In the US, 46% of all people have type O blood, 39.2% have type A blood, 10.6% have type B blood and 4.2% 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 3448 millionaires. What can be concluded at the a = 0.05 significance level? a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Blood Type Outcome Frequency Expected Frequency 0 1586 862 X A 1335 862 X B 378 862 X AB 149 862 X b. What is the correct statistical test to use? Goodness-of-Fit c. What are the null and alternative hypotheses? Ho: The distribution of blood type for millionaires is the same as it is for Americans in general. Blood type and income are dependent. The distribution of blood type for millionaires is not the same as it is for Americans in general. Blood type and income are independent. H₁: The distribution of blood type for millionaires is the same as it is for Americans in general. The distribution of blood type for millionaires is not the same as it is for Americans in general. Blood type and income are independent. Blood type and income are dependent. d. The degrees of freedom = 3 e. The test-statistic for this data = 1729.15 X (Please show your answer to three decimal places.) f. The p-value for this sample = 0 X (Please show your answer to four decimal places.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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In the US, 46% of all people have type O blood, 39.2% have type A blood, 10.6% have type B blood and 4.2%
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 3448 millionaires. What can be concluded at the a =
0.05 significance level?
a. Complete the table by filling in the expected frequencies. Round to the nearest whole number:
Frequencies of Blood Type
Outcome Frequency Expected Frequency
O
1586
862 X
A
1335
862 X
B
378
862 X
AB
149
862 X
b. What is the correct statistical test to use?
Goodness-of-Fit
c. What are the null and alternative hypotheses?
Ho:
The distribution of blood type for millionaires is the same as it is for Americans in general.
Blood type and income are dependent.
The distribution of blood type for millionaires is not the same as it is for Americans in general.
Blood type and income are independent.
H₁:
The distribution of blood type for millionaires is the same as it is for Americans in general.
The distribution of blood type for millionaires is not the same as it is for Americans in general.
Blood type and income are independent.
Blood type and income are dependent.
d. The degrees of freedom
= 3
e. The test-statistic for this data
=
1729.15 X (Please show your answer to three decimal places.)
f. The p-value for this sample= 0
X (Please show your answer to four decimal places.)
Transcribed Image Text:In the US, 46% of all people have type O blood, 39.2% have type A blood, 10.6% have type B blood and 4.2% 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 3448 millionaires. What can be concluded at the a = 0.05 significance level? a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Blood Type Outcome Frequency Expected Frequency O 1586 862 X A 1335 862 X B 378 862 X AB 149 862 X b. What is the correct statistical test to use? Goodness-of-Fit c. What are the null and alternative hypotheses? Ho: The distribution of blood type for millionaires is the same as it is for Americans in general. Blood type and income are dependent. The distribution of blood type for millionaires is not the same as it is for Americans in general. Blood type and income are independent. H₁: The distribution of blood type for millionaires is the same as it is for Americans in general. The distribution of blood type for millionaires is not the same as it is for Americans in general. Blood type and income are independent. Blood type and income are dependent. d. The degrees of freedom = 3 e. The test-statistic for this data = 1729.15 X (Please show your answer to three decimal places.) f. The p-value for this sample= 0 X (Please show your answer to four decimal places.)
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