On average,what value is expected for the t statistic when the null hypothesis is true?
A)0
B)1
C)1.96
D)t 1.96

Question

On average,what value is expected for the t statistic when the null hypothesis is true?​
A)0​
B)​1
C)​1.96
D)​t > 1.96

Quizplus · Accepted Answer

When the null hypothesis is true, we expect the sample mean to be equal to the hypothesized population mean, and the standard error to be equal to the population standard deviation divided by the square root of the sample size. In this case, the t statistic will be equal to (sample mean - hypothesized population mean)/standard error, which simplifies to (sample mean - hypothesized population mean)/0. Since division by zero is undefined, the t statistic will be 0 when the null hypothesis is true.

On Average,what Value Is Expected for the T Statistic When