since p-value = .4013 > .01, I fail to reject H0. There is not sufficient evidence to suggest that the shipment should be returned.

12.

When performing a test about means where the population standard deviation is unknown, what distribution would you need to use?

a)

z-test

b)

t-test