Question

Ulermined by the sample size. Question 18 1 pts and standard deviation 0 = A certain population follows a normal distribution with mean 2.5. You collect data and test the hypotheses Họ: H = 1, H:| → 1. You obtain a two-sided P-value of 0.03. Which of the following is true? The null hypothesis will be accepted at a - .05, The null hypothesis will be rejected at both a- .05 and a-.01. The nuli hypothesis will be rejected at a-012 The nult hypothesis will be rejected arc-.05.

Answer 1

We know that we reject the null hypothesis when P-value< $\alpha$ , where $\alpha$ is the level of significance.

For this problem, the correct option is

option d : The null hypothesis will be rejected at $\alpha$ =0.05 as P-value=0.03<0.05

Reason:

The first option is not applicable as P-value=0.03<0.05 which is the criterion on the basis of which the null hypothesis will be rejected.

The second option is also not applicable. Even though the null hypothesis is rejected when $\alpha$ =0.05, we fail to reject the null hypothesis at $\alpha$ = 0.01 because P-value=0.03>0.01. The condtion doesnt hold because both the condidtion needed to be true.

The third option is also not apllicable as P-value=0.03>0.01 ,which means that we fail to reject the null hypothesis.

So the correct option is option d.

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