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Chapter 8: Q2 (page 396)
df If we are using the sample data from Exercise 1 for a t-test of the claim that the population mean is greater than 90sec, What does df denote, and what is its value?
The degrees of freedom of the data denote the number of independent observations in it. The value is 11.
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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.
Medication Usage In a survey of 3005 adults aged 57 through 85 years, it was found that 87.1% of them used at least one prescription medication (based on data from 鈥淯se of Prescription Over-the-Counter Medications and Dietary SupplementsAmong Older Adultsin the United States,鈥� by Qato et al., Journal of the American Medical Association,Vol. 300,No. 24). Use a 0.01 significance level to test the claim that more than 3/4 of adults use at least one prescription medication. Does the rate of prescription use among adults appear to be high?
Finding P-values. In Exercises 5鈥�8, either use technology to find the P-value or use Table A-3 to find a range of values for the P-value.
Airport Data Speeds: The claim that for Verizon data speeds at airports, the mean. The sample size is and the test statistic is
t =-1.625 .
In Exercises 1鈥�4, use these results from a USA Today survey in which 510 people chose to respond to this question that was posted on the USA Today website: 鈥淪hould Americans replace passwords with biometric security (fingerprints, etc)?鈥� Among the respondents, 53% said 鈥測es.鈥� We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security.
Equivalence of Methods If we use the same significance level to conduct the hypothesis test using the P-value method, the critical value method, and a confidence interval, which method is not equivalent to the other two?
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 standard deviation of pulse rates of adult males is more than 11 bpm. The hypothesis test results in a P-value of 0.3045.
Hypothesis Test with Known How do the results from Exercise 13 鈥淐ourse Evaluations鈥� change if is known to be 0.53? Does the knowledge of have much of an effect?
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