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Hypothesis Testing

Total questions: 18

Worksheet time: 31mins

Name
Class
Date
1.
Which of the following shows a right-tailed test?
a)
Ha: µ < 15
b)
H0: µ < 15
c)
Ha: µ > 15
d)
H0: µ > 15
2.
In testing hypotheses, which of the following would be strong evidence against the null hypothesis?
a)
using a small level of significance
b)
using a large level of significance
c)
obtaining data with a small p-value
d)
obtaining data with a low test statistic
3.
A P-value indicates:
a)
the probability that the null hypothesis is true
b)
the probability that the alternative hypothesis is true
c)
the probability of obtaining the results (or one more extreme) if the null hypothesis is true
d)
probability of a Type I error
4.

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

5.

When p-value is greater than alpha we:

a)

Reject Ho

b)

Fail to reject Ha

c)

Fail to reject Ho

d)

Reject Ha

6.
Define a Type I error?
a)
The failure to reject a false null hypothesis
b)
Rejecting a true null hypothesis
c)
The acceptance to reject a null hypothesis
d)
Accepting a true null  hypothesis
7.
When do you use a t-value instead of a z-value? 
a)
When n < 30
b)
When n ≥ 30
c)
When all of the planets align
d)
When Ms. O said to
8.

The null and alternative hypothesis can be the same.

a)

Yes

b)

No

c)

Maybe

d)

All the above

9.

H0: μ = k

H1: μ ≠ k

a)

Left-tailed test

b)

Two-tailed test

c)

Right-tailed test

10.

H0: μ = k

H1: μ > k

a)

Left-tailed test

b)

Right-tailed test

11.

A __________ occurs if you accept the null hypothesis when it is false.

a)

Type I error

b)

Type II error

12.

A __________ occurs if you reject the null hypothesis when it is true.

a)

Type I error

b)

Type II error

13.

What is the 5 steps procedure for hypothesis testing?

a)

1) State the hypotheses and identify the claim

2) Find the critical value

3) Compute the test value

4) Summarize the results

5) Make the decision (reject or not reject)

b)

1) State the hypotheses and identify the claim

2) Compute the test value

3) Find the critical value

4) Make the decision (reject or not reject)

5) Summarize the results

c)

1) State the hypotheses and identify the claim

2) Find the critical value

3) Compute the test value

4) Make the decision (reject or not reject)

5) Summarize the results

14.
A level of significance of 5% means:
a)
There's a 5% chance we're wrong
b)
There's a 5% chance we'll be wrong if we fail to reject the null hypothesis
c)
There's a 5% chance we'll be wrong if we reject the null hypothesis.
d)
There's a 5% chance you'll get an A on the test.
15.

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.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

16.

In performing a hypothesis test where the null

hypothesis is that the μ = 6.9. A random sample of 16

items is selected. The sample mean is 7.1 and the sample

standard deviation is 2.4. It can be assumed that the

population is normally distributed at α = .05.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

17.

A fast food outlet claims that the mean waiting time in

line is less than 1.9 minutes. A random sample of 20

customers has a mean of 1.7 minutes with a standard

deviation of 0.8 minute. If α = 0.05, test the fast food

outlet's claim using P-values.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

18.

A fast food outlet claims that the mean waiting time in

line is less than 3.5 minutes. A random sample of 20

customers has a mean of 3.7 minutes with a standard

deviation of 0.8 minute. If α = 0.05, test the fast food

outlet's claim.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha