Question

1. Leona wants to know more about her customers preferences and writes down what filling and what salsa each customer orders over a day. Her results are found at the bottom below the questions.
   1. What is the population being studied here?
   2. What are the variables being studied?
   3. What would be a suitable parameter to use to summarize the variables you identified in part b?
   4. What would be a suitable claim that Leona could test with the available data?
   5. Write an appropriate null hypothesis for the claim in part d.
   6. Write an appropriate alternative hypothesis for the claim in part d.
   7. Are the conditions for testing the null hypothesis in part e met? What must be assumed?
   8. Calculate the P-Value for the null hypothesis in part e and compare it with a significance level of 0.01 to make a decision about the null hypothesis.
   9. Summarize your decision in part h.

Fillings: salsa roja salsa verde mole Tamarindo

Jackfruit 12 17 13 8

Mushrooms 17 22 8 3

Refritos 18 18 7 4

Answer 1

Part a) Here, our population being studied is the number of customers arriving at Leona's restaurant per day.

Part b) The variables being studied here are her customers preferences i.e, what filling (qualitative variable) and what salsa(qualitative variable) each customer orders over a day.

Part c) Here, a suitable parameter which we use to summarize the variable is the frequency based on the customers preference. With this frequency we construct the contigency table to summarizr the data-

Salsa	Salsa Roja	Salsa verde	Mole	Tamarindo
Filling
Jackfruit	12	17	13	8
Mushroom	17	22	8	3
Refritos	18	18	7	4

Part d) Here, we claim for independence of the variables that is we use the test for independence using chi-square statistic.