Question
You are conducting a Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: H0 : pA=0.1; pB=0.2;
You are conducting a Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:
H0 : pA=0.1; pB=0.2; pC=0.3; pD=0.4 a) Complete the table below. Give all answers in the table as decimals rounded to4 places after the decimal point, if necessary.
| Category | Observed Frequency | Expected Relative Frequency | Expected Frequency | Residual |
|---|---|---|---|---|
| A | 6 | |||
| B | 28 | |||
| C | 35 | |||
| D | 45 |
b) What is the chi-square test-statistic for this data? Round your answer to 3 decimal places. Test Statistic: 2= c) For a significance of level alpha = 0.01, what is the chi-square critical value? Critical Value: 2= d) What would be the decision of this hypothesis test?
- Fail to reject the Null Hypothesis
- Reject the Null Hypothesis
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College Algebra
Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
12th edition
134697022, 9780134313795 , 978-0134697024
