Imagine you have found a new study partner in your statistics class. One day you

Question

Imagine you have found a new study partner in your statistics class. One day your study partner asks you to go on a date. This invitation takes you completely by surprise, and you have no idea what to say. You are not attracted to the person in a romantic way, but at the same time you do not want to hurt his or her feelings.

A.) Create two possible responses to the person, one in which you fail to reject the invitation and on in which you reject the invitation.

B.) How is your failure to reject the invitation different from rejecting or accepting the invitation?

Explanation / Answer

(A) Here as we solve this question by statistics. The hypothesises are

Null Hypothesis : I am not attracted to my study partne in a romantic way.

Alternative Hypothesis : I am attracted to my study partner in a romantic way.

As here the null hypothesis is correct. so there are two possibility

(i) No type I or type II failure that means reject the proposal outrightly.

(ii) type I failure as null hypothesis is correct but fail to prove it that means fail to reject the invitation.

Two possible responses to the person

(i) Fail to reject the invitation : " Thank for your pleasant offer for an date, it took me by surprise. I didn't think of you in that romantic way, but we can go on the date as to know each other in a friendly manner."

(ii) reject the inviataion : Miss .XXX, i am not interested in you in any romantic way so i can not go for the date with you. Sorry.

(B) Fail to reject the invitation is different from accepting the invitation. In the condition where accepting the invitation means alternative hypothesis is correct and we reject the null. SO, that make its willing accept the invitation. Fail to reject the invitation means null hypothesis is correct but we failed to reject it. As i dont want to go for date but i can't break the other person heart so i go with the partner.

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