SOLUTION: An initial survey was performed right after M�decins Sans Fronti�res accused my brother of wrong doing. Of 1852 customers, 53 were against the aggressive tactics of M�decins Sans

Question 1057902: An initial survey was performed right after M�decins Sans Fronti�res accused my brother of wrong doing. Of 1852 customers, 53 were against the aggressive tactics of M�decins Sans Fronti�res. After my brother was cleared by the court, a follow-up survey was performed. Of 4699 customers, 1751 said they did not agree with the aggressive tactics of M�decins Sans Fronti�res.
At the 1% significance level, do the data suggest that a higher percentage of customers were against M�decins Sans Fronti�res after the court case?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The proportion of interest is 53/1852=0.0286
The new proportion is 1751/4699=0.3726
Ho=no difference
Ha=difference
alpha=0.01
1 sample proportion looking at 0.0286
use a z(0.995)2-tailed with critical value |z|>2.576
z=(0.3726-0.0286)/sqrt {(.0286)(0.9714)/4699}; std error=0.00243
z=(0.3440)/0.00243=141.56
Strongly reject Ho and high likelihood that there is a higher percentage of customers who were against them.
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