Investigators at an agricultural research facility randomly assigned equal numbers of chickens to be housed in two rooms. In one room, the chickens experienced normal day/night cycles, while in the other room lights were left on 24 hours a day to see if those chickens would lay more eggs. After collecting data for several days the researchers tested the hypothesis $\mathrm { H } _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0$ against the one-tail alternative and found $P = 0.22$. Which is true?
A) The chickens in the lighted room averaged 0.22 more eggs per day
B) There's a 22% chance that there's really no difference in egg production.
C) There's a 22% chance another experiment will give these same results.
D) There's a 22% chance that chickens housed in a lighted room produce more eggs.
E) none of these

Question

Quizplus · Accepted Answer

The p-value of 0.22 indicates that there is a 22% probability of observing the data, or something more extreme, assuming the null hypothesis is true. It does not directly provide probabilities about the hypotheses themselves or future experiments.

Investigators at an Agricultural Research Facility Randomly Assigned Equal Numbers H0:μ1−μ2=0\mathrm { H } _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0H0​:μ1​−μ2​=0

Investigators at an Agricultural Research Facility Randomly Assigned Equal Numbers $\mathrm { H } _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0$