Fundamentals of Biostatistics
8th Edition
ISBN: 9781305268920
Author: Bernard Rosner
Publisher: Cengage Learning
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Chapter 10, Problem 3P
Answer Problem 10.1 if a one-sided test with power = .8 is used and compliance is perfect.
Consider the Physicians’ Health Study data presented in Example 10.37 (p. 411).
10.1 How many participants need to be enrolled in each group to have a 90% chance of detecting a significant difference using a two-sided test with α = .05 if compliance is perfect?
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Question 9
A well-known brokerage firm executive claimed that 60% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 61% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 60% at the 0.10 significance level.The null and alternative hypothesis would be:
H0:μ≤0.6H0:μ≤0.6H1:μ>0.6H1:μ>0.6
H0:p≥0.6H0:p≥0.6H1:p<0.6H1:p<0.6
H0:p≤0.6H0:p≤0.6H1:p>0.6H1:p>0.6
H0:μ≥0.6H0:μ≥0.6H1:μ<0.6H1:μ<0.6
H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6
H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6
The test is:
left-tailed
right-tailed
two-tailed
The test statistic is: (to 2 decimals)The p-value is: (to 4 decimals)Based on this we:
Fail to reject the null hypothesis
Reject the null hypothesis
Question 17: A well-known brokerage firm executive claimed that 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 81% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 90% at the 0.05 significance level.The null and alternative hypothesis would be:
H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9
H0:μ≤0.9H0:μ≤0.9H1:μ>0.9H1:μ>0.9
H0:μ≥0.9H0:μ≥0.9H1:μ<0.9H1:μ<0.9
H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9
H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9
H0:p≥0.9H0:p≥0.9H1:p<0.9H1:p<0.9
The test is:
two-tailed
right-tailed
left-tailed
The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we:
Fail to reject the null hypothesis
Reject the null hypothesis
QUESTION 12
Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis?
Chapter 10 Solutions
Fundamentals of Biostatistics
Ch. 10.2 - What is a contingency table?Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Answer Problem 10.1 if a one-sided test with power...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Answer Problem 10.4 if compliance is as given in...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Gastroenterology Two drugs (A, B) are compared for...Ch. 10 - Gastroenterology Two drugs (A, B) are compared for...
Ch. 10 - Gastroenterology Two drugs (A, B) are compared for...Ch. 10 - Sexually Transmitted Disease Suppose researchers...Ch. 10 - Cancer A 1980 study investigated the relationship...Ch. 10 - Ophthalmology Retinitis pigmentosa is a disease...Ch. 10 - Pulmonary Disease One important aspect of medical...Ch. 10 - Prob. 24PCh. 10 - Hepatic Disease Refer to Data Set HORMONE.DAT, at...Ch. 10 - Health Services Administration In the Harvard...Ch. 10 - Health Services Administration In the Harvard...Ch. 10 - Orthopedics A study was performed among subjects...Ch. 10 - Prob. 54PCh. 10 - Prob. 55PCh. 10 - Prob. 56PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Cancer A topic of current interest is whether...Ch. 10 - Cancer A topic of current interest is whether...Ch. 10 - Ophthalmology A 5-year study among 601...Ch. 10 - Prob. 74PCh. 10 - Prob. 77PCh. 10 - Prob. 87P
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