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popt9710
09.11.2019 •
Mathematics
Suppose a poll is taken that shows that 795795 out of 15001500 randomly selected, independent people believe the rich should pay more taxes than they do. test the hypothesis that a majority (more than 50%) believe the rich should pay more taxes than they do. use a significance level of 0.05.
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Ответ:
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 =![\frac{795}{1500} =0.53](/tpl/images/0366/8002/ea0f0.png)
Sample size n = 1500
Hypotheses would be
(Right tailed test at 5% significance level)
Std error of proportion =![\sqrt{\frac{P(1-P)}{n} } =\sqrt{\frac{0.5(1-0.5)}{1500} } \\=0.0129](/tpl/images/0366/8002/9fc08.png)
Proportion difference = p-P =![0.53-0.5=0.03](/tpl/images/0366/8002/24c7f.png)
Test statistic= p diff/std error =![\frac{0.03}{0.0129} \\=2.33](/tpl/images/0366/8002/3194e.png)
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.
Ответ:
50 10 dude are question makes no sense care to clarify
Step-by-step explanation:
Clarify the question for answers!