Which of the following statements is CORRECT?
(A) If a significance test results in a P-value of 4%, then the likelihood that the Null hypothesis is correct is 4%.
(B) If we perform a two-sample z-test on the averages for two simple random samples from two separate populations, then the smaller the P-value, the lower the level of statistical significance of the observed difference.
(C) Based on a random sample of 100 families, we estimate the average rent paid by residents of Hanover is $2,000, with a standard error of $100. This means that roughly 95% of families pay a rent in the range $1,800-$2,200.
(D) If we draw a simple random sample of 1,000 families from the population of a large city, and calculate the average and SD of the family incomes in our sample, then we have enough information to determine a 95% confidence interval for the average family income in the city.
(E) Except for this one, none of the other statements listed here are correct.