Question

in a survey of 240 u.s. teachers, 65 said that \all or almost all\ of the information they find using search engines online is accurate or trustworthy. find standard error of proportion(sep) correct to 2 decimal places 0.01 0.05 0.03 0.04

Explanation:

Step1: Calculate the sample proportion

The sample proportion \( \hat{p}=\frac{x}{n}\), where \(x = 65\) (number of successes) and \(n=240\) (sample size). So, \(\hat{p}=\frac{65}{240}\approx0.27\).

Step2: Calculate the standard error of proportion

The formula for the standard error of proportion is \(SEP=\sqrt{\frac{\hat{p}(1 - \hat{p})}{n}}\). Substitute \(\hat{p}=0.27\) and \(n = 240\) into the formula:

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Answer:

0.03