9. Hypothesis Testing for One Sample

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

Finding a P-Value In Exercises 13–18, find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H0 for the level of significance alpha.

Left-tailed test

z=-1.68

alpha=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?

Appendix B Data Sets

In Exercises 13–16, use the data in Appendix B to test for rank correlation with a 0.05 significance level.

Taxis Refer to Data Set 32 “Taxis” in Appendix B and use the distances (miles) and tip amounts (dollars) of all of the rides. Is there sufficient evidence to support the claim that there is a correlation between the distance of the ride and the tip amount? Does it appear that riders base their tips on the distance of the ride?

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?

Runs Test with Quantitative Data In Exercises 21–23, use the following information to perform a runs test. You can also use the runs test for randomness with quantitative data. First, calculate the median. Then assign a + sign to those values above the median and a - sign to those values below the median. Ignore any values that are equal to the median. Use α = 0.05

Use technology to generate a sequence of 30 numbers from 1 to 99, inclusive. Test the claim that the sequence of numbers is not random.

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?