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 0.025. He analyzes the apple purchases each season for a year and records his findings in the following table. Season # of apples purchased ‒‒‒‒‒‒‒‒‒‒‒‒‒‒ (a) In performing this statistical test, state the hypotheses. O Ho: 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 O Ho: 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 O Ho: 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 O Ho: 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 O Ho: the proportion of customers is the same each season vs. Ha: the proportion of customers is not the same 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.) ....... *‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒ Fall Spring Summer (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS= (d) The test statistic follows a chi-square distribution with df = 4 Spring 914 (e) Using the statistical table, the p-value is 0.005

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