Question
A researcher performed a study to determine whether an association exists between gender and blood type. They obtained the following sample data.
At the 5% significance level, the researcher wants to test the following hypotheses.
H0: No association between gender and blood type
H1: Association exists between gender and blood type
Question 1) Total number of females =
Total number of males =
Total number of "O" blood type individuals =
Total number of "A" blood type individuals =
Total number of "B" blood type individuals =
Total number of "AB" blood type individuals =
Total number of people selected =
Question 2) Expected frequency of "O" blood type in females =
Expected frequency of "A" blood type in females =
Expected frequency of "B" blood type in females =
Expected frequency of "AB" blood type in females =
Expected frequency of "O" blood type in males =
Expected frequency of "A" blood type in males =
Expected frequency of "B" blood type in males =
Expected frequency of "AB" blood type in males =
Question 3) What is the Chi-Square test statistic?
When calculating the Chi-Square test statistic, use the rounded expected frequencies from the previous question.
Question 4) At the 5% significance level, in order to calculate the critical value for the above test, the degrees of freedom are:
And the critical value is:
Question 5) At the 5% significance level, do the data provide sufficient evidence to reject H0?
Blood
Type
O
A
B
AB
Gender
Female
160
148
38
25
Male
149
118
42
20