In a chi-square goodness of fit test for absences across days of the week, if the observed number of absences on Monday is and the expected number is , what is the contribution of the Monday absences to the calculation of the chi-square test statistic?
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- 1. Intro to Stats and Collecting Data1h 14m
- 2. Describing Data with Tables and Graphs1h 56m
- 3. Describing Data Numerically2h 5m
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- 5. Binomial Distribution & Discrete Random Variables3h 6m
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- 7. Sampling Distributions & Confidence Intervals: Mean3h 23m
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- Introduction to Confidence Intervals15m
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- Finding Probabilities and T Critical Values - ExcelBonus28m
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- 8. Sampling Distributions & Confidence Intervals: Proportion2h 10m
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- Hypothesis Testing: Means - ExcelBonus42m
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- Prediction Intervals13m
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- Quadratic Regression15m
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- 13. Chi-Square Tests & Goodness of Fit2h 21m
- 14. ANOVA2h 29m
13. Chi-Square Tests & Goodness of Fit
Goodness of Fit Test
Multiple Choice
Which of the following is not a requirement to conduct a goodness-of-fit test?
A
The expected frequency for each category should be at least .
B
The data must be obtained from a random sample.
C
The population standard deviation must be known.
D
The observations must be independent of each other.
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Verified step by step guidance1
Understand that the chi-square goodness-of-fit test is used to determine if observed categorical data fits a specified distribution.
Recall the key requirements for conducting a chi-square goodness-of-fit test: (1) The data must come from a random sample, (2) The observations must be independent, and (3) The expected frequency for each category should be at least 5 to ensure the validity of the chi-square approximation.
Recognize that the population standard deviation is not a requirement for the chi-square goodness-of-fit test because this test deals with categorical data and frequencies, not means or variances of a numerical population.
Compare each given option against these requirements to identify which one does not belong as a necessary condition.
Conclude that the statement 'The population standard deviation must be known' is not a requirement for conducting a chi-square goodness-of-fit test.
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