Question

"Given the obtained statistic is t=-1.2, alpha = 0.05, 1 tail (Sample < pop). There were 21 subjects. What is the decision?"

		Reject Alternative Hypothesis
		Reject Null Hypothesis
		Retain Alternative Hypothesis
		Retain Null Hypothesis

Answer 1

Answer:-

Given that:-

test statistic , t= -1.2 $\alpha$ =0.05

one tailed $\Rightarrow$ population > sampled

(left tailed)

Orla

n=21

The critical value for t, for one tailed, degree of freedom , n-1= 21-1=20

$\alpha=0.05,t_{20,0.05}=1.7247$

$\Rightarrow t=-1.2>t_{c}=-1.72$

$\therefore t>t_{c},$ do not reject the null hypothesis i.e., Retain Null hypothesis ,

D) Retain Null hypothesis , Option is correct answer.