State your conclusion to the hypothesis test. In the initial test of the Salk va

Question

State your conclusion to the hypothesis test. In the initial test of the Salk vaccine for polio, 400,000 children were selected and divided into two groups of 200,000. One group was vaccinated with the Salk vaccine while the second group was vaccinated with a placebo. Of those vaccinated with the Salk vaccine, 33 later developed polio. Of those receiving the placebo, 115 later developed polio. Test the claim that the Salk vaccine is effective in lowering the polio rate. Use alpha = 0.01. State the conclusion. There is sufficient evidence to suggest that the average number of people who were diagnosed with Polio was reduced by taking the Salk vaccine. There is insufficient evidence to suggest that the proportion of people who were diagnosed with Polio was reduced by taking the Salk vaccine. We cannot reject the null hypothesis at the 1% level of significance. There is sufficient evidence to suggest that the proportion of people who were diagnosed with Polio was reduced by taking the Salk vaccine.

Explanation / Answer

Ans: D (there is a sufficent evidence to suggest the proporation of people)

explain

first we will verify with ho and ha

H0:p(s)=p(pl)

Ha:p(s)<p(pl)

now we will verify with test statstic and p value

the test statistic is
p=0.00037
sd =6.08164X...
T=(115/200000-33/200000)/(6.08164X 10^-5)
=6.742

p value is very near to 0.

so finally it is very strong evidence that the Salk vaccine is associated with a
reduction in polio cases.

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