You are looking at a population and are interested in the proportion, that has a certain characteristic. Unknown to you, this population proportion is p-8.30. You have taken a random sample of size -110 from the population and found that the proportion of the sample that has the characteristic is-027. Your sample is Sample 1 in the table below. (In the table, Sample 1 is written "S1", Sample 2 is written "S2", etc.) (4) Based on Sample 1, graph the 75% and 95% confidence intervals for the population proportion. Use 1150 for the critical value for the 75% confidence interval, and use 1.960 for the critical value for the 95% confidence interval. (If necessary, consult a list of formulas.) • Enter the lower and upper limits on the graphs to show each confidence interval. Write your answers with two decimal places. • For the points (. and.), enter the population proportion, 0.30. KIS S 6.15 75% confidence interval 95% confidence interval 75% 75% 95% 95% lower upper lower upper limit limit limit limit $12 0.24 0.19 513 0.36 0.31 81 0.27 7 52 0.29 0.24 0.34 0.21 037 53 0.29 0.24 0.34 0.21 0.37 54 0.32 0.27 0.37 0.23 0.41 ss 0.40 8.35 0.45 6:31 0.49 56 0.33 0.28 0.38 0.24 0.42 57 6.29 0.24 0.34 0.37 58 0.24 0.19 0.29 0.16 0.32 59 0.31 0.26 0.36 0.22 0.40 810 0.28 0.23 0.33 0.36 511 6.31 0.26 (b)Press the "Generate Samples" button below to simulate taking 19 more samples of size -110 from the same population. Notice that the confidence intervals for these samples are drawn automatically. Then complete parts (c) and (d) below the table. 0.20 0.36 0.22 0.40 0.29 0.16 0.32 041 0.27 0.45 $14 0.30 0.25 0.35 0.21 0.39 815 6.31 0.26 0.36 0.22 0.40 516 0.37 0.32 042 0.28 046 S17 0.30 0.25 0.35 0.21 0.39 516 0.37 0.12 042 0.28 0.46 $19 0.30 0.25 0.35 0.21 0.39 $20 0.33 0.28 0.38 0.24 0.42 6.50 0.15 0.50 4.30 0.50 75% confidence intervals 19 Notice that for 20-95% of the samples, the 95% 0.50 0.15 confidence interval contains the population proportion. Choose the correct statement. When constructing 95% confidence intervals for 20 samples of the same size from the population, at most 95% of the samples will contain the population proportion. When constructing 95% confidence intervals for 20 samples of the same size from the population, it is possible that more or fewer than 95% of the samples will contain the population proportion. When constructing 95% confidence intervals for 20 samples of the same size from the population, exactly 95% of the samples will contain the population proportion. 95% confcence intervals Mana G 9.50