A recent study in a national business journal asked consumers the following question: “In general, how would you rate the level of service provided by your supermarket?” A district manager of Piggly Wiggly supermarkets asked the same question about Piggly Wiggly supermarkets in her district. She took a random sample of 525 Piggly Wiggly shoppers. The question she seeks to answer is: Do the results of the Piggly Wiggly survey contradict
Exercise 1 – Chi-Square Goodness of Fit Test
A recent study in a national business journal asked consumers the following question: “In general, how would you rate the level of service provided by your supermarket?” A district manager of Piggly Wiggly supermarkets asked the same question about Piggly Wiggly supermarkets in her district. She took a random sample of 525 Piggly Wiggly shoppers. The question she seeks to answer is: Do the results of the Piggly Wiggly survey contradict the national study using a 5 percent significance level?
# 1: Test Set-Up
This table shows the result of the Piggly Wiggly survey along with consumers’ ratings of supermarkets from the national study.
Find the expected frequencies
Table 15: Expected Frequencies (Note: Expected frequencies have been rounded off to a whole number.)
# 2: Select the Significance Level, α
A 5 percent significance level has been selected
# 3: State the Null and Alternate Hypotheses
- H0:
- H1:
Follow the examples shown in Clear-Sighted Statistics.
# 4: Compose the Decision Rule
Follow the examples shown in Clear-Sighted Statistics. Use Critical Values, not p-values.
# 5: Calculate the Test Statistic, ES, p-Value, and conduct a power analysis using G*Power
# 6: Decide and Report,
Please Note: You report must be framed in the context of the research question. Merely stating that you rejected or failed to reject the Null Hypothesis is not sufficient. Consider the issue of practical significance in your report.
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