A researcher performed a study to determine whether an assoc

A researcher performed a study to determine whether an assocaition exists between sex and blood type. He obtained the following data.

Blood Type A O B AB TOTAL

Sex Female 115 141 27 13 296

Male 86 91 26 9 212

Total 201 232 53 22 508

At the 10% significance level, do the data to prove sufficient evidence to conclude that an association exists between sex and blood type?

Perform a chi-square independence test using the P-value approach, providing the conditions for using the test are met.Be sure to state the hypothesis and significance level, to obtain the expected frequencies , compute the test statistic and obtain the P value and state your conclusion...

Solution

H0: An association does not exist between sex and blood type

Ha: An association exists between sex and blood type.

= 0.10

Test statistic: 2 = 1.867.

P-value > 0.10

Do not reject H0 .

At the 10% significance level, the data do not provide sufficient evidence to conclude that an association exists between sex and blood type.