Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total # of apples purchased 1023 1023 1066 1151 4263 (a) In performing this statistical test, state the hypotheses. H0: the observed number of apples people purchased is the same for each season vs. HA: the observed number of apples people purchased is not the same for each season H0: the distribution of apples people purchased is not the same for each season vs. HA: the distribution of apples people purchased is the same for each season H0: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season H0: the total number of apples people purchased is not the same for each season vs. HA: the total number of apples people purchased is the same for each season H0: the distribution of apples people purchased is the same for each season vs. HA: the distribution of apples people purchased is not the same for each season (b) What is the expected number of apples purchased for each season? Fill out the table. (Round your answers to 2 decimal places, if needed.) Spring Summer Fall Winter (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.)

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