10) Which of the following is a correct description of a Type II error? (A) If we concluded that the true proportion of Americans who believe the nation is politically divided is less than 75% but it really is not. (B) If we concluded that the true proportion of Americans who believe the nation is politically divided is not less than 75% but it really is. (C) If we concluded that the true proportion of Americans who believe the nation is politically divided is greater than 75% but it really is not. (D) If we concluded that the true proportion of Americans who believe the nation is politically divided is not greater than 75% but it really is. (E) If we concluded that the true proportion of Americans who believe the nation is politically divided is 75% but it really is not.Use the following situation for problems 8 - 10. Americans are become more divisive than ever, due to political polarization in the nation. A recent Pew Research Center survey set out to determine how many Americans were aware of this political polarization. They wanted to be optimistic and believe that less than 75% of Americans would say they believe the nation is politically divided. They set up their hypothesis to be Ho: p = 0.75 versus HA: p > 0.75. They sampled 245 people. 8) Of the 245 people they surveyed, 165 of them said that they believe the nation is politically divided. Which of the following will correctly calculate this z test statistic? (A) 0.6-0.75 0.75-0.25 165 0.75-0.6 (B) 0.6-04 165 0.6-0.75 (C) 0.75-0.25 245 0.6-0.75 (D) 0.6-0.4 245 0.75-0.6 (E 0.6+04 2459) Which of the following is the correct conclusion in the context of this problem, if your significance level is set at 0.057 (A) Because our p-value of 0.0028 is less than our significance level, we would reject Ho. We have convincing evidence that less than 75% of Americans believe that the nation is politically divided. (B) Because our p-value is 0.673 is greater than our significance level, we would fail to reject Ho. We do not have convincing evidence that less than 75% of Americans believe that the nation is politically divided. (C) Because our p-value of 0.0028 is less than our significance level, we would fail to reject He. We do not have convincing evidence that less than 75% of Americans believe that the nation is politically divided. (D) Because our p-value is 0.673 is greater than our significance level, we would reject Ho. We have convincing evidence that less than 75% of Americans believe that the nation is politically divided. (E) None of the above gives the correct conclusion