Question

A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.6, but given the number of people you've talked to about this same issue, you believe it is different from 0.6. The hypotheses for this test are Null Hypothesis: p = 0.6, Alternative Hypothesis: p ≠ 0.6. If you randomly sample 29 people and 19 of them believe that global warming is a serious issue, what is your test statistic and p-value?

Question 4 options:

1)	Test Statistic: 0.606, P-Value: 0.272

2)	Test Statistic: 0.606, P-Value: 0.544

3)	Test Statistic: 0.606, P-Value: 0.456

4)	Test Statistic: 0.606, P-Value: 0.728

5)	Test Statistic: -0.606, P-Value: 0.544

Answer 1

Number of Items of Interest,   x =   19                  
Sample Size,   n =    29                  
                          
Sample Proportion ,    p̂ = x/n =    0.6552                  
                          
Standard Error ,    SE = √( p(1-p)/n ) =    0.0910                  
Z Test Statistic = ( p̂-p)/SE = (   0.6552   -   0.6   ) /   0.0910   =   0.606

p-Value   =   0.544 [excel formula =2*NORMSDIST(z)]

2)	Test Statistic: 0.606, P-Value: 0.544