Question

There was an experiment done to people who want to quit smoking. Five volunteers were randomly...

There was an experiment done to people who want to quit smoking. Five volunteers were randomly split into a group of two and a group of three. If after a year the group with two people have sucessfully quit they'll receive a gift. The people in the other group will make a deposit of $100. If after a year they sucessfully quit they'll receive a gift and their money back, otherwise they lose their deposit. In each group there was one person who succesfully quit, the rest did not.

a) What is the observed test statistic?
b) Write all the possible permutations resamples and include the calculation of the difference in sample proportions for each resample.
c)What is the P-value of the observed test statistic?

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Answer #1

a) The obseved test statistic is the people sucessfully quit they'll receive a gift and their money back.

b) The number of all possible of permutations is 5! / 2! 3! = 10

c) The P-value of the observed test statistic is 0.8

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