Question 875124
The alternative hypothesis is {{{p <> 0.11}}} so this is two tailed test.


Given Info


p = 0.11
phat = 8/88 = 1/11 = 0.0909 (roughly)
n = 88



Test Statistic



z = (phat - p)/(sqrt(p*(1-p)/n))
z = (0.0909 - 0.11)/(sqrt(0.11*(1-0.11)/88))
z = -0.57264221039283
z = -0.57



Now use a <a href="http://www.math.upenn.edu/~chhays/zscoretable.pdf">table</a> to find the area to the left of z = -0.57



The area to the left of z = -0.57 is 0.2843



Double this to get 2*0.2843 = 0.5686 (remember this is a two tailed test)



The p value is <font color="red">0.5686</font>



Side Note: this very large p value would result in failing to reject the null hypothesis for many standard significance (alpha) values.