Question

People prefer to use the median as an estimator for the population mean because it is more efficient than the sample mean. True or False

The p-value of a test is the probability of obtaining the test statistic or a value more extreme if the null hypothesis is true, and it is NOT the same as the level of significance of an hypothesis test. True or False

Answer 1

A) people prefer median as an estimator for the population mean becouse it is more efficient than sample mean.

The statement is FALSE , because sample mean is efficient than median.

Median is efficient than sample mean only when the data is skewed.

B) the p-value of the test is the probablity of obtaining the test statistic or value more extreme if the null hypothesis is true and it is not same as the level of significance of an hypothesis test.

The statement is TRUE

This is the definition of p-value.

Level of significance is assumed before the test using domain knowledge.

And the p-value is observed level of significance after the test,

Hence p-value and the level of significance are not the same.