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MINDTAP From Cengage omplete: Chapter 8 Problem Set ack to Assignment ttempts 5.

ID: 3372089 • Letter: M

Question

MINDTAP From Cengage omplete: Chapter 8 Problem Set ack to Assignment ttempts 5. The decision-making process A graduate student believes that people consider faces with more contrast between lip color and skin tone as more Keep the Highest: /0.8 feminine. He identifies the null and alternative hypotheses as: Ho: The level of contrast between lip color and skin tone does not affect how feminine a face is considered. Hy: The level of contrast between lip color and skin tone affects how feminine a face is considered. He chooses a significance level of .01. After he collects the data and computes the sample statistics, it is time for him to make a decision about Ho- Check the two possible decisions that the graduate student can make given his choices of Ho and H 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. There is enough evidence to reject the hypothesis thot 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 D There is not enough evidence to reject the hypothesis tat the contrast between lip color and skin tone affects how feminine a face is considered What decision should the graduate student make if the test statistic is not inside the critical region? O The graduate student cannot reject the null hypothesis. O The graduate student should reject the null hypothesis O The graduate student should reject the alternative hypothesis. Suppose that the test statistic is 1.94 and the boundary to the critical region is 2.576. The test statistic is the critical region. Therefore, the graduate student conclude that the level of contrast between lip color and skin tone affects how feminine a face is considered reject the null hypothesis, and he MacBook Pro G Search or type URL esc

Explanation / Answer

Answer: Option 1 for Ho and Option 2 are H1

The two possible choices that the graduate student can make are as follows:

Choice for Ho

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

Choice for H1

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

Answer: Option 2 is correct

If the test statistic is NOT inside the critical region, then reject the null hypothesis.

Thus, The graduate student should reject the null hypothesis.

Answer

Given, test statistic is 1.94 and boundard to critical region is 2.576. Since -2.576 < 1.94 < 2.576

The test statistic is inside the critical region. Therefore, the graduate student should not reject the null hypothesis, and he cannot conclude that the level of contrast between lip color and skin color affects how feminine a face is considered