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A high-risk group of 754 male volunteers was included in a major clinical trial for testing a new vaccine for type B hepatitis. The vaccine was given to 375 persons randomly selected from the group, and the others were injected with a neutral substance (placebo). 6 of the vaccinated people and 37 of the nonvaccinated ones later got the disease.
We wish to test the hypothesis that the probability of getting type B hepatitis is different (higher or lower) for people who were vaccinated compared with people who were not, using the 10% significance level.
(a) If we use the contingency table method to test this hypothesis, find the 4 values in the expected table.
(b) Find the value of the test statistic (using the contingency table method).
(c) Find the critical value (using the contingency table method).
(d) Using the z-test for proportions, find the value of the test statistic (and verify that z2 = χ2, when there is one degree of freedom).
(e) Find the p-value.
Determine the probability that between 5 and 10 minutes will pass between successive occurrences.
Write a computer program to simulate the queue in Exercise 20. Have your program keep track of the proportion of the time that the queue length is j for j = 0, 1, . . . , n and the average queue length. Show that the behavior of the queue length i..
1. Hobbes uses a weather analogy to illustrate the concept of the 'war of all against all.' What does the analogy tell us about conflict in the 'state of nature'?
A medical supplies company buys its supplies in bulk and redistributes them to doctor's offices and clinics. The receive thermometers in lots of 500 from the vendor. They are considering a sampling plan of n=50 and c=1.
relationship between GRE total scores and GPAs
(probability that person has college degree is p = 0.30). If N adults are randomly selected, find probabilities that
Crime-related and demographic statistics for 47 US states in 1960 were collected from government agencies, including the FBI's Uniform Crime Report.
if a random variable can take on a measurable infinite number of values such as a persons weight height or temperature
question 1suppose the value of investment properties is normally distributed witha mean of 550000 and a standard
Compute the 3.9% confidence interval on the mean. Which confidence interval is more practical and useful in a business situation? Why?
Using six-step critical value approach, at the 0.05 level of significance, is there evidence that population mean delivery time has been increased below previous population mean value of 25 minutes?
Assuming that n = 6 for both samples, calculate each of the sample variances, then calculate the pooled variance. Because the samples are the same size, you should find that the pooled variance is exactly halfway between the two sample variances.
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