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Chapter 9: Q R9.6 (page 615)

Flu vaccine Refer to ExerciseR9.5. Of the 1000 adults who were given the vaccine, 43 got the flu. Do these data provide convincing evidence to support the company鈥檚 claim?

Short Answer

Expert verified

There is not sufficient evidence to support the claim.

Step by step solution

01

Step 1:Given information

No of adults(x):1000

No of peoples got flu(n):43

02

Step 2:Calculation

So finding out the hypotheses:

H0:p=5%=0.05

Ha=p<0.05

The sample proportion is the no. of successes divided by the sample size:

p=xn=431000=0.043

Determine the value of test statistic:

z=p^-popo1-pon

z=0.043-0.050.05(1-0.05)1000

z鈮�-1.02

P- value is the probability of obtaining the value of test statistic, or a value more extreme.

For determining theP- value in tableA:

P=P(z<-1.02)=0.1539

If the P - value smaller than the significance level, reject the null hypothesis:

P>0.05, thus fails to reject theH0.

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