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

The odds of receiving a flu shot increase by 0.0401 for every 1 unit increase in health awareness index.

The probability of receiving a flu shot increases by 0.0401 for every 1 unit increase in health awareness index.    

The odds of receiving a flu shot are multiplied by 1.041 for every 1 unit increase health awareness index.

The odds of receiving a flu shot increase by 1.041 for every 1 unit increase in health awareness index.

The probability of receiving a flu shot is multiplied by 0.0401 for every 1 unit increase in health awareness index.

The probability of receiving a flu shot is multiplied by 1.041 for every 1 unit increase in health awareness index.

The probability of receiving a flu shot increases by 1.041 for every 1 unit increase in health awareness index.

The odds of receiving a flu shot are multiplied by 0.0401 for every 1 unit increase in health awareness index.

B) What are the odds that a client receives a flu shot if their health awareness index is 44?


C) What is the estimated probability that a client receives a flu shot if their health awareness index is 44?


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


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


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

F) The p-value for the hypothesis test specified in part E is 0.0012. 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.

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

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

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

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

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

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

Solution

A.) The odds of receiving a flu shot increase by 0.0401 for every 1 unit increase in health awareness index.

B.) Odds of receiving a flu shot = -2.453 + 0.0401×44

= -0.6886

C.) log(/(1-)) = -0.6886

/(1-) = e^(-0.6886)

. = e^(-0.6886)/(1 + e^-0.6886)

= 0.3343

E.) H0: beta =0

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