题目
单项选择题
A survey claims that 7 out of 10 doctors recommend aspirin for their patients with headaches. To test this claim against the alternative that the actual proportion of doctors who recommend aspirin is less than 0.7, a random sample of 120 doctors was selected. 77 out of the 120 doctors sampled recommended aspirin. Suppose the test statistic does not fall in the rejection region at α = 0.05. Which of the following conclusions is correct?
选项
A.The proportion of doctors who recommend aspirin is less than 0.70
B.The proportion of doctors who recommend aspirin is not less than 0.70
C.The proportion of doctors who recommend aspirin is greater than 0.70
D.The proportion of doctors who recommend aspirin is equal to 0.70
E.The proportion of doctors who recommend aspirin is not greater than 0.70
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标准答案
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思路分析
We start by identifying the hypotheses and the data provided. The claim to test is that the true proportion p is less than 0.70 (alternative hypothesis). The null hypothesis is p = 0.70. The data: sample size n = 120, number of doctors recommending aspirin x = 77, so the sample proportion phat = 77/120 ≈ 0.6417.
Option 1: 'The proportion of doctors who recommend aspirin is less than 0.70'
This would be the direct conclusion if the evidence against H0 was strong......Login to view full explanation登录即可查看完整答案
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