WorksheetsUnit 6 Part 4 Intro to Significance Tests
Total questions: 17
Worksheet time: 34mins
The mean height of women is greater than 64"
Hₐ: μ ≠ 64"
Hₐ: μ > 64"
Hₐ: p ≠ 64"
Hₐ: p > 64"
What is the alternative hypothesis?
Ho: p = .39
Ho: p < .39
Ho: p > .39
Ho: p ≠ .39
What is the null hypothesis
Ho: p = .39
Ho: p < .39
Ho: p > .39
Ho: p ≠ .39
What is the parameter?
p is the true proportion of elementary students who want a career helping others
n is 128 children
p is the mean number of children asked
Fail to Reject the Ho
When p-value is greater than alpha we:
Reject Ho
Fail to reject Ha
Fail to reject Ho
Reject Ha
The symbol for the significance level is ____.
α
θ
π
μ
If p-value < α , then the sample is unusual if the null is correct, so we ______ the null and have convincing evidence that the alternative is true, and the results are ___________.
fail to reject, statistically significant
reject, statistically significant
fail to reject, not statistically significant
reject, not statistically significant
Small p-values mean that our sample was very unlikely if the null hypothesis is true. Therefore, small p-values are ________________ that the null hypothesis is wrong.
convincing evidence
believable proof
reliable information
justifiable inference
When performing a significance test, we're looking for convincing evidence to __________ the null hypothesis in favor of the alternative hypothesis.
refute
dispute
reject
accept
Some people say that more babies are born in September than in any other month. To test this claim, you take a simple random sample of 150 students at your school and find that 21 of them were born in September. You are interested in whether the proportion born in September is higher than 1/12—what you would expect if September was no different from any other month. Thus your null hypothesis is H0: p= 1/12. The P-value for your test is 0.0056. Which of the following
statements best describes what the P-value measures?
The probability that September birthdays are no more common that any other month is 0.0056.
The probability that September birthdays are more common is 0.0056
The probability that the proportion of September birthdays in the population is not equal to 1/12 is 0.0056
0.0056 is the probability of getting a sample with a proportion of September birthdays this far or farther above 1/12 if the true proportion is 1/12
0.0056 is the probability of getting a sample with a proportion of September birthdays this close to 1/12 if the true proportion is not 1/12
The mean time it takes for a person to experience pain relief from aspirin is 25 minutes. A new ingredient is added to help speed up relief. Let µ denote the mean time to obtain pain relief with the new product. An experiment is conducted to verify if the new product works more quickly. What are the null and alternative hypotheses for the appropriate test of significance?
H0 : µ = 25 vs. Ha : µ ≠ 25
H0 : µ = 25 vs. Ha : µ < 25
H0 : µ < 25 vs. Ha : µ = 25
H0 : µ < 25 vs. Ha : µ > 25
H0 : µ = 25 vs. Ha : µ > 25
A test of H0: µ=60 versus Ha: µ≠60 produces a sample mean of x-bar = 58 and a P-value of 0.04. At an α = 0.05 level, which of the following is an appropriate conclusion?
There is sufficient evidence to conclude that µ < 60.
There is sufficient evidence to conclude that µ = 60.
There is insufficient evidence to conclude that µ = 60.
There is insufficient evidence to conclude that µ ≠ 60
There is sufficient evidence to conclude that µ ≠ 60.
Identify the correct null hypothesis:
Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.
H0: p = 0.50
H0: µ = 100
H0: p = 0.48
H0: µ = 96
