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A researcher purchased four 1-pound bags of plain M&MS at different stores to compare the color distribution to the one stated at the manufacturer's website. The observed results for the combined bags and the proportions alleged by the manufacturer are given in the following table. Brown Red Yellow Blue Orange Green Total 229 Observed 605 395 381 228 247 (0.290) (0.189) (0.183) (0.109) (0.118) (0.110) 2085 Alleged Proportions .30 20 20 10 420 10 LAUSE SALT State and test the appropriate hypotheses to determine whether it is reasonable to assume that the observed colors are a random sample from a population with the manufacturer's alleged proportions 4 State the null and alternative hypotheses. (brown), P (yellow), P- (red). Py = (blue), Ps- Hoi P₁ (orange). P (manufacturer's claim) Hnot all p, are as specified in Ho Find the expected counts for all results. (Give your answers correct to one decimal place) Expected count Brown Red Yellow Blue Orange Green Compute the value of the chi-square test statistic, (Give your answer correct to one decimal place.) x²11
Find the expected counts for all results. (Give your answers correct to one decimal place.) Expected count Brown Red Yellow Blue Orange Green Compute the value of the chi-square test statistic, x². (Give your answer correct to one decimal place.) What are the degrees of freedom, df, for this test statistic? df- Find the p-value for the chi-square statistic (Give your answer correct to three decimal places.) p-value= State the conclusion. -Select the null hypothesis and conclude that proportions-Select- as stated at M&M web site for the population from which these bags were drawn. Need Help? Read it