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scoutrussel4life
30.11.2019 •
Mathematics
Five hundred draws are made at random with replacement from a box of numbered tickets; 276 are positive. someone tells you that 50% of the tickets in the box show positive numbers. do you believe it? answer yes or no, and explain.
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Ответ:
No. we cannot believe it as per hypothesis test done.
Step-by-step explanation:
Given that five hundred draws are made at random with replacement from a box of numbered tickets; 276 are positive.
To test the claim whether the proportion for positive numbers is 50% let us conduct a hypothesis test for proportions.
(Two tailed test at 5% significance level)
Sample proportion p =![\frac{276}{500} =0.552](/tpl/images/0396/6512/878d8.png)
Std error of p =![\sqrt{\frac{P(1-P)}{500} } \\=0.02236](/tpl/images/0396/6512/d1a8a.png)
(assuming null hypothesis to be true)
Here P = 0.50
Test statistic = p difference/std error =![\frac{0.052}{0.02236} \\=2.33](/tpl/images/0396/6512/5425f.png)
Z test is used for this proportion.
p value = 0.0198
Since p value <0.05 we reject null hypothesis
At 95% confidence level, there is statistical evidence to show that sample mean is not 50%
Ответ:
btw B is not the anwser
Step-by-step explanation: