WorksheetsHypothesis testing
Total questions: 20
Worksheet time: 7mins
Which of the following represents the appropriate null & alternative hypotheses?
The mean height of women is greater than 64"
H₀: μ > 64"
Hₐ: μ ≠ 64"
H₀: μ < 64"
Hₐ: μ > 64"
H₀: p > 64"
Hₐ: p ≠ 64"
H₀: p = 64"
Hₐ: p > 64"
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
A mayor is concerned about the percentage of city residents who express disapproval of his job performance. His political committee pays for a newspaper ad, hoping to keep his disapproval rating below 21%. They will use a follow up poll to access effectiveness. What are the correct null and alternative hypotheses?
Ho: μ > 21
Ha: μ < 21
Ho: p > .20
Ha: p < .20
Ho: p < .21
Ha: p > .21
Ho: p > .21
Ha: p < .21
Ha = 18.4
Ha > 18.4
Ha < 18.4
Ha ≠ 18.4
When do you use a t-value instead of a z-value?
When n < 30
When n ≥ 30
When all of the planets align
When the teacher says so
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
Ha = 47
Ha < 47
Ha > 47
Ha ≠ 47
At the Chrysler manufacturing plant, there is a part that is supposed to weigh precisely 19 pounds. The engineers take a sample of parts and want to know if they meet the weight specifications. What are our null and alternative hypotheses?
Ho : μ = 17, Ha : μ ≠ 19
Ho : μ = 19, Ha : μ ≠ 19
Ho : μ = 19, Ha : μ ≠ 17
Ho : μ = 17, Ha : μ ≠ 17
Use the notation to state the alternative hypothesis and null hypothesis: "Less than 4% of high school students take Statistics."
Ho : X ≥ 4% and H1 : X > 4%
Ho : X ≤ 4% and H1 : X < 4%
Ho : X ≥ 4% and H1 : X < 4%
Ho : X > 4% and H1 : X ≤ 4%
The null and alternative hypothesis can be the same.
Yes
No
Maybe
All the above
