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Chapter 8: Q96SE (page 452)
For two events A and B, suppose ,,Find.
The value of is 0.8.
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Sanitarium administration of malaria cases. One of the most sedate health challenges in India is malaria. Accordingly, the Indian sanitarium director's must-have—the coffers to treat the high volume of admitted malaria cases. A study published in the National Journal of Community Medicine (Vol. 1, 2010) delved into whether the malaria admission rate is more advanced in months than in others. In a sample of 192 sanitarium cases admitted in January, 32 were treated for malaria.
In an independent sample of 403 cases admitted in May (4 months latterly), 34 were treated for malaria.
a. Describe the two populations of stake in this study.
b. Give a point estimate of the contrast in the malaria admission rates in January and May.
c. Find a 90% confidence interval for the contrast in the malaria admission rates in January and May.
d. Based on the interval, part c, can you conclude that contrast exists in the authentic malaria admission rates in January and May? Simplify.
Question: Find the following probabilities for the standard normal random variable z:
Web Check response rates. Response rates to Web checks are generally low, incompletely due to druggies starting but not. I am finishing the check. Survey Methodology (December 2013) delved into the factors that impact response rates. In a designed study, Web druggies were directed to. Share in one of several checks with different formats. For illustration, one format employed a welcome screen with a white background, and another format employed a welcome screen with a red background. The “break-off rates,” i.e., the proportion of tried druggies who break off the check before completing all questions, for the two formats are handed in the table.
White Welcome screen | Red Welcome screen | |
Number of Web users | 198 | 183 |
The number who break off the survey | 49 | 37 |
Break-off rate | .258 | .202 |
Source: R. Haer and N. Meidert, “Does the First Impression Count? Examining the Effect of the Welcome Screen Design on the Response Rate,” Survey Methodology, Vol. 39, No. 2, December 2013 (Table 4.1).
a. Corroborate the values of the break-off rates shown in the table.
b. The experimenters theorize that the true break-off rate for Web druggies of the red hello screen will be lower than the corresponding break-off rate for the white hello screen. Give the null and indispensable suppositions for testing this proposition.
c. Cipher the test statistic for the test.
d. Find the p- the value of the test.
e. Make the applicable conclusion using α = .10.
Forensic analysis of JFK assassination bullets. Following theassassination of President John F. Kennedy (JFK) in 1963, the House Select Committee on Assassinations (HSCA) conducted an official government investigation. The HSCA concluded that although there was a probable conspiracy involving at least one shooter in addition to Lee Harvey Oswald, the additional shooter missed all limousine occupants. A recent analysis of assassination bullet fragments, reported in the Annals of Applied Statistics(Vol. 1, 2007), contradicted these findings, concluding that the evidence used by the HSCA to rule out a second assassin is fundamentally flawed. It is well documented that at least two different bullets were the source of bullet fragments found after the assassination. Let E= {bullet evidence used by the HSCA}, T= {two bullets used in the assassination}, and= {more than two bullets used in the assassination}. Given the evidence (E), which is more likely to have occurred— two bullets used (T) or more than two bullets used ?
a. The researchers demonstrated that the ratio,, is less than 1. Explain why this result supports the theory of more than two bullets used in the assassination of JFK.
b. To obtain the result, part a, the researchers first showed that Demonstrate this equality using Bayes’s Rule.
Question: Refer to the Journal of Business Logistics (Vol. 36, 2015) study of the factors that lead to successful performance-based logistics projects, Exercise 2.45 (p. 95). Recall that the opinions of a sample of Department of Defense (DOD) employees and suppliers were solicited during interviews. Data on years of experience for the 6 commercial suppliers interviewed and the 11 government employees interviewed are listed in the accompanying table. Assume these samples were randomly and independently selected from the populations of DOD employees and commercial suppliers. Consider the following claim: “On average, commercial suppliers of the DOD have less experience than government employees.”
a. Give the null and alternative hypotheses for testing the claim.
b. An XLSTAT printout giving the test results is shown at the bottom of the page. Find and interpret the p-value of the test user.
c. What assumptions about the data are required for the inference, part b, to be valid? Check these assumptions graphically using the data in the PBL file.
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