Suppose that the proportion of all American adults that fit the medical definition of being obese is 0.23. A large medical clinic would like to determine if the proportion of their patients that are obese is higher than that of all American adults. The clinic takes a simple random sample of 30 of their patients and finds that 9 patients in the sample are obese.
-Based on this p-value, what is your conclusion for the hypothesis test in the context of this problem?
A) There is little to no evidence that more than 23%of all patients at this clinic are obese.
B) There is strong evidence that 23% of all patients at this clinic are obese.
C) There is little to no evidence that more than 30%of all patients at this clinic are obese.
D) There is strong evidence that 30% of all patients at this clinic are obese.

Question

Quizplus · Accepted Answer

The sample proportion of obese patients is 9/30 = 0.30. To test if this is significantly higher than 0.23, a hypothesis test can be conducted. However, with a small sample size of 30, the p-value is likely not small enough to reject the null hypothesis, indicating little to no evidence that the clinic's obesity rate is higher than 23%.

Suppose That the Proportion of All American Adults That Fit