In the US, 44.3% of all people have type O blood, 41% have typeA blood, 10.2% have type B blood and 4.5% have type AB blood. Aresearcher wants to see if the distribution of blood type isdifferent for millionaires. The table below shows the results of arandom sample of 2864 millionaires. What can be concluded at the αα= 0.01 significance level?
Complete the table by filling in the expected frequencies. Roundto the nearest whole number:
Frequencies of Blood Type
OutcomeFrequencyExpected Frequency
O1258
A1181
B281
AB144
What is the correct statistical test to use?
Select an answer Independence Goodness-of-Fit Homogeneity Pairedt-test
What are the null and alternative hypotheses?
H0:H0:
Blood type and income are dependent.
The distribution of blood type for millionaires is not the sameas it is for Americans in general.
Blood type and income are independent.
The distribution of blood type for millionaires is the same asit is for Americans in general.
H1:H1:
The distribution of blood type for millionaires is not the sameas it is for Americans in general.
Blood type and income are independent.
Blood type and income are dependent.
The distribution of blood type for millionaires is the same asit is for Americans in general.
The degrees of freedom =
The test-statistic for this data =Â Â (Please show youranswer to three decimal places.)
The p-value for this sample = (Please show your answer to fourdecimal places.)
The p-value is Select an answer greater than less than (or equalto)  αα
Based on this, we should Select an answer accept the null failto reject the null reject the null
Thus, the final conclusion is...
There is insufficient evidence to conclude that blood type andincome are dependent.
There is sufficient evidence to conclude that the distributionof blood type for millionaires is the same as it is for Americansin general.
There is insufficient evidence to conclude that the distributionof blood type for millionaires is not the same as it is forAmericans in general.
There is sufficient evidence to conclude that the distributionof blood type for millionaires is not the same as it is forAmericans in general.
There is sufficient evidence to conclude that blood type andincome are dependent.
