Problem 12BSC
In Exercise, test the given claim.
Lefties A random sample of 760 subjects was obtained, and each was tested for lefthand writing. Results are in the table below (based on data from “The LeftHanded: Their Sinister History,” by Elaine Fowler Costas, Education Resources Information Center, Paper 399519). Use a 0.05 significance level to test the claim that lefthandedness is independent of gender.

Writes with Left Hand? 


Yes 
No 
Male 
23 
217 
Female 
65 
455 
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 lefthandedness 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
= Lefthandedness is independent of gender.
= Lefthandedness is dependent on gender.