Aresearcher would like to estimate the proportion of all children that have been diagnosed with autism spectrum disorder (asd) in their county. they are using 95% confidence level and the cdc national estimate that 1 in 68 ≈ 0.0147 children are diagnosed with asd. what sample size should the researcher use to get a margin of error to be within 2%? round up to the nearest integer.

The researcher should use a sample size of at least 140 children to get a margin of error to be within 2%.

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 .

is the margin of error.

95% confidence interval

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

We have that:

So

The researcher should use a sample size of at least 140 children to get a margin of error to be within 2%.

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.

step by step explanation: when u removing the parentheses and combined them that would be : x+3y-x-y=2y