Use the given information to state the conclusion about the null hypothesis H0. Assume a significance level of 0.01. Original​ claim: The percentage of settled medical malpractice suits is.at least 50% The hypothesis test results in a P-value of 0.012.

Respuesta :

Answer: We reject the null hypothesis.

Step-by-step explanation:

Given : Significance level : [tex]\alpha=0.01[/tex]

Let p represents the proportion of the settled medical malpractice suits.

Given claim : The percentage of settled medical malpractice suits is at least 50%.

i.e. [tex]p\geq 0.5[/tex]

Thus,

[tex]H_0:p\geq0.5\\\\H_a:p<0.5[/tex]

We know that when the calculated p-value is less than the significance level ([tex]\alpha[/tex]) then we reject the null hypothesis, if p-value is greater than the significance level ([tex]\alpha[/tex]) then we do not reject.

Now , the calculated value 0.012 is less than the 0.01, so we reject the null hypothesis.