A local health clinic sent fliers to its clients to encourag

A local health clinic sent fliers to its clients to encourage everyone, but especially older persons at high risk of complications, to get a flue shot in time for protection against an expected flu epidemic. In a pilot follow-up study, 160 clients were randomly selected and asked whether they actually received a flu shot. In addition, data was collected on their health awareness, which was combined into a health awareness index, for which higher values indicate greater awareness.

The estimated logistic regression model is log(pi hat/(1-pi hat)) = -2.397 + 0.0472*(health awareness index)

where pi hat is the estimated probability that the client received a flu shot.

1) The best interpretation of the slope term is:

A.)The odds of receiving a flu shot increase by 1.048 for every 1 unit increase in health awareness index.

B.)The odds of receiving a flu shot increase by 0.0472 for every 1 unit increase in health awareness index.    

C.)The probability of receiving a flu shot is multiplied by 1.048 for every 1 unit increase in health awareness index.

D.)The probability of receiving a flu shot increases by 1.048 for every 1 unit increase in health awareness index.

E.)The probability of receiving a flu shot increases by 0.0472 for every 1 unit increase in health awareness index.

F.)The probability of receiving a flu shot is multiplied by 0.0472 for every 1 unit increase in health awareness index.

G.)The odds of receiving a flu shot are multiplied by 1.048 for every 1 unit increase health awareness index.

H.)The odds of receiving a flu shot are multiplied by 0.0472 for every 1 unit increase in health awareness index.

2.) What are the odds that a client receives a flu shot if their health awareness index is 62?


3) What is the estimated probability that a client receives a flu shot if their health awareness index is 62?


4) Estimate the health awareness index at which 59% of all clients receive a flu shot.


5) Estimate the health awareness index at which the odds of receiving a flu shot are 3 to 2.


6) The researchers wish to perform a hypothesis test to determine if there is age is a significant predictor in the logistic model. What hypotheses should they test?
    Note: You only have one submission for this problem.

7) The p-value for the hypothesis test specified in part E is 0.015. Based on this, the best conclusion the researchers can make at the = 0.05 level is:
    Note: You only have one submission for this problem.

A.) There is not a linear relationship between health awareness index and whether a flu shot was received.

B.) There is not a relationship between health awareness index and whether a flu shot was received.    

C.)There is not a logistic relationship between health awareness index and whether a flu shot was received.

D.)There is a relationship between health awareness index and whether a flu shot was received.

E.)There is a logistic relationship between health awareness index and whether a flu shot was received.

F.)There is a linear relationship between health awareness index and whether a flu shot was received.

Solution

1)

The odds of receiving a flu shot increase by 0.0472 for every 1 unit increase in health awareness index.    

Correct option is (B).