9. Hypothesis Testing for One Sample

If the $H_0$ (null hypothesis) is rejected in hypothesis testing, which of the following is true?

Suppose you conduct a hypothesis test and your p-value is equal to $0.016$. What can you conclude if your significance level is $0.05$?

Which of the following is not true about $p$-values in hypothesis testing?

Finding Critical Values and Rejection Regions In Exercises 23–28, find the critical value(s) and rejection region(s) for the type of z-test with level of significance α. Include a graph with your answer.

Right-tailed test, α = 0.08

Suppose you conduct a two-tailed hypothesis test at the $5\%$ significance level and obtain a test statistic of $1.41$. What is the correct conclusion?

Which of the following is an accurate definition of a Type ${\mathrm{II}}_{}$ error in hypothesis testing?

Which of the following statements is true about using a hypothesis in your data presentation?

Which of the following best defines a Type $I^{}$ error in hypothesis testing?

In the context of hypothesis testing, which of the following is a reason that data may be considered unreliable?

Questions 6–10 refer to the sample data in the following table, which describes the fate of the passengers and crew aboard the Titanic when it sank on April 15, 1912. Assume that the data are a sample from a large population and we want to use a 0.05 significance level to test the claim that surviving is independent of whether the person is a man, woman, boy, or girl.

Given that the P-value for the hypothesis test is 0.000 when rounded to three decimal places, what do you conclude? What do the results indicate about the rule that women and children should be the first to be saved?

In hypothesis testing for a population mean, which symbol typically represents the test statistic used to evaluate the null hypothesis?

Which of the following is an assumption required to use the two-sample test of means ($t$-test for independent samples)?

When conducting a significance test in practice, how should you choose the $\alpha$ level?

Which of the following is the formula for the test statistic used in a test of paired samples?

Which one of the following statements is true about a $2-\mathrm{sample} t-\mathrm{test}$?