Question

In addition to knowing a person's blood type, it is important to also know whether their Rh factor is positive or negative. The blood types of the first 200 individuals to have their blood drawn at a hospital lab on Monday are recorded below. Type B Rh Factor A Positive 63 AB 18 0 78 14 Negative 11 8 (a) Based on these sample results, does it appear that these two methods of classifying blood types are independent at the x = 0.05 level of significance? State the null and alternative hypotheses. Ho The number of people with the same Rh factor and blood type are equal. M, The number of people with the same Rh factor and blood type are different. O Ho Rh factor and blood types are linearly related. H: Rh factor and blood types are dependent. O Ho Rh factor and blood types are independent. M: Rh factor and blood types are linearly related. O Ho Rh factor and blood types are independent H: Rh factor and blood types are dependent. O Ho Rh factor and blood types are dependent. H: Rh factor and blood types are independent. Find the test statistic. (Round your answer to two decimal places.) Find the rejection region. (Round your answer to two decimal places.) State your condusion. O Hois rejected. There is insufficient evidence to conclude that Rh factor and blood types are dependent. Mo is not rejected. There is sufficient evidence to conclude that Rh factor and blood types are dependent. O Mois rejected. There is sufficient evidence to conclude that Rh factor and blood types are dependent. Mo is not rejected. There is insufficient evidence to conclude that Rh factor and blood types are dependent. (b) Calculate the proportion of Rh negative blood types within each of the A, B, AB, and o categories. (Round your answers to three decimal places.) Are these proportions consistent across the categories? Does this support your conclusion in part (a)? The proportions --Select- consistent across the categories Select our conclusion in part (a).