Suppose there is a random sample of 1,002 observations, divided into four groups.  The table below summarizes the observations that were seen in each group. Group 1 Group 2 Group 3 Group 4 471 180 120 231 We are interested in testing the Null hypothesis Observed=Expected, under the assumption that the expected proportions are  .50, .20, .10, and .20 for the 4 groups, respectively.   What are the expected values? Group 1 Group 2 Group 3  Group 4           What is the value of the test statistic?  Round your response to at least 3 decimal places.     What is the P-value for the test?

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