In July 2010, a survey conducted by Webroot, a software security firm, found that 32% of the respondents use the same passwords for all of the social networking Web sites they log on to (which, by the way, is not the best idea). Suppose a follow up survey was recently conducted to investigate if the proportion had changed. Out of a random sample of 225 Internet users, it was found that 86 used the same password for all their social networking Web sites. Using σ = 0.10, answer the following:

a. State the null and alternative hypotheses.

b. What conclusions can be made about the proportion of Internet users who maintain the same passwords for all the social networking sites to which they log on?

c. Determine the p value for this test and interpret its meaning.

d. Verify your results using PHStat.