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Q4.4 2 Points Which of the following is true? O The population proportion of U.S. adults who have a great deal or fair amount of trust and confidence in mass media will be in the confidence interval 99% of the time. O The 99% confidence interval provides a range of reasonable values for the sample proportion of U.S. adults who have a great deal or fair amount of trust and confidence in mass media based on the data. O The 99% confidence interval provides a range of reasonable values for the population proportion of U.S. adults who have a great deal or fair amount of trust and confidence in mass media based on the data. O The sample proportion of U.S. adults who have a great deal or fair amount of trust and confidence in mass media will be in the confidence interval 99% of the time.Q4.5 2 Points Suppose that you are asked to construct a 95% confidence interval using these data. How would the width of the 95% confidence interval compare to the width of the 99% confidence interval you constructed above? O The 95% confidence interval would be the same width as the 99% confidence interval. O This cannot be determined without more information. The 95% confidence interval would be narrower than the 99% confidence interval. O The 95% confidence interval would be wider than the 99% confidence interval.Q4.3 4 Points Calculate a 99% confidence interval for the population proportion U.S. adults who have a great deal or fair amount of trust and confidence in mass media. Make sure to show your work (hand calculations and/or R input/output). Enter your answer hereA recent Gallup survey asked a random sample of U.S. adults how much trust and confidence they have in mass media (e.g., newspapers, television, radio). In a random sample of 812 U.S. adults, 277 reported that they had a great deal or fair amount of trust and confidence in mass media. Let p represent the population proportion U.S. adults who have a great deal or fair amount of trust and confidence in mass media