Find the necessary confidence interval for the binomial proportion p. (Round your answers to three decimal places.) A 95% confidence interval for p, based on a random sample of 900 trials of a binomial experiment which produced 24 successes. LA USE SALT to Interpret the interval that you have constructed. O There is a 95% probability that the sample proportion is within the interval. O We are 95% confident that the sample proportion is within the interval. O There is a 95% probability that the population proportion is within the interval. O We are 95% confident that the population proportion is within the interval. O We are 95% confident that the population proportion is directly in the middle of these two values. You may need to use the appropriate appendix table to answer this question.In addition to teachers and administrative staff, schools also have many other employees, including bus drivers, custodians, and cafeteria workers. In Auburn, WA, the average hourly wage is $24.98 for grounds persons, $21.80 for custodians, and $17.66 for assistant cooks.+ Suppose that a second school district employs n = 49 grounds persons who earn an average of $22.55 per hour with a standard deviation of s = $2.81. Find a 95% confidence interval for the average hourly wage (in dollars) of grounds persons in school districts similar to this one. (Round your answers to two decimal places.) to Does your confidence interval enclose the Auburn, WA average of $24.98? O Yes O No What can you conclude about the hourly wages for grounds persons in school districts similar to the second school district? O Auburn, WA pays all workers significantly more per hour, on average, than districts like the second school district pay. O Auburn, WA pays grounds persons significantly more per hour, on average, than districts like the second school district pay. Auburn, WA pays grounds persons significantly less per hour, on average, than districts like the second school district pay. O No conclusion can be made based on the confidence interval. O Auburn, WA pays all workers significantly less per hour, on average, than districts like the second school district pay.A supermarket chain packages ground beef using meat trays of two sizes: one that holds approximately 1 pound of meat, and one that holds approximately 3 pounds. A random sample of 3? packages in the smaller meat trays produced weight measurements with an average of 1.92 pounds and a standard deviation of 0.11 pound. {a} Construct a 99% condence interval for the average weight of all packages sold in the smaller meat trays by this supermarket chain. {Round your answers to three decimal places.) l:|"=m|:|'b {l1} IWhat does the phrase \"99% condent" mean? CI In repeated sampling, 99% of all intervals constructed in this manner will enclose the population mean. C) 99% of all values will fall within the interval. CI In repeated sampling, 1% of all intervals constructed in this manner will enclose the population mean. U There is a 1% chance that an individual sample mean will fall within the interval. CI There is a 99% chance that an individual sample mean will fall within the interval. {c} Suppose that the quality control department of this supermarket chain intends that the amount of ground beef in the smaller trays should be 1 pound on average. Should the condence interval in part {a} concern the quality control department? Explain. Based on the confidence interval, the quality control department Select v be concerned. Since 1 is -Se|ect- v the interval, the interval Select V that u is different from 1