A study suggests that the 25% of 25-year-olds have gotten married. You believe that this is incorrect and decide to collect your own sample for a hypothesis test. From a random sample of 25-year-olds in census data with size 776, you find that 24% of them are married. A friend of yours offers to help you with setting up the hypothesis test and comes up with the following hypotheses.
1. The null hypothesis should use p and not p-hat since we are interested in the population proportion, not the sample proportion.
a. True
b. False
2. Conduct a hypothesis test to check whether this represents a statistically significant difference from 50% and use a significance level of 0.01.