Explanation From the given table, p 1 = 0.248 , p 2 =0 .251, p 3 = 0.254 , and p 4 = 0.247 be the proportions of Jan-Mar, Apr-Jun, Jul-Sep, and Oct-Dec quarters, respectively. The null and alternative hypotheses can be written as follows: Null hypothesis: H 0 : p 1 = 0.248 , p 2 =0 .251, p 3 = 0.254 , p 4 = 0.247 Alternative hypothesis: H a : At least one p i is not specified as in H 0 . The total number of observations can be obtained as follows: n = 196 + 162 + 137 + 122 = 617 The expected values of each quarter can be calculated as follows: Jan-Mar: From the given table, the proportion of Jan-Mar quarter is 0.248. The expected value of Jan-Mar quarter can be calculated as follows: E ( Jan-Mar ) = n ⋅ p 1 = 617 ( 0.248 ) = 153.02 Apr-Jun: The proportion of Apr-Jun quarter is 0.251. The expected value of Apr-Jun quarter can be calculated as follows: E ( Apr-Jun ) = n ⋅ p 2 = 617 ( 0.251 ) = 154.87 Jul-Sep: The proportion of Jul-Sep quarter is 0.254. The expected value of Jul-Sep quarter can be calculated as follows: E ( Jul-Sep ) = n ⋅ p 3 = 617 ( 0.254 ) = 156.70 Oct-Dec: The proportion of Oct-Dec quarter is 0.247. The expected value of Oct-Dec quarter can be calculated as follows: E ( Oct-Dec ) = n ⋅ p 3 = 617 ( 0.247 ) = 152

Statistics, Binder Ready Version: Unlocking the Power of Data

2nd Edition

ISBN: 9781119163664

Author: Robin H. Lock, Patti Frazer Lock, Kari Lock Morgan, Eric F. Lock, Dennis F. Lock

Publisher: WILEY

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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.

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Chapter 7.1, Problem 20E

To determine

Identify the parts of the year that have a higher and lower than expected number of AFL athletes.

Test whether there is any evidence that the birthdate distribution for AFL athletes differs significantly from the national birthdate distribution.

Identify the categories that are contributing the most to the sum for the chi-square test statistic, if there is evidence for the difference between the actual and expected counts.

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Chapter 7 Solutions

Statistics, Binder Ready Version: Unlocking the Power of Data

Ch. 7.1 - In Exercises 7.1 to 7.4, find the expected counts...Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E

Ch. 7.1 - Prob. 11E Ch. 7.1 - Prob. 12E Ch. 7.1 - Prob. 13E Ch. 7.1 - Prob. 14E Ch. 7.1 - Prob. 15E Ch. 7.1 - Prob. 16E Ch. 7.1 - Prob. 17E Ch. 7.1 - Prob. 18E Ch. 7.1 - Prob. 19E Ch. 7.1 - Prob. 20E Ch. 7.1 - Prob. 21E Ch. 7.1 - Prob. 22E Ch. 7.1 - Prob. 23E Ch. 7.1 - Prob. 24E Ch. 7.1 - Prob. 25E Ch. 7.1 - Prob. 26E Ch. 7.1 - Prob. 27E Ch. 7.1 - Prob. 28E Ch. 7.1 - Prob. 29E Ch. 7.1 - Prob. 30E Ch. 7.2 - Prob. 31E Ch. 7.2 - Prob. 32E Ch. 7.2 - Prob. 33E Ch. 7.2 - Prob. 34E Ch. 7.2 - Prob. 35E Ch. 7.2 - Prob. 36E Ch. 7.2 - Prob. 37E Ch. 7.2 - Prob. 38E Ch. 7.2 - Prob. 39E Ch. 7.2 - Prob. 40E Ch. 7.2 - Prob. 41E Ch. 7.2 - Prob. 42E Ch. 7.2 - Prob. 43E Ch. 7.2 - Prob. 44E Ch. 7.2 - Prob. 45E Ch. 7.2 - Prob. 46E Ch. 7.2 - Prob. 47E Ch. 7.2 - Prob. 48E Ch. 7.2 - Prob. 49E Ch. 7.2 - Prob. 50E Ch. 7.2 - Prob. 51E Ch. 7.2 - Prob. 52E Ch. 7.2 - Prob. 53E Ch. 7.2 - Prob. 54E Ch. 7.2 - Prob. 55E Ch. 7.2 - Prob. 56E Ch. 7.2 - Prob. 57E

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