A weight loss centre in the city provided a weight loss for 152 out of 200 participants.A weight loss centre in the suburb provided a weight loss for 109 out of 140 participants.
A)P-value = 0.6892; If there is no difference in the proportions,there is about a 68.92% chance of seeing the observed difference or larger by natural sampling variation.
B)P-value = 0.6892; There is about a 68.92% chance that the two proportions are equal.
C)P-value = 0.3446; If there is no difference in the proportions,there is about a 34.46% chance of seeing the observed difference or larger by natural sampling variation.
D)P-value = 0.3446; There is about a 34.46% chance that the two proportions are equal.
E)P-value = 0.6554; If there is no difference in the proportions,there is about a 65.54% chance of seeing the observed difference or larger by natural sampling variation.

Question

Quizplus · Accepted Answer

CThe p-value in hypothesis testing does not directly tell us the probability that the two proportions are equal. Instead, it indicates the probability of observing the data (or something more extreme) assuming the null hypothesis is true. Choice A correctly describes the meaning of a p-value (though the specific value given is hypothetical and not calculated from the provided data), and choice C correctly interprets the p-value in the context of hypothesis testing, albeit with a different hypothetical value.

A Weight Loss Centre in the City Provided a Weight