Question

The bull and alternative hypothesis are given. Determine whether the hypothesis test is left tailed, right tailed, or two tailed and the parameter that is being used.

1. Ho : p = 0.82 H1 : p < 0.82

A. Two-tailed, p
B. Right-tailed,p
C. Left-tailed, p

Answer 1

Solution :

Given :

H₀ : p = 0.82 Vs H₁ : p < 0.82

Null hypothesis is always equal type.

Alternative hypothesis is either less than type or greater than type or not equal to type.

If an alternative hypothesis is less than type then it is left tailed test.

If it is greater than type then it is right tailed test.

If it is not equal to type then it is two tailed test.

Since given alternative hypothesis is less than type, thus given test left tailed test.

The parameter is proportion p.

Thus correct answer is:

C. Left tailed, p.