Refer to the previous exercise about the study of the relationship between sleep apnea and hypertension.

a. State the appropriate null and alternative hypotheses in words.

b. Explain why it would be okay to use the theory-based method to find a p-value for this study.

c. Use an appropriate applet (for example, the Multiple Proportions applet) to find and report the following from the data.

• The name of the statistic and its numeric value

• The theory-based p-value

d. Interpret the p-value in the context of the study.

e. State a complete conclusion about this study, including significance, causation, and generalization. Be sure to explain how you are arriving at your conclusion.

f. If relevant, use an applet to find and report a set of confidence intervals appropriate for the context. Also, interpret the confidence intervals in the context of the study. If not relevant, explain why it is not particularly useful to look at confidence intervals for the parameter(s) of interest in the context of this study.

Data from previous exercise

In a study of the relationship between sleep apnea and hypertension (New England Journal of Medicine, 2000), researchers Peppard et al. categorized the participants by the severity of sleep apnea at the beginning of the study, and four years later recorded whether or not the participant had hypertension. Here is the table of the summarized data:

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Severity of sleep apnea Not Somewhat Severe Very Total Yes 32 142 63 40 277 Severe hypertension? No 155 365 69 27 616 Total 187 507 132 267 893