Question

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 333 people living in East Vancouver and finds that 40 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 that the true proportion of people who have recently had the flu is greater than 0.05. A test of hypothesis is conducted.

Part i) What is the null hypothesis?

A. The sample proportion of residents who have recently had the flu is greater than 0.05.
B. The sample proportion of residents who who have recently had the flu is lower than 0.05.
C. The true proportion of residents who have recently had the flu is 0.05.
D. The sample proportion of residents who have recently had the flu is 0.05.
E. The true proportion of residents who have recently had the flu is greater than 0.05.
F. The true proportion of residents who have recently had the flu is lower than 0.05.

Part ii) What is the alternative hypothesis?

Answer 1

Answer:

Null hypothesis would be:

C. The true proportion of residents who have recently had the flu is 0.05.

Alternative hypothesis would be:

E. The true proportion of residents who have recently had the flu is greater than 0.05.

Step-by-step explanation:

Hypothesis testing is made to estimate the true population proportion using the sample info.

The purpose is to provide sufficient evidence to support that the true proportion of people who have recently had the flu is greater than 0.05. Therefore null and alternative hypotheses use this proportion.