Need work

1. A shop owner wants to see if her distribution of shoppers each weekday matches a recent survey of shopping habits in her community. Her sample includes: 250 Monday shoppers 95 Tuesday shoppers 75 Wednesday shoppers 60 Thursday shoppers 120 Friday shoppers According to the community survey, of those who shop on weekdays, 42% of people shop on Mondays, 16% of people shop Tuesdays, 20% of people shop Wednesdays, 10% of people shop on Thursdays, and 12% shop on Fridays. Is the shopkeeper's sample unrepresentative of the population in her community? (Use the .05 level.) (a) Carry out the steps of hypothesis testing for a chi-square test for goodness of fit (b) Explain your answer to a person who has never taken a course in statistics. (Notice that in this case, you are not dividing the total number of observations evenly between the groups. You are comparing the sample to the proportions in the population. Use the proportions given to determine the expected frequencies.)