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...

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