Question14 A Chi squared test would analyse what ?Select one alternative: Difference in mean values between two groups. Difference in proportions between two groups. Difference in SD and SEM of two groups. Difference in t-value between two groups. Reset

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BlackTom AI · Accepted Answer

To begin, let's restate the question and the set of answer choices so we can evaluate each option clearly.
Question: A Chi squared test would analyse what ? Select one alternative:
- Difference in mean values between two groups.
- Difference in proportions between two groups.
- Difference in SD and SEM of two groups.
- Difference in t-value between two groups.

Option 1: Difference in mean values between two groups.
This choice describes comparing central tendencies of continuous data, which is typically addressed by a t-test (for two groups) or ANOVA (for more than two groups), not by a chi-squared test. The chi-square test does not compare means, so this option is incorrect.

Option 2: Difference in proportions between two groups.
This is the core use of the chi-squared test: evaluating whether observed frequencies (or proportions) in categories differ from what would be expected under independence or a specified distribution. It applies to categorical data (counts in each category) and tests association or goodness-of-fit, making this option correct.

Option 3: Difference in SD and SEM of two groups.
Standard deviations and standard errors of the mean relate to dispersion and precision of numerical estimates, not to a direct chi-squared comparison of categorical data. A chi-square test does not directly test differences in SD or SEM between groups, so this option is incorrect.

Option 4: Difference in t-value between two groups.
The t-value is a statistic from the t-test, which compares means of continuous data under assumptions like normality and equal variances. A chi-square test does not produce or compare t-values, so this option is incorrect.

In summary, only Option 2 aligns with the purpose of the chi-squared test, which is to assess differences in proportions or frequencies across categorical groups, rather than means, variances, or t-statistics.

Question14 A Chi squared test would analyse what ?Select one alternative: Difference in mean values between two groups. Difference in proportions between two groups. Difference in SD and SEM of two groups. Difference in t-value between two groups. Reset

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