A 95% confidence interval for a mean difference is 2.1 to 5.7. At the corresponding two-sided 5% significance level, which conclusion follows?
اوسط فرق کے لیے 95% اعتماد کا وقفہ 2.1 سے 5.7 ہے۔ متعلقہ دو طرفہ 5% اہمیت کی سطح پر، کون سا نتیجہ اخذ ہوتا ہے
- The population difference is guaranteed to lie inside the interval
- The null hypothesis of zero difference is rejected
- The two sample means must have been equal before analysis
- The result proves practical importance in every educational setting
Explanation
Since the 95% confidence interval does not include zero, the null hypothesis of no difference is rejected at the 0.05 level.
Additional Information:
Hypothesis Testing: Confidence intervals excluding zero provide direct evidence of statistically significant effects.
Statistical Inference: Links interval estimation directly to alpha-level significance decisions.
Updated on 30-10-2026 by Muqadas
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