A certain prescription medicine is supposed to contain an average of 250 parts per million (ppm) of a certain chemical. If the concentration is higher than this, the drug may cause harmful side effects; if it is lower, the drug may be ineffective. The manufacturer runs a check to see if the mean concentration in a large shipment conforms to the target level of 250 ppm or not. A simple random sample of 100 portions is tested, and the sample mean concentration is found to be 247 ppm. The sample concentration standard deviation is s = 12 ppm. Suppose that the p-value was 0.0259. What is the appropriate conclusion to make if α = 0.05? Group of answer choices Fail to reject H0. We have insufficient evidence to conclude that the mean concentration is different from 250 ppm. Fail to reject H0. We have sufficient evidence to conclude that the mean concentration is less than 250 ppm. Reject H0. We have insufficient evidence to conclude that the mean concentration is less than 250 ppm. Reject H0. We have sufficient evidence to conclude that the mean concentration is different from 250 ppm.
A certain prescription medicine is supposed to contain an average of 250 parts per million (ppm) of a certain chemical. If the concentration is higher than this, the drug may cause harmful side effects; if it is lower, the drug may be ineffective. The manufacturer runs a check to see if the mean concentration in a large shipment conforms to the target level of 250 ppm or not. A simple random sample of 100 portions is tested, and the sample mean concentration is found to be 247 ppm. The sample concentration standard deviation is s = 12 ppm.
Suppose that the p-value was 0.0259. What is the appropriate conclusion to make if α = 0.05?
Fail to reject H0. We have insufficient evidence to conclude that the mean concentration is different from 250 ppm.
Fail to reject H0. We have sufficient evidence to conclude that the mean concentration is less than 250 ppm.
Reject H0. We have insufficient evidence to conclude that the mean concentration is less than 250 ppm.
Reject H0. We have sufficient evidence to conclude that the mean concentration is different from 250 ppm.
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