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

question 78

Multiple Choice

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 $8 \%$ . 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 $= 8 \%$
Alternative hypothesis: proportion of those vaccinated catching the flu $< 8 \%$

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

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