Question

1) What is the test statistic?

2) What is the p value for your test?

Answer 1

1)  Test statistic:-

A test statistic is a statistic and also a random variable which is calculated from sample data. We used test statistic to determine whether a null hypothesis is rejected or not. The test statistic is also used to calculate the p-value of the test.

Example:-

Test	Statistic
One sample Z-test
One sample T-test
One proportion Z-test
Chi-square test

2)  P-value:-

For a hypothesis testing problem, the p-value is the probability of obtaining test results at least as extreme as the results actually observed during the test, and we assume that the null hypothesis is correct.

i) p-value of a right tailed test:-

where, x = observed value of X.

ii) p-value of a left tailed test:-

where, x = observed value of X.

iii) p-value for a both tailed test:-

And we reject the null hypothesis at level if we get,