Doug randomly sampled 30 weather forecasters from around the country and kept track of how far away the actual high temperature was for a day from their predicted high temperature for the day. (positive values mean that their predicted high was higher than the actual high.) Doug believed that weather forecasteres always predicted temperatures higher than what actually happened because people like warmer temperatures. He obtained a sample mean as 0.8 degrees. His hypothesis were Ho: mean=0 degrees and Ha:mean > 0 degrees. He performed a hypothesis test and obtained a p-value of 0.26. This means:
A. 26% of all random samples of 30 weather forecasters from around the country would give a sample mean of 0.8 degrees or more given that the true man for all weather forecasters around the country is 0 degrees.
B. The probability that the sample mean is 0.8 degrees is 0.26.
C. The probability that the true mean is 0.8 degrees or more is 0.26.
D. The probability that the true mean for all weather forecasters around the country is more than 0 degrees is 0.26.
E. The probability that the true mean for all weather forecasters around the country is 0 degreees is 0.26.