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Chapter 8: Q. 9.68 (page 370)
Determine the sufficient evidence to reject the null hypothesis in favor of alternative hypothesis.
(a) z= 1.24 (b) z= -0.69
(a) The P-value is 0.107488
(b) The P-value is 0.754903
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Interpreting Power For the sample data in Example 1 鈥淎dult Sleep鈥� from this section, Minitab and StatCrunch show that the hypothesis test has power of 0.4943 of supporting the claim that hours of sleep when the actual population mean is 6.0 hours of sleep. Interpret this value of the power, then identify the value of and interpret that value. (For the t test in this section, a 鈥渘oncentrality parameter鈥� makes calculations of power much more complicated than the process described in Section 8-1, so software is recommended for power calculations.)
Final Conclusions. In Exercises 25鈥�28, use a significance level of = 0.05 and use the given information for the following:
a. State a conclusion about the null hypothesis. (Reject or fail to reject .)
b. Without using technical terms or symbols, state a final conclusion that addresses the original claim.
Original claim: The mean pulse rate (in beats per minute) of adult males is 72 bpm. The hypothesis test results in a P-value of 0.0095.
Critical Values. In Exercises 21鈥�24, refer to the information in the given exercise and do the following.
a. Find the critical value(s).
b. Using a significance level of = 0.05, should we reject or should we fail to reject ?
Exercise 20
Video Games: Checking Requirements Twelve different video games showing alcohol use were observed. The duration times of alcohol use were recorded, with the times (seconds) listed below (based on data from 鈥渃ontent and rating of Teen-Rated Video Games,鈥� by Haninger and Thompson, journal of the American Medical Association, Vol.291, No.7). What requirements must be satisfied to test the claim that the sample is from a population with a mean greater than 90 sec? Are the requirements all satisfied?
84 14 583 50 0 57 207 43 178 0 2 57
Testing Claims About Proportions. In Exercises 9鈥�32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section.
Touch Therapy Repeat the preceding exercise using a 0.01 significance level. Does the conclusion change?
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