Asked by Conner Thurtell on Mar 10, 2024
Verified
For a chi-square distributed random variable with 10 degrees of freedom and a level of significance of 0.025, the chi-square table value is 20.4831. The computed value of the test statistics is 16.857. This will lead us to reject the null hypothesis.
Degrees of Freedom
An estimate of the number of independent values in a statistical calculation that can vary without violating any constraints.
Level of Significance
The probability of rejecting the null hypothesis when it is actually true, used as a threshold for determining statistical significance.
- Discern the basic presumptions behind chi-square tests and appraise if the data aligns with these presumptions.
- Administer the chi-square goodness-of-fit test for scrutinizing hypotheses about the distribution patterns of categorical data.
Verified Answer
KM
Kgopotso MologadiMar 10, 2024
Final Answer :
False
Explanation :
The computed value of the test statistics (16.857) is less than the chi-square table value (20.4831) at a level of significance of 0.025, which means we fail to reject the null hypothesis.
Learning Objectives
- Discern the basic presumptions behind chi-square tests and appraise if the data aligns with these presumptions.
- Administer the chi-square goodness-of-fit test for scrutinizing hypotheses about the distribution patterns of categorical data.