In a random sample of n = 200 patients, the proportion cured by a new drug was p = 120/200 = 0.6. We would like to determine with 90% confidence whether this provides sufficient evidence that, in the long run, the cure rate of the new drug would be higher than the 51% cure rate of the old drug. That is, we want to: Test Ho: p = 0.51 New drug is no better than the old drug. Versus Ha: p > 0.51 New drug is better than the old drug. Use all digits showing on your calculator in your intermediate calculations but show only the indicated number of digits to the right of the decimal point in your final answer. (a) Critical value from the z table: (b) Test statistic:| (c)Conclusion: O A. Fail to reject Ho. Sample does not provide enough evidence to say that the new drug is better than the old. B. Reject Ho with 90% confidence and conclude that the new drug is better than the old. (d) p-value: Because the p-value is less than 0.01, the sample provides strong evidence that the new drug is better than the old.
In a random sample of n = 200 patients, the proportion cured by a new drug was p = 120/200 = 0.6. We would like to determine with 90% confidence whether this provides sufficient evidence that, in the long run, the cure rate of the new drug would be higher than the 51% cure rate of the old drug. That is, we want to: Test Ho: p = 0.51 New drug is no better than the old drug. Versus Ha: p > 0.51 New drug is better than the old drug. Use all digits showing on your calculator in your intermediate calculations but show only the indicated number of digits to the right of the decimal point in your final answer. (a) Critical value from the z table: (b) Test statistic:| (c)Conclusion: O A. Fail to reject Ho. Sample does not provide enough evidence to say that the new drug is better than the old. B. Reject Ho with 90% confidence and conclude that the new drug is better than the old. (d) p-value: Because the p-value is less than 0.01, the sample provides strong evidence that the new drug is better than the old.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 55E: Conditional probability About 25 of the population watches the evening television news coverage as...
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