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p-value > 0.05 - theres statistical difference p-value < 0.05 - theres …

Question

p-value > 0.05 - theres statistical difference
p-value < 0.05 - theres no statistical difference
p-value < 0.05 - theres statistical difference
none of the above
which is true?

Explanation:

Step1: Understand p - value concept

In hypothesis testing, if \( p - value<0.05 \), we reject the null hypothesis, indicating a statistical difference. If \( p - value > 0.05 \), we fail to reject the null hypothesis, meaning no statistical difference.

Step2: Analyze each option

  • For the option “p - Value > 0.05 - there’s statistical difference”: This is incorrect. When \( p - value>0.05 \), there is no statistical difference.
  • For the option “P - Value < 0.05 - there’s no statistical difference”: This is wrong. When \( p - value < 0.05 \), there is a statistical difference.
  • For the option “P - Value < 0.05 - there’s statistical difference”: This is correct.

Answer:

P - Value < 0.05 - there’s statistical difference