Question

The following hypotheses are given. H0 : π ≤ 0.70 H1 : π > 0.70 A sample of 100 observations revealed that p = 0.75. At the 0.05 significance level, can the null hypothesis be rejected?

Answer 1

The null hypothesis can't be rejected.

Explanation:

Given information:

Null hypothesis:

H₀ : π ≤ 0.70

Alternative hypothesis:

H₁ : π > 0.70

We need to check whether the null hypothesis is rejected or accepted.

If P-value < α, then we reject the null hypothesis H₀.

If P-value ≥ α, then we accept the null hypothesis H₀.

A sample of 100 observations revealed that p = 0.75 at the 0.05 significance level.

Here 0.75>0.05, it means p > α, therefore we can not reject the null hypothesis.