St. Mary's is planning to add a new food vendor to the cafeteria and would like to know what type of food service ...

1. St. Mary's is planning to add a new food vendor to the cafeteria and would like to know what type of food service the students would prefer. A sample of 120 students is obtained and each student is asked to select his or her preference from Java House ( a coffee shop), Green Living ( a vegetarian food booth), or Luey's (a tex-mex booth). The researcher found that 53 students selected Java House, 37 selected Green Living, and 30 selected Luey's. Test at the .05 level of significance.
 

a. state the null and alternative hypothesis
 

b. determine the critical value
 

c. state the observed and expected frequencies
 

d. perform the analysis by hand, make a decision regarding the null hypothesis, and state why that decision was made
 

e. what do your results mean? basically, write a grandma statement

2. A survey similar to the one described above of the St. Mary's student population that was conducted 10 years ago found that a coffee shop was preferred by 20% of students, and a vegetarian food booth and a tex-mex booth were each preferred by 40% of students. Do the data described above (53 students selected Java House, 37 selected Green Living, and 30 selected Luey's) indicate a significant change in preferences during the past 10 years? Test at the .05 level of significance.
 

a. state the null and alternative hypothesis
 

b. determine the critical value from your textbook
 

c. state the observed and expected frequencies
 

d. what is your chi-square value? what is your p-value? make a decision regarding the null hypothesis and state why you made the decision based on the critical value.

3. How do you decide whether to reject or fail to reject the null hypothesis if you compute a statistic by hand? How does this relate to significance (i.e., if you reject the null, do you have a significant result? what if you fail to reject?)