b) A rescarch was conducted to estimate the proportion of ARB Bank customers who could recognize the existing Government Treasury Bill investment product and the flagship investment product of the bank. Out of a sample of 3000 customers, 1200 were able to recognize the existence of the Government Treasury Bill, whilst 800 out of the 3000 sample were also able to recognize the existence of the bank's flagship investment product. Using 95% degrees of confidence, (i) Construct the confidence interval for the difference between two population proportions. (ii) Construct the confidence interval for the difference between two population percentages.

b) A rescarch was conducted to estimate the proportion of ARB Bank customers who could recognize the existing Government Treasury Bill investment product and the flagship investment product of the bank. Out of a sample of 3000 customers, 1200 were able to recognize the existence of the Government Treasury Bill, whilst 800 out of the 3000 sample were also able to recognize the existence of the bank's flagship investment product. Using 95% degrees of confidence, (i) Construct the confidence interval for the difference between two population proportions. (ii) Construct the confidence interval for the difference between two population percentages.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

In a population where the proportion of people who have the ability to taste umami is unknown. a random sample of 100 people were tested and 74 could clearly distinguish umami from saltiness. What is the sample proportion? Also, Create a 99% confidence interval for the true proportion of people in this region who can taste umami. Does this interval support the fact the majority of this region can taste umami? Why or why not and explain using the value of the confidence interval.
A study of 420,070 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0418% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. |%
A sample of 50 potential customers was asked to use your new product and the product of theleading competitor. After one week, they were asked to indicate which product they preferred. Inthe sample, 30 potential customers said that they preferred your product.(a) Find the sample proportion. (b) Find the 95% confidence interval for the proportion of potential customers who prefer yourproduct. (c) If you want the 95% maximum likely error to be 0.08 or less, what would you choose for sample size? Explain how you calculated your answer and show your work.
(f) Suppose you and your business associates rent a store, get a bank loan to start up your business, and do a little research on the size of your sales district and the number of competing stores in the district. If x2 = 2.8, x3 = 250, x4 = 3.1, x5 = 7.3, and x6 = 2, use a computer to forecast x1 = annual net sales and find an 80% confidence interval for your forecast (if your software produces prediction intervals). (Use 2 decimal places.) forecast lower limit upper limit (g) Construct a new regression model with x4 as the response variable and x1, x2, x3, x5, and x6 as explanatory variables. (Use 2 decimal places for the intercept, 4 for x1, 5 for x3, and 3 otherwise.) x4 = + x1 + x2 + x3 + x5 + x6 Suppose an All Greens store in Sonoma, California, wants to estimate a range of advertising costs appropriate to its store. If it spends too little on advertising, it will not reach enough customers. However, it does not want to overspend on advertising for this type…
A random sample of 13 health maintenance organizations (HMOS) was selected. For each HMO, the co-payment (in dollars) for a doctor's office visit was recorded. The results are as follows. 9, 11, 6, 10, 6, 12, 11, 11, 7, 10, 6, 9, 10 Send data to calculator Send data to Excel Under the assumption that co-payment amounts are normally distributed, find a 99% confidence interval for the mean co-payment amount in dollars. Then find the lower limit and upper limit of the 99% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: || Upper limit:
A sample of 90 WCC students found that 57 of them were female. (a) Find a point estimate for the percentage of all WCC students that are female. (b) Find the 95% margin of error for the estimate. (c) Make a 95% confidence interval for the percentage of all WCC students that are female. Interpret the interval
Chronic liver disease is associated with poorer health outcomes, including renal disease and cardiovascular diseases. Given this, a group of public health consultants are interested in identifying risk factors for chronic liver disease among 72 men. They found that compared to men without hepatitis B, the relative risk of chronic liver disease among those with hepatitis B was 1.24 and the 95% confidence interval was 0.94–1.54. A) Interpret the results (the relative risk and the corresponding 95% confidence interval) in not more than 75 words B) The confidence interval for the best estimate appears to be wide. What could be the reason? Justify in not more than 75 words.
A large multinational corporation recently implemented an ERP system. A survey was done to determine the level of satisfaction with the new system. Out of the 350 managers surveyed, 280 indicated that they were satisfied. - What is the lower limit of the 95% confidence interval on the proportion of satisfied managers? (three decimal places) -What is the upper limit of the 95% confidence interval on the proportion of satisfied managers? (three decimal places)
Of 45 bank customers depositing a check, 16 received some cash back.(a) Construct a 90 percent confidence interval for the proportion of all depositors who ask for cash back. (Round your answers to 4 decimal places.)
A study of 420,057 cell phone users found that 134 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0318% for those not using cell phones. Complete parts (a) and (b) a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. %
An observational study study was conducted to investigate the smoking behaviours of male and female patients with a history of coronary heart disease. among 220 men surveyed , 80 were smokers. Among 190 women surveyed, 95 were smokers. (a) Estimate the odd ratio of smoking for male versus female patients with a history of coronary heart disease. (b) Construct a 95% confidence interval for the odd ratio. (c) Based on (a) and (b), should we reject H0 : OR = 1 in favour of Ha : OR 6= 1?
A sales and marketing management magazine wants to conduct a survey on salespeople engaging in unethical conduct. In a pilot survey, they found that 50% of managers have caught salespeople working a second job on company time. What sample size does the magazine need if they want to estimate a confidence interval for the proportion of managers who have caught salespeople working a second job on company time with 95% confidence and a margin of error of 0.02.