Question Set 1: Chi-Square Goodness-of-Fit

A representative sample of 30 customers at bagel shop were surveyed and ask if they prefer sandwiches made on plain, everything, or sesame bagels. Each participant could only select their one most favorite bagel type. In that sample, 14 selected plain, 10 selected everything, and 6 selected sesame. Use Minitab Express to conduct a chi-square goodness-of-fit test to determine if there is evidence that the proportions of people in the population who would choose plain, everything, and sesame bagels are not all equal. Use the five-step hypothesis testing procedure given below. Remember to copy+paste all relevant Minitab Express output and to clearly identify your answers. [40 points]

Step 1: State hypotheses and check assumptions

Step 2: Compute the test statistic

Step 3: Determine the p-value

Step 4: Decide to reject or fail to reject the null hypothesis

Step 5: State a real-world conclusion

Question Set 2: Chi-Square Test of Independence

Research question: Is there a relationship between primary campus and Pennsylvania state residency in the population of all Penn State undergraduate students?

Data collected from a random sample of Penn State students are presented in the following table:

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Pennsylvania Non-Pennsylvania University Park 237 170 Commonwealth Campuses 222 49 PA College of Technology 46 6 World Campus 38 46