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4. A market researcher working for a bank wants to know if the distribution of applications by card is the same for the past three mailings. She takes a random sample of 200 from each mailing and counts the numberapplying for Silver, Gold and Platinum. The data follow: TIE of Card Silver Gold Platinum Total Mailing 1 120 5|] 30 200 Mailing Z 115 5|] 35 200 Mailing 3 105 55 40 200 Total 340 155 105 600 You can access this data in the SPSS file mailings. la} Write down the null and alternative hypotheses for a test to determine whether or not the population distribution for each mailing is the same. lb] Use SPSS to display the above table, adding in the expected values and residuals for each cell. (c} Create a clustered bar chart and describe what it indicates. ld] Use a signicance level of 5% to determine whether or not the distributions are the same for each mailing. Explain and interpret your conclusion in full