Practise forming chi-square statistics for homogeneity or independence from observed and expected cell counts and calculating degrees of freedom from table dimensions.
．Three months from now，all of the parents／guardians of elementary school students in a certain large school
district will vote either yes or no on a new electronic tablet program．This program will allow every elementary
school student within the school district to be issued a tablet．In a recent survey of a random sample of 300
parents／guardians of elementary school students， 146 out of 300 （48．7 percent）indicated they would vote yes in
favor of such a program．
Mr．Robinson，the technology expert at the school district，is in favor of the elementary students being issued a
tablet．He develops a pamphlet showing the educational benefits of students having their own tablet．He did this to
increase the proportion of parents／guardians voting yes．To investigate the effectiveness of the pamphlet，Mr．
Robinson distributed the pamphlet to the same 300 parents／guardians from the original sample．After reading the
pamphlet，each parent／guardian was asked again whether each elementary student should be issued a tablet．
Parents／guardians could change their answer or keep the same answer from the original survey．The results of the
parent／guardian replies are shown in the table．
（c）（i）Assume the conditions for McNemar＇s test have been met．Calculate the test statistic using the sample data
from Mr．Robinson＇s study．Show your work．
Use a pencil or a pen with black or dark blue ink．Do NOT write your name．Do NOT write outside the box．
Question 6
Continue your response to QUESTION 6 on this page．
（ii）Assuming the null hypothesis is true，McNemar＇s test statistic， ，is distributed approximately as a chi－square
statistic with 1 degree of freedom．Determine the p－value for Mr．Robinson＇s test using the test statistic found
in part（c－i）．