Question
In: Statistics and Probability
A high-risk group of 656 male volunteers was included in a major clinical trial for testing...
| A high-risk group of 656 male volunteers was included in a
major clinical trial for testing a new vaccine for type B
hepatitis. The vaccine was given to 339 persons randomly selected
from the group, and the others were injected with a neutral
substance (placebo). 10 of the vaccinated people and 40 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 1% 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. |
Solutions
orchestra answered 3 years agoRelated Solutions
A high-risk group of 710 male volunteers was included in a major clinical trial for testing...
A high-risk group of 710 male volunteers was included in a
major clinical trial for testing a new vaccine for type B
hepatitis. The vaccine was given to 403 persons randomly selected
from the group, and the others were injected with a neutral
substance (placebo). 19 of the vaccinated people and 31 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...
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Patient
ID
Body weight (lb)
Drug group
Placebo group
1
6.9
6.4
2
7.6
6.7
3
7.3
5.4
4
7.6
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5
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Nonfatal
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No Heart
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Telmisartan only
598
431
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603
400
7573
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1255
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ModifyingAbove p with caret p1,
ModifyingAbove q with caret q1,
n2
ModifyingAbove p with caret...
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