A government agency reported that in 2020 6 0 of people with a bachelor s degree and 9 5 of people with a high school diploma but no college were unemployed Suppose that the reported percentages were based on independently selected representative samples of 600 people with a bachelor s degree and 600 people with a high school degree but no college It was also reported that 4 4 of those with master s degrees were unemployed in 2020 Suppose that this reported percentage was based on a representative sample of 250 people with master s degrees Use this information to answer the following questions USE SALT W Chapter 11 Homework MATH1123 section OB Fall 2023 WebAssign a Construct a 99 large sample confidence interval for the difference in the proportion who were unemployed in 2020 for those who have a bachelor s degree and those who have a master s degree Use Bachelor s Degree Master s Degree Enter your answer using interval notation Round your numerical values to four decimal places Interpret the interval We are 99 confident within narrower 8 that the true difference in the proportion of people with a bachelor s degree who are unemployed and this proportion for people with a master s degree falls C this interval The bounds of the interval suggest the two proportions could be equal b The following is a 95 large sample confidence interval for the difference in the proportion who were unemployed in 2020 for those who have a bachelor s degree and those who have a high school diploma but no college 0 0652 0 0048 Is the confidence interval from part a wider or narrower than this confidence interval O wider Give two reasons why it is wider or narrower Select all that apply One of the sample sizes in part a is lower The confidence level in part a is higher The confidence level in part a is lower The sample proportion of those with Bachelor s degrees who are unemployed was lower than the sample proportion for those with high school diploma s but no college The sample proportion of those with Master s degrees who are unemployed was lower than the sample proportion for those with high school diploma s but no college