The decision-making process A graduate student believes that people consider fac

Question

The decision-making process A graduate student believes that people consider faces with more contrast between lip color and skin tone as more feminine. He identifies the null and alternative hypotheses as: H_o: The level of contrast between lip color and skin tone does not affect how feminine a face is considered. H_1: The level of contrast between lip color and skin tone affects how feminine a face is considered. He chooses a significance level of 001. After he collects the data and computes the sample statistics, it is time for him to make a decision about H_0. Check the two possible decisions that the graduate student can make given his choices of H_0 and H_1. There is not enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone does not affect how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. There is not enough evidence to reject the hypothesis that the contrast between lip color and skin tone does not affect how feminine a face is considered. What decision should the graduate student make if the test statistic is in the critical region? The graduate student cannot reject the null hypothesis. The graduate student should reject the null hypothesis. The graduate student should reject the alternative hypothesis. Suppose that the test statistic is 2.62 and the boundary to the critical region is 3.291. The test statistic is ____ the critical region. Therefore, the graduate student ___ reject the null hypothesis, and he conclude that the level of contrast between lip color and skin tone affects how feminine a face is considered.

Explanation / Answer

We reject H0, if we find enough evidence against it

Here, so our two choices may be b) and d)

they describe the rejection or acceptance about the null hypothesis perfectly.

The critical region is nothing but region of rejection,

If the test statistics is in that region, we should reject the null hypothesis.

Ans: b)

The test statistics is 2.62 < 3.291{ critical value}

The test statistics is not in the critical region. Therefore, the graduate student can not reject the null hypothesis. And he should not conclude tha....

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