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 $1.77$. What is the correct conclusion?

Suppose you conduct a hypothesis test and your p-value is equal to $0.02$. What can you conclude if your significance level is $0.05$?

Which of the following is not a conclusion of the central limit theorem?

Which of the following is not true for a hypothesis test for correlation?

Suppose you are conducting a lab experiment to compare the means of two independent groups with approximately normal distributions and unknown but equal variances. Which of the following statistical tests should you use?

Which of the following is typically the first step in hypothesis testing?

Which of the following would be an appropriate null hypothesis in a hypothesis testing scenario?

Which of the following statements about Type I error is correct?

Which of the following is not a condition that must be checked when estimating the mean $\mu$ of a population?

Which of the following is an essential step in the process of hypothesis testing?

Which of the following is NOT assumed before starting an $ANOVA$ test?

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

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

Writing Hypotheses: Backpack Manufacturer A backpack manufacturer claims that the mean life of its competitor’s backpacks is less than 5 years. You are asked to perform a hypothesis test to test this claim. How would you write the null and alternative hypotheses when

a. you represent the manufacturer and want to support the claim?

Which of the following is not a principle of making inferences from dependent samples?