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A laboratory is testing a new vaccine against virus Z. It is administered to 500 subjects...

A laboratory is testing a new vaccine against virus Z. It is administered to 500 subjects (treatment group). Another 500 subjects were selected and given no vaccine (control group). After 5 months, they found that 20 subjects from the treatment group and 70 subjects from the control group were infected with the virus Z.

(A) What's the probability of getting the virus if no vaccine was given? Calculate the confidence interval of the estimate. (Use 95% C.I.)

(B) If the laboratory wants to prove the vaccine reduces the risk of infection, what hypothesis should they use to test it? Calculate the p-value for that hypothesis.

(C) What conclusion can be drawn from the p-value found in part (B)?

*Note: Use two sample proportion hypothesis

Math   Statistics-And-Probability   
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