Construct the 99% confidence interval estimate of the population proportion p if the sample size is n=900 and the number of successes in the sample is x=333. Use the Agrest-Coull method.

An 99% confidence interval  of the given proportion

(0.355 , 0.385)

Step-by-step explanation:

Given sample size n= 900

the number of successes in the sample is x=333

The proportion P =

            Q = 1-P =1 - 0.37 = 0.63

Confidence interval:-

99% of confidence interval zα = 2.93

(0.37 - 0.015 , 0.37 + 0.015)

(0.355 , 0.385)

Conclusion:-

An 99% Confidence interval (0.355 , 0.385)

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.