What are the two types of hypotheses used in a hypothesis test?
answer
null and alternative
question
How are null and alternative hypothesis related?
answer
They are complements.
question
A null hypothesis, Upper H 0, is a
answer
statistical hypothesis that contains a statement of equality
question
The alternative hypothesis, Ha, is the
answer
complement of the null hypothesis
question
According to a recent survey, 24% of college students own a credit card.
Write the claim as a mathematical statement.
answer
p = 0.24
question
Choose the correct null and alternative hypotheses below.
answer
Upper H 0: p = 0.24
Upper H Subscript a: p not equals 0.24
question
Identify which is the claim.
answer
The null hypothesis Upper H 0: p=0.24 is the claim.
question
Explain how to decide when a normal distribution can be used to approximate a binomial distribution.
answer
If np ≥ 5 and nq ≥ 5, the normal distribution can be used.
question
What are the two decisions that you can make from performing a hypothesis test?
answer
Fail to reject the null hypothesis
Reject the null hypothisis
question
In a hypothesis test, you assume the alternative hypothesis is true.
answer
False. In a hypothesis test, you assume the null hypothesis is true.
question
A large P-value in a test will favor a rejection of the null hypothesis.
answer
False, a small p-value supports rejecting the null hypothesis.
question
If you want to support a claim, write it as your null hypothesis.
answer
False. If you want to support a claim, write is as your alternative hypothesis.
question
Right-tailed test
answer
A one-tailed test in which the sample outcome is hypothesized to be at the right tail of the sampling distribution.
question
Left-tailed test
answer
A one-tailed test in which the sample outcome is hypothesized to be at the left tail of the sampling distribution.
question
Two-tailed test
answer
A hypothesis test in which rejection of the null hypothesis occurs for values of the test statistic in either tail of its sampling distribution.
question
A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is more than 7 hours.
Write the claim as a mathematical statement.
answer
μ > 7
question
A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is more than 7 hours.
Choose the correct null and alternative hypotheses below.
answer
Ho = μ ≤ 7
Ha = μ > 7
question
A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is more than 7 hours.
Identify which is the claim.
answer
The alternative hypothesis Ha: μ > 7 is the claim.
question
The standard deviation of the base price of a certain type of all-terrain vehicle is equal to $338.
Write the claim as a mathematical statement.
answer
σ = 338
question
The standard deviation of the base price of a certain type of all-terrain vehicle is equal to $338.
Choose the correct null and alternative hypotheses below.
answer
Ho = σ = 338
Ha = σ ≠ 338
question
The standard deviation of the base price of a certain type of all-terrain vehicle is equal to $338.
Identify which is the claim.
answer
The null hypothesis Ho = σ = 338
question
An amusement park claims that the mean daily attendence at the park is 22,000
Write the claim as a mathematical statement.
answer
μ = 22,000
question
An amusement park claims that the mean daily attendence at the park is 22,000
Choose the correct null and alternative hypotheses below.
answer
Ho = μ = 22,000
Ha = μ ≠ 22,000
question
An amusement park claims that the mean daily attendence at the park is 22,000
Identify which is the claim.
answer
The null hypothesis Ho = μ = 338
question
A company claims that its brands of paint have a mean drying time of more than 10 minutes.
Write the claim as a mathematical statement.
answer
μ > 10
question
A company claims that its brands of paint have a mean drying time of more than 10 minutes.
Choose the correct null and alternative hypotheses below.
answer
Ho = μ ≤ 10
Ha = μ > 10
question
A company claims that its brands of paint have a mean drying time of more than 10 minutes.
Identify which is the claim.
answer
The alternative hypothesis Ha = μ > 10
question
Describe the type I error and the type II error for a hypothesis tests of the given claim.
The proportion of settled medical malpractice suits is 0.26.
Which of the following is a type I error?
answer
Reject the claim that the proportion of settled malpractice suits is 0.26 when the proportion is actually 0.26.
question
Describe the type I error and the type II error for a hypothesis tests of the given claim.
The proportion of settled medical malpractice suits is 0.26.
Which of the following is a type II error?
answer
Fail to reject the claim that the proportion of settled malpractice suits is 0.26 when the proportion is actually different from 0.26.
question
Identify the type I error and the type II error for a hypothesis test of the indicated claim.
The percentage of households with Internet access is less than 60 %.
Identify the type I error.
answer
Reject the null hypothesis that the percentage of households with Internet access is greater than or equal to 60 % when it is actually true.
question
Identify the type I error and the type II error for a hypothesis test of the indicated claim.
The percentage of households with Internet access is less than 60 %.
Identify the type II error
answer
Fail to reject the null hypothesis that the percentage of households with Internet access is greater than or equal to 60 % when it is actually false.
question
A null hypothesis is rejected with a level of significance of 0.05. Is it also rejected with a level of significance of 0.10? Explain.
answer
Yes, the claim would be rejected because the P-value would be less than 0.10.
question
Explain the difference between the z-test for μ using rejection region(s) and the z-test for μ using a P-value.
answer
In the z-test using rejection region(s), the test statistic is compared with critical values. The z-test using a P-value compares the P-value with the level of significance α.
A rejection region (or critical region) of the sampling distribution is the range of values for which the null hypothesis is not probable. A critical value z0 separates the rejection region from the nonrejection region. To use a rejection region to conduct a z-test, calculate the standardized test statistic z. If the standardized test statistic is in the rejection region, then reject H0. If the standardized test statistic is not in the rejection region, then fail to reject H0.
To use a P-value to make a conclusion in a hypothesis test, compare the P-value with α. If P ≤ α, then reject H0. If P > α, then fail to reject H0.
question
In hypothesis testing, does choosing between the critical value method or the P-value method affect your conclusion? Explain.
answer
No, because both involve comparing the test statistic's probability with the level of significance
Haven't found what you need?
Search for quizzes and test answers now
Quizzes.studymoose.com uses cookies. By continuing you agree to our cookie policy