Answer:
Yes. more than 50% is true.
Step-by-step explanation:
Given that a poll is taken that shows that 795 out of 1500 randomly selected, independent people believe the rich should pay more taxes than they do.
Sample proportion p = [tex]\frac{795}{1500} =0.53[/tex]
Sample size n = 1500
Hypotheses would be
[tex]H_0: p = 0.50\\H_a: p >0.50[/tex]
(Right tailed test at 5% significance level)
Std error of proportion =[tex]\sqrt{\frac{P(1-P)}{n} } =\sqrt{\frac{0.5(1-0.5)}{1500} } \\=0.0129[/tex]
Proportion difference = p-P = [tex]0.53-0.5=0.03[/tex]
Test statistic= p diff/std error = [tex]\frac{0.03}{0.0129} \\=2.33[/tex]
p value <0.05
Hence reject null hypothesis
There is significant difference in the two proportions and hence a majority (more than 50%) believe the rich should pay more taxes than they do is supported by statistical evidence.
