A large national bank determines if each of its branches is profitable or not profitable. Additionally, the location of each branch is classified as urban, suburban, or rural. A summary of the profitability and location type of a random sample of 175 of the bank's branches is shown in the table. Profitable Not Profitable Urban 64 17 Suburban 39 22 Rural 18 15 (a) From the sample of 175 branches summarized above: (1) What proportion of branches are profitable? (ii) What proportion of branches from an urban location are profitable? (ii) What proportion of branches from a rural location are profitable? (b) Assuming the conditions for inference are met, does the data provide convincing statistical evidence that profitability and location type are independent for the bank at a 5 percent level of significance? Complete the appropriate inference procedure to support your answer.

A large national bank determines if each of its branches is profitable or not profitable. Additionally, the location of each branch is classified as urban, suburban, or rural. A summary of the profitability and location type of a random sample of 175 of the bank's branches is shown in the table. Profitable Not Profitable Urban 64 17 Suburban 39 22 Rural 18 15 (a) From the sample of 175 branches summarized above: (1) What proportion of branches are profitable? (ii) What proportion of branches from an urban location are profitable? (ii) What proportion of branches from a rural location are profitable? (b) Assuming the conditions for inference are met, does the data provide convincing statistical evidence that profitability and location type are independent for the bank at a 5 percent level of significance? Complete the appropriate inference procedure to support your answer.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A large national bank determines if each of its branches is profitable or not profitable. Additionally, the location of each branch is classified as urban, suburban, or rural. A summary of the profitability and
location type of a random sample of 175 of the bank's branches is shown in the table.
Profitable
Not Profitable
Urban
64
17
Suburban
39
22
Rural
18
15
(a) From the sample of 175 branches summarized above:
(i) What proportion of branches are profitable?
(ii) What proportion of branches from an urban location are profitable?
(iii) What proportion of branches from a rural location are profitable?
(b) Assuming the conditions for inference are met, does the data provide convincing statistical evidence that profitability and location type are independent for the bank at a 5 percent level of significance?
Complete the appropriate inference procedure to support your answer.

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