1. A research wants to study the effect of the TV ads to the candidate’s support

Question

1. A research wants to study the effect of the TV ads to the candidate’s supporting rate. Let p be thesupporting rate. He wanted to see whether the supporting rate was increased or not after a TV ad wasreleased. So he set the hypotheses asH0:p= 0.31 vs.Ha:p >0.31. And he got apvalue= 0.035.Question: Given= 0.05, are we going to rejectH0or fail to rejectH0when we do a test forH0:p= 0.31 vs.Ha:p6= 0.31?

2. True or false:

a) If we rejectH0at= 0.01, we will also reject it when= 0.05.

b) If we fail to rejectH0at= 0.05, we will also fail to reject it when= 0.1.

c) If the test is statistically significant at= 0.01, then it will not be statistically significant when= 0.1.

d) If the test is statistically significant at= 0.05, then it will also be statistically significant when= 0.01.

3. A company with a fleet of 1500 cars found that the emission systems of 7 out of the 22 they testedfailed to meet the pollution control guidelines. Is this strong evidence that more than 20% of the fleetmight be out of compliance? Conduct a test with= 0.05.

Explanation / Answer

As per the Chegg policy, we are advised to do one question at a time so i am attempting the 1st one.

1. Given,

p - Value = 0.035

= 0.05

Since p - value is less than , we will reject the null hypothesis.

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