which of the following is a type i error?\na....

which of the following is a type i error?\na. reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.\nb. reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32.\nc. fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.\nd. fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32.\nwhich of the following is a type ii error?\na. fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32.\nb. reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32.\nc. reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.\nd. fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.

Answer

# Brief Explanations: A Type - I error occurs when we reject a true null hypothesis. Here, the null hypothesis is that the proportion of left - hand writers is 0.32. Rejecting this when it is actually true is a Type - I error. A Type - II error occurs when we fail to reject a false null hypothesis. So, failing to reject the claim that the proportion is 0.32 when it is actually different from 0.32 is a Type - II error. # Answer: For the Type - I error question: A. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32. For the Type - II error question: A. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32.