Mathematics, 03.06.2021 04:40 LouieHBK
To increase business, the owner of a shoe store is running a promotion in which a customer's bill can be selected at random to receive a discount. When a customer's bill is printed, a program in the cash register determines randomly whether the customer will receive a discount on the bill. The program was written to generate a discount with a probability of 0.15; that is, 15% of the bills get a discount in the long run. However, the owner is concerned the program is incorrect and is not generating the intended long-run proportion of 0.15.
The owner selects a random sample of bills and finds that only 12% of them received a discount. A confidence interval for p, the proportion of bills that will receive a discount in the long run, is 0.12 ± 0.05, and all conditions for inference are met.
Consider the confidence interval 0.12 ± 0.05.
Part A: Does the confidence interval provide convincing statistical evidence that the program is not working as intended? Justify your answer. (3 points)
Part B: Does the confidence interval provide convincing statistical evidence that the program generates the discount with a probability of 0.15? Justify your answer. (2 points)
Part C: A second random sample of bills is taken that is six times the size of the original sample. In the second sample, 12% of the bills received the discount. Determine the value of the margin of error based on the second sample of bills used to compute an interval for p with the same confidence level as that of the original interval. (2 points)
Part D: Based on the margin of error in part C that was obtained from the second sample, is the program working as intended? Justify your answer.
Answers: 1
Mathematics, 20.06.2019 18:02
Given a circle with a radius of 2 which is the length of an arc measuring 75
Answers: 3
Mathematics, 21.06.2019 16:20
Consider the function y = f(x)=3^x the values of f(1/2) and f(1/4). rounded to the nearest hundredth, are__and__ respectively
Answers: 3
Mathematics, 21.06.2019 16:40
Find the solutions for a triangle with a =16, c =12, and b = 63º
Answers: 3
Mathematics, 21.06.2019 18:00
Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.
Answers: 1
To increase business, the owner of a shoe store is running a promotion in which a customer's bill ca...
Biology, 01.08.2019 18:30
English, 01.08.2019 18:30
History, 01.08.2019 18:30
History, 01.08.2019 18:30
History, 01.08.2019 18:30