According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.
Year
Check Written Year 1 Year 2 Year 3
Yes 225 175 125
No 275 325 375
Referring to the above table, what is the expected number of shoppers who pay by check in year 1, if there is no difference in the proportion of shoppers who pay by check among the three years?
Select one:
a. 150
b. 187.5
c. 175
d. 225