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# In Exercise, test the given claim.Lefties A random sample

ISBN: 9780321836960 18

## Solution for problem 12BSC Chapter 11.3

Elementary Statistics | 12th Edition

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Problem 12BSC

Problem  12BSC

In Exercise, test the given claim.

Lefties A random sample of 760 subjects was obtained, and each was tested for left-hand writing. Results are in the table below (based on data from “The Left-Handed: Their Sinister History,” by Elaine Fowler Costas, Education Resources Information Center, Paper 399519). Use a 0.05 significance level to test the claim that left-handedness is independent of gender.

 Writes with Left Hand? Yes No Male 23 217 Female 65 455
Step-by-Step Solution:

Solution  12BSC

We are given a data set of results of left hand writing for a random sample of 760 people. We have to test the claim that left-handedness is independent of gender.

Step 1: To test the claim we need to fulfil certain assumptions.

1. We assume that the sample has been randomly selected because of the structure of the study.

2. The results are tabulated as frequencies.

3. The expected frequencies are more than five in every column.

Step 2: We will define hypothesis as below

= Left-handedness is independent of gender.

= Left-handedness is dependent on gender.

Step 3 of 4

Step 4 of 4

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