[Q7: Only answer if you ABSOLUTELY know how to solve AND the answers match up ((

Question

[Q7: Only answer if you ABSOLUTELY know how to solve AND the answers match up ((tired of getting wrong replies.) So, please make sure you’re really certain. It’s appreciated.)

Really Explain EACH STEP, including any formulas you used (& how to use the formula), and explain how to compute with a TI-84 preferably/when possible.]

Suppose you work for a pharmaceutical company that is testing a new drug to treat ulcerative colitis. You conduct a random sample of 35 patients on the new drug and 16 of them indicated a decrease in symptoms since starting the drug regimen. You construct a 95% confidence interval for this proportion to be ( 0.2921 , 0.6222 ). What is the correct interpretation of this confidence interval?

Question 7 options:

1)

We are 95% confident that the proportion of patients surveyed that have experienced a reduction in symptoms is between 0.2921 and 0.6222.

2)

We are certain that 95% of patients will be between 0.2921 and 0.6222.

3)

We are 95% confident that the proportion of patients who should be on this drug is between 0.2921 and 0.6222.

4)

We cannot determine the proper interpretation of this interval.

5)

We are 95% confident that the proportion of all patients on the drug regimen that have experienced a reduction in symptoms is between 0.2921 and 0.6222.

1)

We are 95% confident that the proportion of patients surveyed that have experienced a reduction in symptoms is between 0.2921 and 0.6222.

2)

We are certain that 95% of patients will be between 0.2921 and 0.6222.

3)

We are 95% confident that the proportion of patients who should be on this drug is between 0.2921 and 0.6222.

4)

We cannot determine the proper interpretation of this interval.

5)

We are 95% confident that the proportion of all patients on the drug regimen that have experienced a reduction in symptoms is between 0.2921 and 0.6222.

Explanation / Answer

A confidence interval is not a probability. Nor does it say anything about the sample. It says a lot about the population.

In this case, the answer is "We are 95% confident that the proportion of all patients on the drug regimen that have experienced a reduction in symptoms is between 0.2921 and 0.6222"

Option (5) is the answer.

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