10. Correct. The answer is true

 

We should decide between the hypotheses:

H0: σ = 0.25

H1: σ >0.25.

           

The value of χ2 for the sample is χ 2=ns2 2 =30*0.322/0.252=49.15.

 

Using a one-tailed test we would reject H0 at a 0.05 level of significance if the sample value of χ2 were greater than χ20.95, which equals 42.56 for n=30-1=29. Thus we reject H0 at a 5% level of significance.