Medical scientists study the effect of acute infection on tissue-specific immunity. in a collection of experiments under the same conditions, 44 of 75 mice test positive for lymphadenopathy. compute a 95% confidence interval for the true proportion of mice that will test positive under similar conditions.

The 95% confidence interval  for the true proportion of mice that will test positive under similar conditions is (0.5291, 0.6429).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval , we have the following confidence interval of proportions.

In which

Z is the zscore that has a pvalue of .

For this problem, we have that:

In a collection of experiments under the same conditions, 44 of 75 mice test positive for lymphadenopathy. This means that and .

Compute a 95% confidence interval for the true proportion of mice that will test positive under similar conditions.

So , z is the value of Z that has a pvalue of , so .

The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval  for the true proportion of mice that will test positive under similar conditions is (0.5291, 0.6429).

(x+3)(x+7)

step-by-step explanation: