Determine the pvalue for H0 p 5 versus HA p 5 when n 225

Determine the p-value for H₀: p ? .5; versus H_A: p > .5, when n = 225 and p-hat = .54

.1131

.1050

.1650

.1532

Solution

The test statistic is

Z=(phat-p)/sqrt(p*(1-p)/n)

=(0.54-0.5)/sqrt(0.5*0.5/225)

=1.2

It is a one-tailed test.

So the p-value= P(Z>1.2) =0.1151 (from standard normal table)

Answer: a ..1131