The graph below shows six different curves labeled A–F. Each curve shows the rel

Question

The graph below shows six different curves labeled A–F. Each curve shows the relationship between the p-value (y -axis) and the distance p (x -axis) for testing the null hypothesis H0: = 0.50 . (3 pts)

Match each curve A–F with one of the descriptions:

A)Sample size is n=25 , alternative hypothesis is right-sided: > ½

B)Sample size is n=225 , alternative hypothesis is right-sided: > ½.

C)Sample size is n=25 , alternative hypothesis is left-sided: < ½.

D)Sample size is n=225 , alternative hypothesis is left-sided: < ½.

E)Sample size is n=25 , alternative hypothesis is two-sided: ½.

F)Sample size is n=225 , alternative hypothesis is two-sided: ½.

Explanation / Answer

Curve A is for right-tailed test but margin of error is small, i.e. sample size is large. Hence Curve will match with Option(B): Sample size is n=225 , alternative hypothesis is right-sided: > ½..

Curve B is for left-tailed test but margin of error is small, i.e. sample size is large. Hence Curve will match with Option(D): Sample size is n=225 , alternative hypothesis is left-sided: < ½..

Curve C is for left-tailed test but margin of error is large, i.e. sample size is small. Hence Curve will match with Option(C): Sample size is n=25 , alternative hypothesis is left-sided: < ½.

Curve D is for right-tailed test but margin of error is large, i.e. sample size is small. Hence Curve will match with Option(A): Sample size is n=25 , alternative hypothesis is right-sided: > ½.

Curve E is for two-tailed test but the length of the interval and margin of error are small. Hence Curve will match with Option(F): Sample size is n=225 , alternative hypothesis is two-sided: ½..

Curve F is for two-tailed test but the length of the interval and margin of error are large. Hence Curve will match with Option(E): Sample size is n=25 , alternative hypothesis is two-sided: ½..

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