An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 360 people living in East Vancouver and finds that 42 have recently had the flu. The epidemiologist will recommend East Vancouver as a location for one of the vaccination programs if her sample data provide sufficient evidence to support the hypothesis that the true proportion of people who have recently had the flu is greater than 0.06. A test of hypothesis is conducted. What is the null hypothesis? A. The true proportion of residents who have recently had the flu is greater than 0.06. B. The sample proportion of residents who have recently had the flu is greater than 0.06. C. The true proportion of residents who have recently had the flu is 0.06. D. The sample proportion of residents who have recently had the flu is 0.06. What is the alternative hypothesis? A. The true proportion of residents who have recently had the flu is greater than 0.06. B. The sample proportion of residents who have recently had the flu is lower than 0.06. C. The true proportion of residents who have recently had the flu is lower than 0.06. D. The sample proportion of residents who have recently had the flu is greater than 0.06. The P-value for the test is smaller than 0.0001. At 1% significance level, the decision is to? A. reject that the true proportion of residents who have recently had the flu is greater than 0.06. B. reject the true proportion of residents who have recently had the flu is 0.06. C. accept the true proportion of residents who have recently had the flu is lower 0.06. D. accept the true proportion of residents who have recently had the flu is 0.06.

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Author:Amos Gilat
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An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 360 people living in East Vancouver and finds that 42 have recently had the flu. The epidemiologist will recommend East Vancouver as a location for one of the vaccination programs if her sample data provide sufficient evidence to support the hypothesis that the true proportion of people who have recently had the flu is greater than 0.06. A test of hypothesis is conducted.

What is the null hypothesis?
A. The true proportion of residents who have recently had the flu is greater than 0.06.
B. The sample proportion of residents who have recently had the flu is greater than 0.06.
C. The true proportion of residents who have recently had the flu is 0.06.
D. The sample proportion of residents who have recently had the flu is 0.06.

What is the alternative hypothesis?
A. The true proportion of residents who have recently had the flu is greater than 0.06.
B. The sample proportion of residents who have recently had the flu is lower than 0.06.
C. The true proportion of residents who have recently had the flu is lower than 0.06.
D. The sample proportion of residents who have recently had the flu is greater than 0.06.

The P-value for the test is smaller than 0.0001. At 1% significance level, the decision is to?
A. reject that the true proportion of residents who have recently had the flu is greater than 0.06.
B. reject the true proportion of residents who have recently had the flu is 0.06.
C. accept the true proportion of residents who have recently had the flu is lower 0.06.
D. accept the true proportion of residents who have recently had the flu is 0.06.

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