Question

Question 20 3 pts Large Sample Proportion Problem. Surveys were conducted in multiple countries and respondents were asked if they felt political news was reported fairly. The data for the United States is that out of 1,000 sampled, 470 indicated yes, they felt political news was reported fairly. Suppose we want to determine if the proportion for the U.S. is below.50 for an alpha level of.05. What is conclusion of my test? I would reject Ho: P=.5 because the test statistic is greater than 1.645 I would fail to reject Ho: P=.5 because the p-value is greater than.05 I would reject Ho: P=.5 because the test statistic is less than-1.645 I would fail to reject Ho: P=.5 because the test statistic is greater than-1.96

Answer 1

We have for given example,                  
Population proportion value is =0.5              
x=470              
                  
n=1000              
Level of significance =   0.05              
Estimate for sample proportion
=p= 0.47

                  
Z test statistic formula for proportion                  

2P-p


0.47 – 0.5 0.5*(1-0.5) V 1000

=-1.897  

Z critical value is =-1.645

-1.897 <-1.645

Question 20 3 pts Large Sample Proportion Problem. Surveys were conducted in multiple countries and respondents were asked if they felt political news was reported fairly. The data for the United States is that out of 1,000 sampled, 470 indicated yes, they felt political news was reported fairly. Suppose we want to determine if the proportion for the U.S. is below 50 for an alpha level of 05. What is conclusion of my test? I would reject H P S because the test statisticis greater than 1.645 I would alta reject Here because the p-value is greater than I would reject Ho: P-5 because the test statisticis luss than-1645 I would fallto reject Ho:P 5 because the test statistic is greater than-1.96