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 probability of receiving a flu shot increases by 0.04 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 probability of receiving a flu shot is multiplied by 0.04 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 are multiplied by 0.04 for every 1 unit increase in health awareness index.

The odds of receiving a flu shot increase by 0.04 for every 1 unit increase in health awareness index.

The odds of receiving a flu shot increase by 1.041 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 59?


C) What is the estimated probability that a client receives a flu shot if their health awareness index is 59?


D) Estimate the health awareness index at which 42% of all clients receive a flu shot.


E) Estimate the health awareness index at which the odds of receiving a flu shot are 1 to 3.


E) 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.


F) The p-value for the hypothesis test specified in part E is 0.02. 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 a 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 logistic 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.

There is not a linear 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.

Solution

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 f

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