Question

Consider a lower tail test at the  α =0.10 significance level with the test statistic =-1.941 and degrees of freedom df=15

a) use the critical value approach to decide weather to reject ho

b) consider the p-value approach to decide weather to reject ho

Answer 1

Solution :

Given that ,

= 0.10

test statistics = -1.941

df = 15

(a)

Critical value = -1.341

Test statistics > Critical value

Reject the null hypothesis .

(b)

P(t₁₅ < -1.941) = 0.0356

P-value = 0.0356

P-value < 0.10

Reject the null hypothesis