Reference no: EM132399728

Suppose that you set up the hypothesis test: H 0 : μ ≤ 800 ; H 1 : μ > 800

Given the population standard deviation, the sample size of 59 and the sample mean of 879, you calculate the value of the test statistic LaTeX: z_{bar x} z x ¯ and determine the p-value = 0.017 for the test. This p-value means that

A. if the population mean was equal to 800, then there is a 1.7% probability of obtaining the sample mean of 879 or lower in the sample of 59 observations.

B.if the population mean was equal to 800, then there is a 1.7% probability of obtaining the sample mean of 879 or greater in the sample of 59 observations.

C. there is a 1.7% probability that the population mean is below 800.

D. there is a 1.7% probability that the population mean is above 800.