Suppose a 95 confidence interval for turns out to be 1000 2

. Suppose a 95% confidence interval for turns out to be (1,000, 2,100). Interpret the interval.

A) If many different samples (of the size used to construct the above interval) were selected and based on each sample, a confidence interval were constructed, 95% of the time the value of m would lie between 1,000 and 2,100.

B) The method used to get the interval from 1,000 to 2,100, when used on infinitely many random samples of the same size from the same population, produces intervals which include the population mean in 95% of the intervals.

C) 95% of the observations in the entire population fall in the given interval.

D) 95% of the observations in the sample fall in the given interval.

A test of H₀: m = 0 versus H_a: m> 0 is conducted on the same population independently by two different researchers. They both use the same sample size and the same value of a = 0.05. Which of the following will have to be the same for both researchers?

A) The p-value of the test.

B) The power of the test if m = 6.

C) The value of the test statistic.

D) The decision about whether or not to reject the null hypothesis

Solution

I)
B) The method used to get the interval from 1,000 to 2,100, when used on infinitely many random samples of the same size from the same population, produces intervals which include the population mean in 95% of the intervals.
II)
C) The value of the test statistic.
Because there is nothing to do with the formula in change of left to two tailed test