Question

More cheating Refer to Exercise 36. Calculate and interpret the standard error of $\hat{p}$for these data.

Short answer

The value of standard error is$0.0239$.

Step-by-step solution

Given Information

It is given that:

$n=172$

$x=19$

Concept Used

Formula to be used is$S{E}_{\hat{p}}=\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

Calculation of Standard Error

Calculation of sample proportion is

$\hat{p}=\frac{x}{n}$

$=\frac{19}{172}$

$0.1105$

Hence, standard error

$S{E}_{\hat{p}}=\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

role="math" localid="1654280036152" $S{E}_{\hat{p}}=\sqrt{\frac{0.1105(1-0.1105)}{172}}$

$S{E}_{\hat{p}}=0.0239$

Standard of error is$0.0239$.