An education researcher is studying whether adults over 25 years old in the U.S. are becoming better educated as a group. Specifically, she wishes to test whether the proportion of adults in this age range with an associate's degree or higher(i.e., two or more years of college) is greater than 0.42, which is the most recent proportion reported by the U.S. Census. She will conduct the test at the = 0.05 level of significance.

The education researcher takes a random sample of 783 adults and finds that 302 of them reported having at least an associate's degree. Calculate the test statistic for testing the hypothesis implied in the paragraph above.Take all calculations toward the answer to four (4) decimal places.