Chapter 8: Q. 9.54 (page 370)
Which provides stronger evidence against the null hypothesis, a P-value of or a P-value of ?Explain your answer.
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Chapter 8: Q. 9.54 (page 370)
Which provides stronger evidence against the null hypothesis, a P-value of or a P-value of ?Explain your answer.
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Testing Hypotheses. In Exercises 13鈥24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.
Is the Diet Practical? When 40 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 lb (based on data from 鈥淐omparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Reduction,鈥 by Dansinger et al., Journal of the American Medical Association, Vol. 293, No. 1). Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0. Based on these results, does the diet appear to have statistical significance? Does the diet appear to have practical significance?
P-Values. In Exercises 17鈥20, do the following:
a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.
b. Find the P-value. (See Figure 8-3 on page 364.)
c. Using a significance level of = 0.05, should we reject or should we fail to reject ?
The test statistic of z = -1.94 is obtained when testing the claim that .
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 Body Temperatures The claim is that for 12 am body temperatures, the mean is .The sample size is n = 4 and the test statistic is t = -2.503.
In Exercises 9鈥12, refer to the exercise identified. Make subjective estimates to decide whether results are significantly low or significantly high, then state a conclusion about the original claim. For example, if the claim is that a coin favours heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favours heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).
Exercise 5 鈥淥nline Data鈥
Testing Hypotheses. In Exercises 13鈥24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.
Speed Dating Data Set 18 鈥淪peed Dating鈥 in Appendix B includes 鈥渁ttractive鈥 ratings of male dates made by the female dates. The summary statistics are n = 199, x = 6.19, s = 1.99. Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 7.00.
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