In a random sample of 500 children from Illinois, 143 were undernourished. Use these sample data to answer the following questions. p-value 0.000 test statistic is -9.57                                                                                          What sample size would be needed to construct a 95% confidence interval to estimate the proportion of all children in Illinois who are undernourished with a margin of error of ±5%? Use the observed sample proportion from the scenario as an estimate for the population proportion. You will need to do calculations by hand.

A statistics instructor randomly selected four bagn of oranges, each bag labeled 10 pounds, and weighed the bags. They weighed 9.5, 9.7,9.5, and 9.5 pounds. O Assume that the distribution of weights is Normal. Find a 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations Answer parts a and b below. a. Choose the correct interpretation of the confidence interval below and, if necessary, fil in the answer boxes to complete your choice. OA. We are 95% confident the population mean is betweenand OB. We are 95% confident that the sample mean is between and OC. There is a 95% chance that all ntervals will be between and OD. The requirements for constructing a confidence interval are not satisfied. (Type integers or decimals rounded to the nearest thousandth as needed. Use ascending order.) nti ou Res "ptil atie

The mean number of sick days an employee takes per year is believed to be about ten. Members of a personnel department do not believe this figure. They randomly survey eight employees. The number of sick days they took for the past year are as follows: 12; 4; 15; 3; 11; 8; 6; 8. Let x = the number of sick days they took for the past year. Construct a 95% confidence interval for the true mean or proportion. Round to the nearest hundredth (2 decimal places).

A survey of several 11 to 12 year olds recorded the following amounts spent on a trip to the mall: $19.55,$25.44,$25.80,$14.87,$11.83,$19.89 Construct the 80% confidence interval for the average amount spent by 11 to 12 year olds on a trip to the mall. Assume the population is approximately normal. Step 1 of 4 :  Calculate the sample mean for the given sample data. Round your answer to two decimal places.