Historically, the proportions of all Caucasians in the United States with blood phenotypes A, B, AB, and O are .41, .10, .04, and .45, respectively. To determine whether current population proportions still match these historical values, a random sample of 200 American Caucasians were selected, and their blood phenotypes were recorded. The observed numbers with each phenotype are given in the following table. A B AB O 89 18 12 81 Is there sufficient evidence, at the .05 level of significance, to claim that current proportions differ from the historic values? a) State the hypotheses. b) Find the critical value at the 5% significance level (rounded off to four decimals). c) Calculate the value of the Chi-square test (rounded off to two decimals). d) State the conclusion at the 5% significance level
Historically, the proportions of all Caucasians in the United States with blood phenotypes A, B, AB, and O are .41, .10, .04, and .45, respectively. To determine whether current population proportions still match these historical values, a random sample of 200 American Caucasians were selected, and their blood phenotypes were recorded. The observed numbers with each phenotype are given in the following table.
A
B
AB
O
89
18
12
81
Is there sufficient evidence, at the .05 level of significance, to claim that current proportions differ from the historic values?
a) State the hypotheses.
b) Find the critical value at the 5% significance level (rounded off to four decimals).
c) Calculate the value of the Chi-square test (rounded off to two decimals).
d) State the conclusion at the 5% significance level
Step by step
Solved in 5 steps with 3 images
