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if a studys p - value is 0.03, and the significance level is set at 0.0…

Question

if a studys p - value is 0.03, and the significance level is set at 0.05, what should be concluded?
a. the result is likely due to chance.
b. reject the null hypothesis.
c. increase the sample size and retest.
d. accept the null hypothesis.

Explanation:

Step1: Compare p - value and significance level

In hypothesis testing, if \( p - value\leqslant\alpha\) (where \(\alpha\) is the significance level), we reject the null hypothesis. Here, \(p - value = 0.03\) and \(\alpha=0.05\), and \(0.03<0.05\).

Answer:

B. Reject the null hypothesis.