Belief in Haunted Places A random sample of 265 college students were asked if they believed that places could be haunted, and 101 responded yes. Estimate the true proportion of college students who believe in the possibility of haunted places with 90% confidence. According to Time magazine, 37% of Americans believe that places can be haunted. Round intermediate and final answers to at least three decimal places.Obesity Obesity is defined as a body mass index (BMI) of 30 kg/m or more. A 99% confidence interval for the percentage of U.S. men aged 18 to 29 who were obese was found to be 18.8% to 21.4%. What was the sample size? Round the intermediate calculations to four decimal places and round up your final answer to the next whole number.A federal report indicated that 16% of children under age 6 live in poverty in Wisconsin, 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 Wisconsin within 3% with 99% confidence? Round the intermediate calculations to three decimal places and round up your final answer to the next whole number.State Gasoline Taxes A random sample of state gasoline taxes (in cents) is shown here for 8 states. Round sample statistics and final answers to at least two decimal places. 44.8 58.7 58.3 44 43.9 58.7 58.6 46.7 Send data to Excel Part: 0 / 2 Part 1 of 2 Use the data to estimate the true population mean gasoline tax with 80% confidence. Assume the variable is normally distributed.