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Quiz: Quiz: Chapter 10 (Sections 1-3) This Question: 1 pt This Quiz: 20 pts poss

ID: 3074703 • Letter: Q

Question

Quiz: Quiz: Chapter 10 (Sections 1-3) This Question: 1 pt This Quiz: 20 pts possible For shudents who first envolled in two year public Institutions in a recent semester, the proportion who eamed a bachelor's deges within six years was 0 301. The president of a cetain college believes that the proportion of sudents who envol in (a) Determine the ul and atemative hypotheses (bl Explain what it would mean to make a Type I emor (c) Explain whart t would mean to make a Type ieor H, Type indegers or decimals. Do not ound) s less than 03 hat the proportion of students who eam a bachelon's degree wihin years iso OC. The president fails to reiject the hyothesis OD. The president nejects the ypothesis at the proportion (el Which of the following is Tyse ll emor that the proportion of shudents who eam a bechesdegres within six years f students who eam a bachelo's degree within slx years is 0.391, when in lact, the proportion i 0 391 wh of shudents who eam a bachelor's degree within six years is proportion is 0 31 The president rejects the ypothonis that he proportion ofudents Clck to select your arwwertsA

Explanation / Answer

As the question in the image is not clear(blurred), I am assuming that the proportion who earned a bachelor's degree within six years was 0.391.

The Hypothesis is that the proportion of who earned a bachelor;s degree within six years was Lower than 0.391.

a) The null hypothesis: H0: p = 0.391

The alternate hypothesis: H1: p < 0.391

b) Type 1 error: Rejection of a true null hypothesis

Correct option: D : The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when in fact the proportion is 0.391.

c) Type 2 error: Retaining a false null hypothesis

Correct option: A: The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within sixyears is 0.391, when in fact the proportion is less than 0.391.