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A Hypothesis Test Is to Be Performed 8%8 \% the Manufacturer of a Flu Vaccine Claims That Those

Question 78

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A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the givensituation.
-During one flu epidemic the proportion of adults nationwide who have come down with the flu is 8%8 \% . The manufacturer of a flu vaccine claims that those who have been vaccinated are less likely to catch the flu.
The hypotheses are as follows:
Null hypothesis: proportion of those vaccinated catching the flu =8%= 8 \%
Alternative hypothesis: proportion of those vaccinated catching the flu <8%< 8 \%


A) Rejecting the null hypothesis means there is evidence that the proportion of those vaccinated catching the flu is not equal to 8%8 \%
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of those vaccinated catching the flu is equal to 8%8 \% .
B) Rejecting the null hypothesis means there is evidence that the proportion of those vaccinated catching the flu is less than 8%8 \%
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of those vaccinated catching the flu is less than 8%8 \% .
C) Rejecting the null hypothesis means there is insufficient evidence that the proportion of those vaccinated catching the flu is equal to 8%8 \%
Accepting the null hypothesis means there is evidence to conclude that the proportion of those vaccinated catching the flu is equal to 8%8 \% .
D) Rejecting the null hypothesis means there is evidence that the proportion of those vaccinated catching the flu is less than 8%8 \%
Accepting the null hypothesis means there is evidence to conclude that the proportion of those vaccinated catching the flu is equal to 8%8 \% .

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