Question 1032347
Given Information
{{{p = 0.5}}} is the hypothesized population proportion
{{{x = 216}}} is the number of successes
{{{n = 400}}} is the sample size



Compute The Sample Proportion (p-hat)
{{{phat = x/n}}}
{{{phat = 216/400}}}
{{{phat = 0.54}}}



Standard Error (SE)
{{{SE = sqrt((p*(1-p))/n)}}}
{{{SE = sqrt((0.5*(1-0.5))/400)}}}
{{{SE = 0.025}}} 



Test Statistic
{{{z = (phat - p)/(SE)}}}
{{{z = (0.54 - 0.50)/(0.025)}}}
{{{z = 1.6}}} 



Final Answer: <font color=red>Choice A) 1.6</font>