A poll showed the approval rating to be 0.45 (45 %). A second poll based on 2500 randomly selected voters showed that 1185 app
roved of the job the president was doing. Do the results of the second poll indicate that the proportion of voters who approve of the job the president is doing is significantly higher than the original level? Explain. Assume the alpha equals0.05 level of significance.
Given that a poll showed the approval rating to be 0.45 (45 %)
Second poll n =2500: sample p = 1185/2500 = 0.474
H0: p = 0.45
Ha: p not equals 0.45
(Two tailed test)
p difference = 0.024
z-statistic 0.179
Significance level P = 0.8577
95% CI of observed proportion 0.24% to 0.83%
Since p>0.05 we accept null hypothesis
The results of the second poll do not indicate that the proportion of voters who approve of the job the president is doing is significantly higher than the original level
