Answer:
The correct choice is (C).
Step-by-step explanation:
The p-value is defined as the probability, under the null hypothesis (H₀), of obtaining a result that is equal to or greater than the actual observed result in a statistical hypothesis test.
A small p-value (usually ≤ 0.05) indicates strong evidence against the null hypothesis (H₀), resulting in its rejection.
A larger p-value (> 0.05) indicates weak evidence against H₀, which leads to failure in rejecting the null hypothesis.
A nutritionist has concerns that the actual average calorie content of the french fries served at a fast-food restaurant exceeds 120 calories.
The testable hypothesis can be stated as:
H₀: The actual average calorie count in the french fries is 120 calories, meaning μ = 120.
Hₐ: The average calorie count in the french fries exceeds 120 calories, meaning μ > 120.
The statistical test is as follows:
The average calorie count among the 35 sampled small orders of fries is:
Consequently, the p-value is:
p-value = 0.00093
<pthis>p-value represents the probability of achieving a sample mean of 155.6 calories or higher when the population mean is 120 calories.In summary,
The interpretation of the p-value can also include the probability of observing a mean of 84.4 calories or less when the population mean is established at 120 calories.
*
*Given the symmetry of the normal distribution, P(Z < -z) = P(Z > z).
Thus,
Therefore, the appropriate choice is (C).
</pthis>