Question

One pharmaceutical company claims their flu vaccine reduces the risk of illness by 40%. One political pundit believes that the real percentage is less. He does a study and the conclusion of the statistical test is to reject the null hypnosis. According to the CDC recent studies show that flu vaccinations reduce the risk of illness by between 40% and 60%. Given this information answer the following questions.

(a) State the null hypothesis as a mathematical statement.

(b) State the alternative hypothesis as a mathematical statement. (c)Was a correct decision made? Why or why not?

(d) If an error was made state what type of error. If no error was made state ”correct decision”.

Answer 1

Answer:-

Given That:-

One pharmaceutical company claims their flu vaccine reduces the risk of illness by 40%. One political pundit believes that the real percentage is less. He does a study and the conclusion of the statistical test is to reject the null hypnosis. According to the CDC recent studies show that flu vaccinations reduce the risk of illness by between 40% and 60%. Given this information answer the following questions.

P=percentage by which flu vaccine reduce risk of illness

(a) State the null hypothesis as a mathematical statement.

The null hypothesis as a mathematical statement.

(percentage is max than equal to 40%)

(b) State the alternative hypothesis as a mathematical statement.

The alternative hypothesis as a mathematical statement.

(percentage is less than 40%)

(c)Was a correct decision made? Why or why not?

He Reject .

i.e., he accepted that percentage was less than 40%

Correct decision was not made because studies shows that p is greater than 40% but for pundit he accepts it is less than 40%

Not correct decision

(d) If an error was made state what type of error. If no error was made state ”correct decision”.

=(Reject true)

Type I error is made

(As the rejected when it is actually true)