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%.

step-by-step explanation:

the options are kind of confusing. i can tell you what i see going on here when i look at the graph.

the class and exam medians are closely related, and it looks like the low outlier on the exam did pull the median lower. [tex][/tex]