Free Printable 2-1 Hypothesis Testing

1.

A random sample of 60 Grade 9 students were subjected to a new teaching strategy. The sampled students made an average of 84 in a quiz. Can it be concluded that the score of the respondents is different from the score of the primary study which is 82 with a deviation of 8?

Identify the null hypothesis.

a)

$H_0:\ \mu\ =\ 82$

b)

$H_0:\ \mu\ \ne\ 82$

c)

$H_0:\ \mu\ <\ 82$

d)

$H_0:\ \mu\ >\ 82$

2.

A random sample of 60 Grade 9 students were subjected to a new teaching strategy. The sampled students made an average of 84 in a quiz. Can it be concluded that the score of the respondents is different from the score of the primary study which is 82 with a deviation of 8?

Identify the alternative hypothesis.

a)

$H_1:\ \mu\ =\ 82$

b)

$H_1:\ \mu\ \ne\ 82$

c)

$H_1:\ \mu\ <\ 82$

d)

$H_1:\ \mu\ >\ 82$

3.

It is claimed that the average monthly income of chemical engineers last year was 27,900php. A random sample of 35 chemical engineers is selected and it is found out that the average monthly salary is 28,000. Using 0.01 level of significance, can it be concluded that there is an increase in the average monthly income of chemical engineers? Assume that the population standard deviation is 250.50.

Identify the null hypothesis.

a)

$H_0:\ \mu\ =\ 27,900$

b)

$H_0:\ \mu\ >\ 27,900$

c)

$H_0:\ \mu\ =\ 28,000$

d)

$H_0:\ \mu\ <\ 28,000$

4.

It is claimed that the average monthly income of chemical engineers last year was 27,900php. A random sample of 35 chemical engineers is selected and it is found out that the average monthly salary is 28,000. Using 0.01 level of significance, can it be concluded that there is an increase in the average monthly income of chemical engineers? Assume that the population standard deviation is 250.50.

Identify the alternative hypothesis.

a)

$H_0:\ \mu\ =\ 27,900$

b)

$H_0:\ \mu\ >\ 27,900$

c)

$H_0:\ \mu\ =\ 28,000$

d)

$H_0:\ \mu\ <\ 28,000$

5.

It is a statistical method applied in making decisions using experimental data. Hypothesis testing is basically testing an assumption that we make about a population.

a)

conclusion

b)

hypothesis testing

c)

hypothesis

d)

proposition

6.

It is a proposed explanation, assertion, or assumption about a population parameter or about the distribution of a random variable.

a)

hypothesis

b)

hypothesis testing

c)

conclusion

d)

proposition

7.

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

8.

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"

9.

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?

a)

H₀ = 18.4
H_a = 18.4

b)

H₀ = 18.4
H_a > 18.4

c)

H₀ = 18.4
H_a < 18.4

d)

H₀ = 18.4
H_a ≠ 18.4

10.

The null and alternative hypothesis can be the same.

a)

Yes

b)

No

c)

Maybe

d)

All the above

11.

What is the decision if:

$z_{\text{computed}}<z_{\text{critical}}$

a)

Reject $H_0$

b)

Do not reject $H_0$

12.

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

13.

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

14.

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

a)

Type I error

b)

Type II error

15.

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

a)

Type I error

b)

Type II error

16.

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.

17.

This assumes that there is no change, no difference, no relationship, or the independent variable has no effect on the dependent variable.

a)

Null hypothesis

b)

Alternative hypothesis

c)

Test statistic

d)

Hypothesis testing

18.

There are at most ___________ possible critical regions in a hypothesis testing.

a)

one

b)

two

c)

three

d)

four

19.

It is the center of the normal curve.

a)

mean

b)

standard deviation

c)

variance

d)

proportion

20.

The decision made to the null hypothesis when the test statistic computed value lies in the critical region.

a)

Fail to reject Ho.

b)

Accept Ho.

c)

Reject Ho.

d)

Do not support Ho.

2-1 Hypothesis Testing

Total questions: 20

Worksheet time: 34mins

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