4. A market researcher wants to determine if the shape of a client's packaging material is an important factor in a consumer's selection of the product. The researcher randomly selects 2000 consumers and gives each of them five differently shaped packages of the same product. One month later each consumer is asked to indicate a preference for one of the shaped packages. The results of the survey are given in the table below. Shape of the Package #2 #3 #5 #4 # of Customers Selecting the Package 430 450 385 365 370 Use a Chi Square Goodness-of-Fit Test to test the null hypothesis that sample data fits a uniform distribution at a -1%. Can you conclude that the sample data indicates a preference for packaging shape? 4. Null Hypothesis: H: The sample data fits the distribution. Alt.Hypothesis: H: The sample data does not fit the distribution. Contingency Table Calculate the Chi-Square Testing Statistic Observed Frequency Expected Frequency 0 E (0-E) (O-E) (O-E) E Chi-Square Test Statistic: Fail to Reject Ho Reject Ho x' = allcells (0-E) E p-value: (from Minitab or TI Calc) df-k-1- Result of test: (from Table IV) Final Conclusion: Based on the given information...