7.  Time magazine reported in a 2004 survey of 507 randomly…

7.  Time magazine reported in a 2004 survey of 507 randomly selected adult American Catholics, that 279 answered yes to the question “Do you favor allowing women to be priests?”  Conduct a test of hypothesis to determine if this data (279 out of 507) shows that the population proportion of adult American Catholics who favor allowing women to be priests is more than 0.50. (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (c) Interpret the p-value for Step 3 of the hypothesis test.