9. Hypothesis Testing for One Sample

Suppose you conduct a two-tailed hypothesis test at the $5\%$ significance level and obtain a test statistic of $-2.12$. Which of the following best describes the result of the test?

Which of the following is NOT a condition or assumption required for the one-sample t inference for the mean $\mu$ of a population?

True or False? In Exercises 5–10, determine whether the statement is true or false. If it is false, rewrite it as a true statement.

In a hypothesis test, you assume the alternative hypothesis is true.

Which of the following is not a criterion for making a decision in a hypothesis test?

Suppose we run a statistical test. Which of the following is the correct first step in the process of hypothesis testing?

In the context of hypothesis testing, what are the two possible decisions you can make after analyzing the sample data?

Suppose you conduct a two-tailed hypothesis test at the $5\%$ significance level and obtain a test statistic of $1.34$. What is the correct conclusion?

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?

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?

In Exercises 7–10, state the null and alternative hypotheses and identify which represents the claim,

An energy bar maker claims that the mean number of grams of carbohydrates in one bar is less than 25.

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

Sitting Heights The sitting height of a person is the vertical distance between the sitting surface and the top of the head. The following table lists sitting heights (mm) of randomly selected U.S. Army personnel collected as part of the ANSUR II study. Using the data with a 0.05 significance level, what do you conclude? Are the results as you would expect?