Test for the claim that the following categories occur with the following frequencies: pA=0.3pA=0.3; pB=0.4pB=0.4; pC=0.2pC=0.2; pD=0.1pD=0.1Test at the 0.01 significance level. Complete the table. Round all answers to three decimal places. Category Observed Frequency Expected Frequency Residual A 30 B 44 C 22 D 17
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.
Test for the claim that the following categories occur with the following frequencies:
pA=0.3pA=0.3; pB=0.4pB=0.4; pC=0.2pC=0.2; pD=0.1pD=0.1Test at the 0.01 significance level. Complete the table. Round all answers to three decimal places.
| Category | Observed Frequency |
Expected Frequency |
Residual |
|---|---|---|---|
| A | 30 | ||
| B | 44 | ||
| C | 22 | ||
| D | 17 |
HoHo : pA=0.3pA=0.3; pB=0.4pB=0.4; pC=0.2pC=0.2; pD=0.1pD=0.1
H1H1: at least one is different
Original claim = Select an answer H₀ H₁
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.)
(Round to three decimal places.)
Test Statistic = (Round to three decimal places.)
p-value=
(Round to four decimal places.)
Decision: Select an answer Fail to reject the null hypothesis Accept the alternative hypothesis Reject the null hypothesis Accept the null hypothesis
Conclusion: Select an answer There is not sufficient evidence to warrant rejection of There is not enough evidence to support The sample data supports There is sufficient evidence to warrant rejection of the claim that all 4 categories are equally likely to be selected.
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