You may need to use the appropriate technology to answer this question. A manufacturer conducted an experiment to determine if the number of product purchases depends on the color scheme used in the packaging. Stores in three locations were randomly selected to track the sales of the product with packaging in black and gold compared with packaging in red and blue. Since the number of product purchases varies among different locations, the three locations were used as blocks in the experiment. The data obtained follow. Color Scheme Black a Gold Red & Blue A 50 43 Location B 57 43 C 61 46 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. U Ho: l\"Black Bauld = \"Red 9. Blue Ha: \"Black oGold * \"Red & Blue 0 Ho: I\"Black &Gold at \"Red & Blue Ha: \"Black &Goid = \"Red Bx Blue A \\J H0: \"AtyBin Ha:n"'A:i\"B:'\"C OHo:\"A:I\"B:i\"c Ha: yAat yByC 0 Ho: \"Black &Gold : \"Red & Blue : l\"A : \"B : \"c Ha: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) |:| Find the p-value. (Round your answer to three decimal places.) State your conclusion. 0 Do not reject HD' There is not sufficient evidence to conclude that the mean number of purchases are not the same for both color schemes. 0 Reject \"0' There is sufficient evidence to conclude that the mean number of purchases are not the same for both color schemes. 0 Do not reject H0. There is sufcient evidence to conclude that the mean number of purchases are not the same for both color schemes. 0 Reject H0. There is not sufcient evidence to conclude that the mean number of purchases are not the same for both color schemes