In a right tailed test the value of the test statistic is 1

In a right - tailed test, the value of the test statistic is 1.5. If we know the test statistic follows a Student’s t - distribution with P( T < 1.5) = 0. 96 , then we fail to reject the null hypothesis at 0. 05 level of significance

Solution

Since the P-value P( T < 1.5) = 0. 96, is greater than 0.05, So we fail to reject the null hypothesis at 0. 05 level of significance.

Hence the given statement is true.