Question

In: Statistics and Probability

A sample of 1000 customers was selected in Rhode Island to determine various information concerning consumer...

A sample of 1000 customers was selected in Rhode Island to determine various information concerning consumer behavior. Among the questions asked was “Do you enjoy shopping at Shopping Center A?” The results are summarized in the following table.

Enjoy shopping at Shopping Center A

Gender

Total

Male

Female

Yes

272

448

720

No

208

72

280

Total

480

520

1000

  1. Is there evidence of a significant difference between males and females in the proportion who enjoy shopping at Shopping Center A at the 0.01 level of significance?
  2. Construct and interpret a 95% confidence interval estimate for the difference between the proportion of males and females who enjoy shopping at Shopping Center A.

Solutions

Expert Solution

therefore the 95% C.I of proportion of females and males is (0.2415,0.3481)(female-male)

so we are 95% confident that proportion of females who is enjoying shoppint at shopping center A is significantly greater than males since 0 is not lying in this Confidence Interval.

hii.. i am trying to provide the detailed answer to you. if you have any querry please ask by comment i will try to respond you as soon as will be possible. please like the answer. thanks...


Related Solutions

A sample of College Graduates from Rhode Island Colleges and Universities was taken where men and...
A sample of College Graduates from Rhode Island Colleges and Universities was taken where men and women were asked when they figured out what their college major was going to be. Use the data being represented in the table to answer the following questions. Before High School High School Freshman Year Sophomore Year Totals Male 4 22 56 37 119 Female 12 29 42 31 114 Totals 16 51 98 68 233 a. (4 pts.) What is the probability you...
A local bank needs information concerning the account balance of its customers. A random sample of...
A local bank needs information concerning the account balance of its customers. A random sample of 15 accounts was checked. The mean balance was $686.75 with a standard deviation of $256.20. A. Construct a 98% confidence interval for the population mean, assuming account balances are normally distributed. B. Based on your previous answer, would a population mean of $500 be unusual? What about a mean of $800?
2)A local bank needs information concerning the savings account balances of its customers. A random sample...
2)A local bank needs information concerning the savings account balances of its customers. A random sample of 15 accounts was checked. The mean balance was $586.75 with a standard deviation of $256.20. Find a 95%confidence interval for the true mean. Assume that the account balances are normally distributed. Round to the nearest cent. A) Determine the confidence interval B) Would it be unusual to have a sample of 15 customer to have an average balance less than $400.00? Explain your...
A market researcher randomly selected 1000 customers to study the relationship between gender and the book...
A market researcher randomly selected 1000 customers to study the relationship between gender and the book category they preferred most (Romance, Non-Fiction, Adventure, Fantasy) in which customers prefer to read. The results are summarized in the following contingency table: Romance Non-Fiction Adventure Fantasy Total Male 80 170 150 110 510 Female 100 130 130 130 490 Total 180 300 280 240 1000 Suppose the researcher would like to test whether gender is related to the book category they prefer. If...
2. A public polling agency conducts a survey to determine the current consumer sentiment concerning the...
2. A public polling agency conducts a survey to determine the current consumer sentiment concerning the state of the economy. Last year's poll shows that 30% of consumers are optimistic about the state of the economy. Suppose the public polling agency randomly samples 485 consumers and finds that only 158 are optimistic about the state of the economy. a) What is the parameter of interest? explain b) Construct a 95% confidence interval for the parameter of interest and interpret the...
. A sample of 500 respondents was selected in a large metropolitan area to study consumer...
. A sample of 500 respondents was selected in a large metropolitan area to study consumer behavior, with the following results shown through the contingency table: Gender Enjoy Shopping for Male Female Total Clothing Yes 136 224 360 No 104 36 140 Total 240 260 500 a. Find the probability of selecting a male respondent.                                 (2) b. What is the probability that selected respondent is a female who enjoys shopping for clothing?(2) c. What is the probability, if a person is...
1. Determine the sample size to survey the customers of a store in a mall, if...
1. Determine the sample size to survey the customers of a store in a mall, if there are 500 customers out of 11,000 that are in the stores of the corporation. Assume that the confidence level is 95% and the accepted margin of error is 0.05. 2. Determine the sample size from the previous exercise, assuming that the customer sample was taken from department stores where there are a total of 200 customers.
In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate...
In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product, 240 of these people said they never did so. Reasons cited for their behavior included too many steps in the process, amount too small, missed deadline, fear of being placed on a mailing list, lost receipt, and doubts about receiving the money. Calculate an upper confidence bound at the 95% confidence level for the true proportion of such...
The balance sheet provides information concerning liquidity, financial flexibility, and information for calculating various financial ratios....
The balance sheet provides information concerning liquidity, financial flexibility, and information for calculating various financial ratios. The balance sheet serves as a major indicator of an enterprise's ability to survive. Nevertheless, the analysis of the balance sheet should be approached with a clear understanding of the limitations of the statement. What are the major limitations of the balance sheet that should be recognized in analyzing the statement? Explain how these affect the analysis of the balance sheet.
. A bank has taken a random sample of 4 customers for each set of various...
. A bank has taken a random sample of 4 customers for each set of various criteria to determine their level of customer satisfaction on a scale of 0 to 10. The data appear in the table below. (20 points) Factor 1: Factor 2: Type of contact Time of day Automated Bank Representative Row means Morning 6, 5, 8, 4 8, 7, 9, 9 Row 1 ? = 5.75 ? = 8.25 ? = 7.00 Afternoon 3, 5, 6, 5...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT