In the US, 45.5% of all people have type O blood, 40.1% have type A blood, 11.1% have type B blood, and 3.3% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3080 millionaires. What can be concluded at the α = 0.10 significance level?
Complete the table by filling in the expected frequencies. Round to the nearest whole number:
Frequencies of Blood Type
Outcome Frequency Expected Frequency
O 1395 1392
A 1253 1237
B 342 341
AB 90 110
What is the correct statistical test to use?
Select an answer: Goodness-of-Fit, Homogeneity, Paired t-test, Independence
What are the null and alternative hypotheses?
H0: Blood type and income are independent.
H1: The distribution of blood type for millionaires is not the same as it is for Americans in general.
The degrees of freedom = 3
The test-statistic for this data = 2.737 (Please show your answer to three decimal places.)
The p-value for this sample = 0.4342 (Please show your answer to four decimal places.)
The p-value is: greater than α
Based on this, we should: fail to reject the null
Thus, the final conclusion is:
There is insufficient evidence to conclude that the distribution of blood type for millionaires is not the same as it is for Americans in general.