A federal report indicated that 13% of children under age 6 live in poverty in Minnesota, an increase over previous years. How large a sample is needed to estimate the true proportion of children under age 6 living in poverty in Minnesota within 4% with 90% confidence? Round the intermediate calculations to three decimal places and round up your final answer to the next whole number.Direct Satellite Television It is believed that 25% of U.S. homes have a direct satellite television receiver. Round up your final answers to the next whole number. Part: 0 / 2 Part 1 of 2 How large a sample is necessary to estimate the true population of homes that have a direct satellite television receiver with 99% confidence and within 5 percentage points?Widows A recent study indicated that 32% of the 135 women over age 55 in the study were widows. Round up your answers to the next whole number for the following questions. Part: 0 / 2 Part 1 of 2 How large a sample must you take to be 90% confident that the estimate is within 0.02 of the true proportion of women over age 55 who are widows?Students Who Major in Business It has been reported that 20.4% of incoming freshmen indicate that they will major in business or a related field. A random sample of 391 incoming college freshmen were asked their preference, and 98 replied that they were considering business as a major. Part: 0 / 2 Part 1 of 2 Estimate the true proportion of freshman business majors with 95% confidence. Round your answers to at least one decimal place. %