MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Concept explainers

Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Verify all the conditions and why they are met. Show work for finding the expected values and everything.
1. The department of parks and recreation of a certain city conducts summer programs for residents of its six districts. The summer programs include operating and maintaining community swimming pools in each of the districts as well as offering sports and recreational programs for school-age children, young adults, and older adults. The table below shows the proportion of households by district out of all households that participated in the summer programs, based on annual data that were collected from simple random samples each summer over a 10-year period, ending in the year 2000. The proportions are being used by the city for planning purposes and for more efficiently targeting the introduction of future programs. District C Proportion of 0.32 0.12 0.10 0.27 0.05 0.14 Households City leaders want to test if the proportions that are being used by the city are still valid. Data collected by a statistician from a simple random sample this past summer indicated that the following number of households participated in each district. District A D E F Number of 100 35 40 22 12 31 Households a. The statistician claims that the data for this past summer provide evidence that the proportions that are being used by the city are no longer valid. Give statistical evidence to justify the claim. b. Which one of the six districts had the greatest change in participation since the year 2000? Use the information from part (a) to explain your choice.
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Transcribed Image Text:1. The department of parks and recreation of a certain city conducts summer programs for residents of its six districts. The summer programs include operating and maintaining community swimming pools in each of the districts as well as offering sports and recreational programs for school-age children, young adults, and older adults. The table below shows the proportion of households by district out of all households that participated in the summer programs, based on annual data that were collected from simple random samples each summer over a 10-year period, ending in the year 2000. The proportions are being used by the city for planning purposes and for more efficiently targeting the introduction of future programs. District C Proportion of 0.32 0.12 0.10 0.27 0.05 0.14 Households City leaders want to test if the proportions that are being used by the city are still valid. Data collected by a statistician from a simple random sample this past summer indicated that the following number of households participated in each district. District A D E F Number of 100 35 40 22 12 31 Households a. The statistician claims that the data for this past summer provide evidence that the proportions that are being used by the city are no longer valid. Give statistical evidence to justify the claim. b. Which one of the six districts had the greatest change in participation since the year 2000? Use the information from part (a) to explain your choice.
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