In the US, 60% of all people have type O blood, 20% have type A blood, 15% have type B blood and 5% 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 172 millionaires. What can be concluded at the 0.01% significant level. Test for the claim that the following categories occur with the following frequencies: pType O = 0.6; pType A = 0.2; pType B = 0.15; pType AB = 0.05 Test at the 0.01 significance level. Complete the table. Round all answers to three decimal places. Blood Type Observed Frequency Expected Frequency Residual O 78 A 35 B 40 AB 19 Ho : H1: Original claim = Select an answer H₁ H₀ Enter the critical value, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.) Test Statistic = (Round to three decimal places.) p-value= (Round to four decimal places.) Decision: Conclusion:
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
In the US, 60% of all people have type O blood, 20% have type A blood, 15% have type B blood and 5% 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 172 millionaires. What can be concluded at the 0.01% significant level. Test for the claim that the following categories occur with the following frequencies: pType O = 0.6; pType A = 0.2; pType B = 0.15; pType AB = 0.05 Test at the 0.01 significance level. Complete the table. Round all answers to three decimal places.
| Blood Type | Observed Frequency |
Expected Frequency |
Residual |
|---|---|---|---|
| O | 78 | ||
| A | 35 | ||
| B | 40 | ||
| AB | 19 |
Ho :
H1:
Original claim = Select an answer H₁ H₀
Enter the critical value, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.)
Test Statistic = (Round to three decimal places.)
p-value=
(Round to four decimal places.)
Decision:
Conclusion:
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