WorksheetsTCSHS 4th Quarter Lesson 1. Hypothesis Testing
Total questions: 30
Worksheet time: 21mins
It is also the probability of committing an incorrect decision about the null hypothesis.
Level of error
Level of acceptance
Level of hypothesis
Level of significance
What is the statistical method used in making decisions using experimental data?
Simple analysis
Hypothesis testing
Analytical testing
Experimental testing
Which of the following is a Type I error?
𝐻0 is true; reject 𝐻0.
𝐻0 is true; fail to reject 𝐻0.
𝐻0 is false; reject 𝐻0.
𝐻0 is false; fail to reject 𝐻0.
When is a Type I error committed?
We reject a null hypothesis that is false.
We reject a null hypothesis that is true.
We fail to reject a null hypothesis that is true.
We fail to reject a null hypothesis that is false.
Which of the following would be an appropriate null hypothesis?
The mean of a sample is equal to 75.
The mean of a population is equal to 75.
The mean of a sample is not equal to 75.
The mean of a population is greater than 75.
When is a Type II error committed?
We reject a null hypothesis that is true.
We reject a null hypothesis that is false.
We fail to reject a null hypothesis that is true.
We fail to reject a null hypothesis that is false.
Using a left-tailed test, which of the following value of z falls in the rejection region where the critical value is - 1.725?
- 1.700
- 1.715
- 1.724
- 1.728
Now back to the two claims of Sofia, what do you think should be the type of test in her following claims?
MCQ
MSQ
BLANK
OPEN
MATCH
In a one-tailed test, in which critical value listed below will the computed z of 2.313 fall in the acceptance region?
1.383
2.228
1.533
2.365
What would be the consequence of a Type I error in the setting where a resort owner does a daily water quality test in their swimming pool?
The owner closes the pool when it needs to be closed.
The owner does not close the pool when it needs to be closed.
The owner closes the pool when it does not need to be closed.
The owner does not close the pool when it does not need to be closed.
What would be the consequence of a Type II error in the setting where a resort owner does a daily water quality test in their swimming pool?
The owner closes the pool when it needs to be closed.
The owner closes the pool when it does not need to be closed.
The owner does not close the pool when it does not need to be closed.
The owner does not close the pool when it needs to be closed.
Which of the following describes an alternative hypothesis in a left-tailed test?
𝐻𝑎 > 100
𝐻𝑎 < 100
𝐻𝑎 = 100
𝐻𝑎 ≠ 100
Which of the following describes an alternative hypothesis using two-tailed test?
𝐻𝑎 = 100
𝐻𝑎 > 100
𝐻𝑎 ≠ 100
𝐻𝑎 < 100
What would be the consequence of a Type I error in the context of testing the null hypothesis that an imported solar panel is an effective source of energy?
They do not conclude that the solar panel is effective when it is not actually effective.
They do not conclude that the solar panel is effective when it is actually effective.
They conclude that the solar panel is effective when it is actually effective.
They conclude that the solar panel is effective when it is not actually effective.
What would be the consequence of a Type II error in the context of testing the null hypothesis that an imported solar panel is an effective source of energy?
They do not conclude that the solar panel is effective when it is not actually effective.
They do not conclude that the solar panel is effective when it is actually effective.
They conclude that the solar panel is effective when it is actually effective.
They conclude that the solar panel is effective when it is not actually effective.
Which of the following represents the appropriate null & alternative hypotheses?
The mean height of women is greater than 65"
H₀: μ > 65"
Hₐ: μ ≠ 65"
H₀: μ < 65"
Hₐ: μ > 65"
H₀: p > 65"
Hₐ: p ≠ 65"
H₀: p = 65"
Hₐ: p > 65"
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
Ha = 18.4
Ha > 18.4
Ha < 18.4
Ha ≠ 18.4
A test is made of H0 : µ = 17 versus H1 : µ < 17 is performed using α = 0.01 significance level. The value of the test statistic is z = -2.68 and it is concluded that H0 is rejected.
If the true value of µ is 17, is the conclusion a Type I Error, Type II error, or a correct decision?
Type I
Type II
Correct Decision
A test is made of H0 : µ = 17 versus H1 : µ < 17 is performed using α = 0.01 significance level. The value of the test statistic is z = -2.68 and it is concluded that H0 is rejected.
If the true value of µ is 10, is the conclusion a Type I Error, Type II error, or a correct decision?
Type I
Type II
Correct Decision
A test is made of H0 : µ = 50 versus H1 : µ =/= 50 is performed using α = 0.01 significance level. The value of the test statistic is z = -2.68 and it is concluded that we fail to reject H0 .
If the true value of µ is 65, is the conclusion a Type I Error, Type II error, or a correct decision?
Type I
Type II
Correct Decision
A test is made of H0 : µ = 50 versus H1 : µ =/= 50 is performed using α = 0.01 significance level. The value of the test statistic is z = -2.68 and it is concluded that we fail to reject H0 .
If the true value of µ is 50, is the conclusion a Type I Error, Type II error, or a correct decision?
Type I
Type II
Correct Decision
The null and alternative hypothesis can be the same.
Yes
No
Maybe
All the above
Hypothesis Testing is done for which kind of research study
Qualitative
Quantitative
Both
