Question

a fast-food restaurant claims that a small order of french fries contains 120 calories. a nutritionist is concerned that the true average calorie count is higher than that. the nutritionist randomly selects 35 small orders of french fries and determines their calories. the resulting sample mean is 155.6 calories, and the p-value for the hypothesis test is 0.00093. which of the following is a correct interpretation of the p-value?

Answer 1

Explanation:

The p-value in this context is the probability of obtaining a sample mean of 155.6 calories or more extreme, assuming that the true average calorie count is actually 120. A small p-value indicates that the observed sample mean is unlikely to have occurred by chance alone if the null hypothesis (that the true average calorie count is 120) were true.

In this case, the p-value is very small (0.00093), which suggests that the observed sample mean of 155.6 calories is very unlikely to have occurred by chance alone if the true average calorie count is actually 120. Therefore, we have strong evidence to reject the null hypothesis and conclude that the true average calorie count is likely higher than 120.

To summarize, a correct interpretation of the p-value in this context is that it provides evidence against the null hypothesis and supports the alternative hypothesis that the true average calorie count is higher than 120.