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Chapter 9: Q. 60 (page 565)
Which of the following 95% confidence intervals would lead us to reject in favor of at the 5% significance level?
(a) (0.29, 0.38) (c) (0.27, 0.31) (e) None of these
(b) (0.19, 0.27) (d) (0.24, 0.30)
(b) (0.19,0.27)
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Does Friday the have an effect on people's behavior? Researchers collected data on the numbers of shoppers at a sample of different grocery stores on Friday the and Friday the in the same month. The dotplot and computer output below summarize the data on the difference in the number of shoppers at each store on these two days (subtracting in the order minus ).
Researchers would like to carry out a test of versus , where is the true mean difference in the number of grocery shoppers on these two days. Which of the following conditions for performing a paired test is not met?
1. Random
II. Normal
III. Independent
(a) I only
(b) II only
(c) III only
d) I and II only
(e) I, II, and III
A test of against has test statistic z = -1.78.
(a) What conclusion would you draw at the 5% significance level? At the 1% level?
(b) If the alternative hypothesis were , what conclusion would you draw at the 5% significance level? At the 1% level?
The z statistic for a test of H0 :p = 0.4 versus Ha : p > 0.4 is z = 2.43. This test is
(a) not significant at either or .
(b) significant at but not at
(c) significant at but not at .
(d) significant at both and .
(e) inconclusive because we don鈥檛 know the value of 藛p .
You are thinking of conducting a one-sample t-test about a population mean M using a significance level. You suspect that the distribution of the population is not Normal and may be moderately skewed. Which of the following statements is correct?
(a) You should not carry out the test because the population does not have a Normal distribution.
(b) You can safely carry out the test if your sample size is large and there are no outliers.
(c) You can safely carry out the test if there are no outliers, regardless of the sample size.
(d) You can carry out the test only if the population standard deviation is known.
(e) The procedures are robust鈥攜ou can u
Losing weight A Gallup Poll found that 59% of the people in its sample said 鈥淵es鈥� when asked, 鈥淲ould you like to lose weight?鈥� Gallup announced: 鈥淔or
results based on the total sample of national adults, one can say with 95% confidence that the margin of (sampling) error is 魛伅3 percentage points.鈥�16 Can we use this interval to conclude that the actual proportion of U.S. adults who would say they want to lose weight differs from 0.55? Justify your answer.
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