18 Questions
What is the null hypothesis in the given one-sample t-test?
H0: μ = 81.6
What is the conclusion if the computed value is less than the critical value in a right-tailed test?
Do not reject the null hypothesis
What does it mean when we reject the null hypothesis?
There is enough evidence against the null hypothesis
What is the consequence of rejecting a true null hypothesis?
Type I error
What is the purpose of the critical value in a hypothesis test?
To compare with the test statistic
What is the meaning of failing to reject the null hypothesis?
There is not enough evidence to support the alternative hypothesis
What is the alternative to rejecting the null hypothesis in a hypothesis test?
Failing to reject the null hypothesis
What is the critical value used for in a hypothesis test?
To determine the rejection region
What is the risk of committing a Type I error in a hypothesis test?
Rejecting the null hypothesis when it is true
What is the next step after formulating the hypotheses in a hypothesis test?
Choose the level of significance
What is the purpose of the test statistic in a hypothesis test?
To compare with the critical value
In a two-tailed test with α = 0.05, what is the critical value?
z = ±1.65
What occurs when a false null hypothesis is not rejected?
A Type II error
What is the critical value in a hypothesis test?
The boundary between the critical and non-critical regions
What is the result of rejecting a true null hypothesis?
A Type I error
What is the purpose of the test statistic in a hypothesis test?
To determine whether to reject or fail to reject the null hypothesis
What is the alternative hypothesis in a test where the mean height of women is greater than 64 inches?
Hₐ: μ > 64
What is the final step in the hypothesis testing procedure?
Draw a conclusion about the population
Test your understanding of hypothesis testing with this quiz on one-sample t-tests, null and alternative hypotheses, and statistical inference. Practice problems include calculating sample means and standard deviations, and determining the correct hypotheses.
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