Question

Of 1000 Thanksgiving turkeys weighed, 550 were 12 pounds or heavier. Construct and interpret a 95% confidence interval for the population proportion of all turkeys that weigh 12 pounds or more.

Answer 1

of looo Thanksgiving turkeys weighed, 55o were i2 Pounds or heavier. construct and interpret a 95 conpidence interval for the population Proportion op all turkeys that weight 12 Pounds or More Given 'That Here sample size 'n 1000 Let P denotes the Population psoportion of all turkeys that weight 12 pounds οτ More P denotes the sample pToportion Porthe given data p = .556 O.55 Here Sample size is large enong SO Given that o 1-0.35 35% Confidence interval (C-1) for P is CWhere Tan is the value Prom standard normal disnibution table fo Level of sighnifieance * 0.55 ±て0.0.5-55 x 1-0.55) looo 6.55 t o.03 Interpretation →If repeated samples are taken and g5% Confidence interval is comput each Sample, g5%, of the intervals will Contain the probabiiy thatthe population proportion of all turkeys that weigh 12 pounds o more lies between o.52 and o 5 is o-95 ed Por