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In cutaneous melanoma, about 6% exhibit the MEK gene mutation. In a sample of 162 patients, 9 exhibited the MEK mutation. What conclusion can be
In cutaneous melanoma, about 6% exhibit the MEK gene mutation. In a sample of 162 patients, 9 exhibited the MEK mutation. What conclusion can be made from these results? We need to know that the sample size is less than 5% of the population size. Since the proportions of melanoma with the MEK mutation is 6%, we do not have less than 5% of the population in the sample. The sample proportion is 0.056 which means 5.6 in 100 will have the mutation. The population proportion is 6 in 100. The probability of 5.6 is 10% which means this sample in not likely different from the population. There is not enough information to process this problem. Without knowing the population standard deviation, we cannot calculate the probability of getting 9 out of 162 patients having the MEK mutation. Since np(1-p) is less than 10, we are unable to use the normal approximation for this problem. We cannot safely conclude, even though 0.056 is very close to 0.06, that the sample is
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