Question

1.) In a study of 25 smokers who tried to quit smoking with nicotine patch therapy, 14 were smoking one year after the treatment. Use the sign test with a 0.01 significance level to test the claim that among smokers who try to quit with nicotine patch therapy, the majority are smoking a year after the treatment. Identify the value of the TEST STATISTIC used in a hypothesis test of the claim.

2.) For the following sequence of sample nominal data (with two categories), conduct a runs test for randomness, using α = 0.05.

1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1

Identify the DECISION and CONCLUSION of this runs test.

A Reject H₀. The sequence does NOT appear to be random.
B Fail to reject H₀. The sequence appears to be random.
C Fail to reject H₀. The sequence does NOT appear to be random.
D Reject H₀. The sequence appears to be random.

Answer 1

Solution:-

Given data:-

1)

where, H0 is the null hypothesis

where, H1 is the alternate hypothesis

Sample proportion,

Sample proportion = 0.56

TEST STATISTIC ,

Note:-

As per HomeworkLib rule, 1 question is enough.If you want other question also please upload it as separate question.

Thank you.