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%.

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step-by-step explanation:

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step-by-step explanation: