A Pew Internet and American Life Project 2007 report stated that 74% of teenage boys posted their photo on their online profile, while 83% of teenage girls did so. Assume that the sample sizes were each 500. Test whether the proportion of teenage boys posting their photo in their online profile differs from the proportion of teenage girls who do so.
a) State the null and alternative hypothesis.
Ho:________________ Ha:________________
b) Calculate the test statistic.
c) Determine the p-value.
d) At a significance level of 5%, what is your conclusion? Explain in context of the problem