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Identify the type I error and the type II error that corresponds to the given hy

ID: 2949314 • Letter: I

Question

Identify the type I error and the type II error that corresponds to the given hypothesis The proportion of people who write with their left hand is equal to 0.25 Which of the following is a type I error? Fail to reject the claim that the proportion of people who write with their left hand is 0.25 when the proportion is actually 0.25, O B Fail to reject the claim that the proportion of people who write with their left hand is 0.2 when the propor n s a ha ydine entho C25 O c. Reject the claim that the proportion of people who write with their left hand is 0.25 when the proportion is actually 025. ? D. Reject the claim that the proportion of people who write with their left hand is 025 when the proportion is actually s-erent to 025 Which of the following is a type Il error? O A. Reject the claim that the proportion of people who write with their left hand is325 when the proportion is actually different from 0.25 O B. Fail to reject the claim that the proportion of people who write with their left hand is 0.25 when the proportion is actually 0.25. O c. Reject the claim that the proportion of people who write with their left hand is 0.25 when the proportion is actually 0.25 0 D. Fail to reject the claim that the proportion of people who write with their left hand is 0 Click to select your answer

Explanation / Answer

1. c. reject the claim that the proportion of people who write with their left hand is 0.25 when the proportion is actually 0.25.

as in this problem H0 : the proportion of people who write with their left hand is 0.25

vs. H1: H0 is not true.

and type I error is when you reject H0 when H0 is true..

2.type II error is when you faail to reject H0 when H1 is true so correction option will be

d. fail to reject the claim that the proportion of people who write with their left hand is 0.25 when the proportion is actually different from 0.25

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