A report claims that 46% of full-time college students are employed while attending college. A recent survey of 80 full-time students at a state university found that 37 were employed. Use the five-step p-value approach to hypothesis testing and a 0.01 level of significance to determine whether the proportion of full-time students at this state university is different from the national norm of 0.46.

a) Let piπ be the population proportion. Determine the null hypothesis, Upper H 0H0, and the alternative hypothesis, Upper H 1H1.

b) What is the test statistic?

c) What is the p-value?

d) What is the final conclusion?