If $$ H_{0}: \mu \geq 20, H_{a}: \mu

Question

If $$ H_{0}: \mu \geq 20, H_{a}: \mu<20 $$ and $$ \alpha=0.01 $$ and p -value $$ =0.425 $$ then we reject Null hypotheses

UpStudy AI · Accepted Answer

1. The null hypothesis is $$ H_0: \mu \geq 20 $$ and the alternative hypothesis is $$ H_a: \mu < 20 $$.

2. The significance level is given as $$ \alpha = 0.01 $$.

3. The p-value for the test is $$ 0.425 $$.

4. The decision rule states that we reject $$ H_0 $$ if the p-value is less than $$ \alpha $$; that is, if $$ 	ext{p-value} < \alpha $$.

5. Since $$ 0.425 > 0.01 $$, the condition for rejecting $$ H_0 $$ is not satisfied.

6. Therefore, we fail to reject $$ H_0 $$ and do not have sufficient evidence to support $$ H_a $$.
We do not reject the null hypothesis.

If and and p -value then we reject
Null hypotheses