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What would a chi- square significance value of P > 0.05 suggest?
- a)That there is a significant difference between the sample and the population
- b)That there is a significant relationship between categorical variables
- c)That there is no significant relationship between the sample and the population
- d)The there is a significant relationship between the sample and the population
Correct answer is option 'C'. Can you explain this answer?
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What would a chi- square significance value of P > 0.05 suggest?a)...
Chi-square test
The chi-square test is a statistical test used to determine if there is a significant association between two categorical variables. It compares the observed frequencies in different categories with the expected frequencies under the assumption of independence.
Significance value (p-value)
The significance value, often denoted as p-value, is a measure that helps us determine the strength of evidence against the null hypothesis. It indicates the probability of obtaining the observed data or more extreme data if the null hypothesis is true.
When performing a chi-square test, we compare the calculated chi-square statistic with a critical value from the chi-square distribution table. The critical value is determined based on the desired level of significance, commonly denoted as alpha (α). A common alpha level in statistical analysis is 0.05.
If the p-value is less than or equal to the chosen alpha level (0.05), we reject the null hypothesis and conclude that there is a significant relationship between the categorical variables being tested. On the other hand, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that there is no significant relationship between the variables.
Explanation of option 'C'
Option 'C' states that a chi-square significance value of p < 0.05="" suggests="" that="" there="" is="" no="" significant="" relationship="" between="" the="" sample="" and="" the="" />
When the p-value is less than 0.05, it means that the observed data is unlikely to occur by chance alone under the assumption of independence. Therefore, we reject the null hypothesis and conclude that there is a significant relationship between the categorical variables being tested.
However, when the p-value is greater than 0.05, it means that the observed data is likely to occur by chance alone under the assumption of independence. In this case, we fail to reject the null hypothesis and conclude that there is no significant relationship between the variables.
Therefore, option 'C' is the correct answer because a chi-square significance value of p < 0.05="" suggests="" that="" there="" is="" no="" significant="" relationship="" between="" the="" sample="" and="" the="" population.="" 0.05="" suggests="" that="" there="" is="" no="" significant="" relationship="" between="" the="" sample="" and="" the="" />
The chi-square test is a statistical test used to determine if there is a significant association between two categorical variables. It compares the observed frequencies in different categories with the expected frequencies under the assumption of independence.
Significance value (p-value)
The significance value, often denoted as p-value, is a measure that helps us determine the strength of evidence against the null hypothesis. It indicates the probability of obtaining the observed data or more extreme data if the null hypothesis is true.
When performing a chi-square test, we compare the calculated chi-square statistic with a critical value from the chi-square distribution table. The critical value is determined based on the desired level of significance, commonly denoted as alpha (α). A common alpha level in statistical analysis is 0.05.
If the p-value is less than or equal to the chosen alpha level (0.05), we reject the null hypothesis and conclude that there is a significant relationship between the categorical variables being tested. On the other hand, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that there is no significant relationship between the variables.
Explanation of option 'C'
Option 'C' states that a chi-square significance value of p < 0.05="" suggests="" that="" there="" is="" no="" significant="" relationship="" between="" the="" sample="" and="" the="" />
When the p-value is less than 0.05, it means that the observed data is unlikely to occur by chance alone under the assumption of independence. Therefore, we reject the null hypothesis and conclude that there is a significant relationship between the categorical variables being tested.
However, when the p-value is greater than 0.05, it means that the observed data is likely to occur by chance alone under the assumption of independence. In this case, we fail to reject the null hypothesis and conclude that there is no significant relationship between the variables.
Therefore, option 'C' is the correct answer because a chi-square significance value of p < 0.05="" suggests="" that="" there="" is="" no="" significant="" relationship="" between="" the="" sample="" and="" the="" population.="" 0.05="" suggests="" that="" there="" is="" no="" significant="" relationship="" between="" the="" sample="" and="" the="" />
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What would a chi- square significance value of P > 0.05 suggest?a)That there is a significant difference between the sample and the populationb)That there is a significant relationship between categorical variablesc)That there is no significant relationship between the sample and the populationd)The there is a significant relationship between the sample and the populationCorrect answer is option 'C'. Can you explain this answer?
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What would a chi- square significance value of P > 0.05 suggest?a)That there is a significant difference between the sample and the populationb)That there is a significant relationship between categorical variablesc)That there is no significant relationship between the sample and the populationd)The there is a significant relationship between the sample and the populationCorrect answer is option 'C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about What would a chi- square significance value of P > 0.05 suggest?a)That there is a significant difference between the sample and the populationb)That there is a significant relationship between categorical variablesc)That there is no significant relationship between the sample and the populationd)The there is a significant relationship between the sample and the populationCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What would a chi- square significance value of P > 0.05 suggest?a)That there is a significant difference between the sample and the populationb)That there is a significant relationship between categorical variablesc)That there is no significant relationship between the sample and the populationd)The there is a significant relationship between the sample and the populationCorrect answer is option 'C'. Can you explain this answer?.
What would a chi- square significance value of P > 0.05 suggest?a)That there is a significant difference between the sample and the populationb)That there is a significant relationship between categorical variablesc)That there is no significant relationship between the sample and the populationd)The there is a significant relationship between the sample and the populationCorrect answer is option 'C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about What would a chi- square significance value of P > 0.05 suggest?a)That there is a significant difference between the sample and the populationb)That there is a significant relationship between categorical variablesc)That there is no significant relationship between the sample and the populationd)The there is a significant relationship between the sample and the populationCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What would a chi- square significance value of P > 0.05 suggest?a)That there is a significant difference between the sample and the populationb)That there is a significant relationship between categorical variablesc)That there is no significant relationship between the sample and the populationd)The there is a significant relationship between the sample and the populationCorrect answer is option 'C'. Can you explain this answer?.
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