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? the population mean is 120 calories, the p-value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more.

A) If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or less.

B) If the population mean is 120 calories, the p-value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more, or a sample mean of 84.4 calories or less. C) If the population mean is 155.6 calories, the p-value of 0.00093 is the probability of observing a sample mean of 120 calories or more.

D) If the population mean is 155.6 calories, the p-value of 0.00093 is the probability of observing a sample mean of 120 calories or less.

Answer 1

P - value is the probability of obtaining result as extreme as the observed results of a statistical hypothesis test assuming that the null hypothesis is correct. The p- value is used as an alternative to rejection point to provide the smallest level of significance at which Null hypothesis would be rejected. A smaller p- value means that there is stronger evidence in favour of the alternative hypothesis.

According to question

Null hypothesis; H0:mu=120 (in calories)

Vs Alternative hypothesis;H1: mu >120

Since here the p- value is much smaller so, we reject the null hypothesis and thus we have stronger evidence that mean calories is more than 120 i.e.155.6

Therefore, option c is correct.