A tourism board in California, USA has conducted a survey of small hotels (defined ashotels with 12 or fewer rooms). One of the objectives was to establish the extent towhich small hotels used the local tourist information center to obtain bookings. Asimple random sampling was conducted from a population of 300 hotels. It was foundthat of 60 responses received, 45 hotels used the local tourists information center toobtain bookings.(1)Determine an approximate 90% confidence interval for the proportions of allsmall hotels in the country which use local tourist information center to obtainbookings.Explain your results.Within the same survey, hotel keepers were asked about their room prices. Theaverage price of a single room was $200 per night and the standard deviationsof prices was $60. The research officer was hoping to estimate the mean roomprice to within ±$12. Estimate the smallest achieved sample size with atleast 95% confidence.(2)(3)State the two advantages and disadvantages for this type of sampling.

Answered: Image /qna-images/answer/95cb0f24-a225-47f2-871c-bceb15181664.jpg

Answered: A tourism board in California, USA has…

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

A simple random sample of 1000 people age 18 or over is taken in a large town. It turns out that 223 people in the sample are newspaper readers. Calculate a 90%-confidence interval for the percentage of people (age 18 and over) in that town who read newspapers. Choose the closest answer. a. (19.7%, 24.9%) b. (21.5%, 23.0%) c. (21.0%, 23.5%) d. (20.1%, 24.5%)
A study of 420,048 cell phone users found that 137 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 0.0256% 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. enter your response here%<p<enter your response here% (Round to three decimal places as needed.) b. Do cell phone users appear to have a rate of cancer of the brain or nervous system that is different from the rate of such cancer among those not using cell phones? Why or why not? A. No, because 0.0256% is included in the confidence interval. B. Yes, because 0.0256% is included in the confidence interval. C. Yes, because 0.0256% is not included in the confidence interval. D. No, because 0.0256% is not…
In a random sample of 800 men aged 25 to 35 years, 24% said they live with one or both parents. In another sample of 850 women of the same age group, 18% said that they live with one or both parents.A. Construct a 95% confidence interval for the difference between the proportions of all men and all women aged 25 to 35 years who live with one or both parents.B. Test at the 2% significance level whether the two population proportions are different.C. Repeat the test of part b using the p-value approach.
In an engineering class, students want to determine the difference in the mean strength between two different types of building materials—Type A, which is relatively inexpensive, and Type B, which is slightly more expensive. The students take a random sample of 60 of the Type A building material and a random sample of 27 of the Type B building material. Given the mean strength for each sample, the students construct a 95% confidence interval for the difference in population means. (a) Determine the degrees of freedom for the conservative approach for finding the t critical value. (b) Find the t critical value associated with 95% confidence. (Use a table or SALT. Round your answer to two decimal places.)
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. 9 1 1 1 8 8 8 9 1 8 9 8 1 8 8 7 7 5 8 4 9 8 9 1 1 7 7 Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places. 4 7 6 8 8 4 I 10 10 1 1 8 7 8 8 10 7 9 7 8 1 6 10 7
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
A study of 420 comma 026 cell phone users found that 140 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 0.0434 % 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. b. Do cell phone users appear to have a rate of cancer of the brain or nervous system that is different from the rate of such cancer among those not using cell phones? Why or why not?
The “Pro-Wealth” insurance wants to calculate the difference between the average amount of term life insurance purchased per family and the average amount of life time insurance purchased per family. To obtain this data, one of the company's actuaries randomly selects 25 families who have term life insurance only and 27 families who have life time insurance only. Each sample was taken from families where the head was less than 45 years old. Use the data obtained with a confidence level of: 96%, to estimate the difference in the mean between the two groups, assuming the amount of insurance is normally distributed. For term insurance (term): xT = $ 76,000 sT = $ 22,500 and nT = 25 , while for whole life insurance: xT = $ 46,000 sT = $ 15,600 and nT = 27.
4 & 5
Refer to the data set of 20 randomly selected presidents given below. Treat the data as a sample and find the proportion of presidents who were taller than their opponents. Use that result to construct a 95% confidence interval estimate of the population percentage. Based on the result, does it appear that greater height is an advantage for presidential candidates? Why or why not? Construct a 95% confidence interval estimate of the percentage of presidents who were taller than their opponents. If greater height was an advantage, then taller candidates should have won (more than,less than,exactly) 50% of the elections. In this case, greater height (appears,does not appear) to be an advantage for presidential candidates because the confidence interval (does,does not) include 50%.
The dataset "nurses" is a random sample of 1,000 cases from “Health Care Provider Credential Data” from Washington State Open Data Portal. In the sample, there are 418 CNA's and 278 of the CNA's have expired credentials. Use the statistics from the nurses dataset to answer the following question: "With 90% confidence, what percent of all CNA's on Washington State's healthcare provider list are expired?"
A national research group reported that 36% of 18-24 year olds watch a cable news channel regularly. The director of media relations at a large university wanted to know what proportion of students at her university who watch a cable news channel regularly. If it is less than 36%, then she will unsubscribe to the news channels. She sampled 200 random students and found that 63 watched cable news regularly. Should she conclude that proportion of students at her university who watch cable news regularly is less than 36% at the 8% significance level? In the context of this problem and your conclusion, what type of error is possible? In the context of this problem, what would the error be? In the context of this problem, what would be a possible consequence of this error?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS