QUESTION(a) The owner of a recreational centre is interested in testing whether the age structure of its patrons is the similar to the age structure of the population in Ghana as a whole. The following data were collected by the owner:Age GroupsRecreational centre(in %)Country Percentage(%)Under 20153020 years under 40202840 years under 603322Overs 60 years3220To conduct a goodness-of-fit test at the 5% level of significance, you are required to:(i) State the three assumptions made in conducting the chi-square. (ii) State appropriate null and alternative hypotheses and state the critical chi-squared value. (iii) Calculate the chi-squared test statistic and draw an appropriate conclusion.

Rows: C1 Columns: Worksheet columns Recreational Country All under 20 15 30 45…

Answered: a) The owner of a recreational centre…

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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(a) The owner of a recreational centre is interested in testing whether the age structure of its patrons is the similar to the age structure of the population in Ghana as a whole. The following data were collected by the owner:

Age Groups	Recreational centre(in %)	Country Percentage(%)
Under 20	15	30
20 years under 40	20	28
40 years under 60	33	22
Overs 60 years	32	20

To conduct a goodness-of-fit test at the 5% level of significance, you are required to:
(i) State the three assumptions made in conducting the chi-square.

(ii) State appropriate null and alternative hypotheses and state the critical chi-squared value.

(iii) Calculate the chi-squared test statistic and draw an appropriate conclusion.

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