A random sample of BYU-Idaho students was surveyed and asked if they were in favor of retaining the penny as a form of currency in the United States. Out of the 116 women surveyed, 80 said that they were in favor of retaining the penny as a form of currency. Of the 137 men surveyed, 91 said that they were in favor of retaining the penny. For these questions, let group 1 represent women and group 2 represent men. Use this information to answer questions 1 through 7.1. Are the requirements met to create a confidence interval and conduct a hypothesis test?Yes. The requirements are met for both. No. The requirements aren't met for a confidence interval or a hypothesis test. The requirements are only met for creating a confidence interval. The requirements are only met for conducting a hypothesis test. Construct a 95% confidence interval of the difference in the proportions of women who are in favor of retaining the penny and men who are in favor of retaining the penny. Remember that for this exercise, women are assigned to group 1 and men are assigned to group 2. Give the lower bound accurate to three decimal places in the first box. Give the upper bound accurate to three decimal places in the second box (Example: 2.335). Complete questions 2-7 whether or not all the requirements are met.2. Lower bound: 3. Upper bound: You also want to perform a hypothesis test to see if there is a difference between the proportion of women who want to keep the penny and the proportion of men who want to keep the penny. Use a level of significance of alpha=0.05.4. Choose the correct alternative hypothesis. H_a: p_1>p_2 H_a: p_1