Question

Imagine that you are a government official in a local health department, in charge of an immunization program that provides free immunizations to all uninsured children in your county. The County Board of Supervisors (which is in charge of all county health care related matters, and funds your department) has asked you to justify your program's budget by demonstrating that your program has made significant progress over the past two years, increasing the immunization rates of low-income children in the county. You have baseline data from three years ago that shows the average immunization rate for children ages 0-17 was 65%. How would you demonstrate now that low-income children in your county on average have a significantly higher immunization rate than the baseline?

Answer 1

Question asked:

You have baseline data from three years ago that shows the average immunization rate for children ages 0-17 was 65%. How would you demonstrate now that low-income children in your county on average have a significantly higher immunization rate than the baseline?

Step 1:

Let N be the total number of low-income children ages 0-17 in the county.

Step 2:

Obtain Sample Size = n by statistical methods.

Step 3:

From the sample collected,calculate the sample statistics:

Sample Mean =

Sample Standard Deviation = s

Step 4:

Conduct 1 Sample t test (One Tailed: Right Side) as follows:
H0: Null Hypothesis: P 0.65 (The low-income children in your county on average do not have a significantly higher immunization rate than the baseline)

HA: Alternative Hypothesis: P > 0.65 (The low-income children in your county on average have a significantly higher immunization rate than the baseline) (Claim)

If the calculated value of t is less than critical value of t, the difference is not significant. Fail to reject null hypothesis.

Conclusion:
The data do not support the claim that the low-income children in your county on average have a significantly higher immunization rate than the baseline.

If the calculated value of t is greater than critical value of t, the difference is significant. Reject null hypothesis.

Conclusion:
The data support the claim that the low-income children in your county on average have a significantly higher immunization rate than the baseline.