Question

Multiple Choice The government wants to know if billboards promoting the flu shot increases the number...

Multiple Choice

The government wants to know if billboards promoting the flu shot increases the number of people who get the flu shot. They placed 4 billboards in City A for 6 months and no billboards in City B. They then collected data from each city on the # of people who obtained a flu shot in the last 3 months. The statistics for both samples are as follows:

Sample 1: City A

Sample 2: City B

# of flu shots/100 people: 62.13

# of flu shots/100 people: 60.80

Std Dev. (s1):                 15.63

Std Dev. (s1):               18.51

Sample size (n1):         1000

Sample size (n1):         1000

1. Assuming a 2-sided t-test with an alpha of 0.05, what is the p-value which would be used to evaluate if there was a difference in sales?

a) 0.0414

b) 0.0827

c) 0.1740

d) 0.1961


2. Assuming a 2-sided t-test with an alpha of 0.05, is there evidence that the billboard made a difference?

a) Yes the billboard made a difference, reject the null hypothesis

b) Yes the billboard made a difference, fail to reject the null hypothesis

c) No the billboard made no difference, reject the null hypothesis

d) No the billboard made no difference, fail to reject the null hypothesis

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Answer #1

From the given information,

By using p-value calculator,

p-value=0.0827

Hence, option b) is correct.

Here, correct option is,

d) No the billboard made no difference, fail to reject the null hypothesis.

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