You wish to test out the fairness of a coin at a significance level of a = 0.01. You obtain a sample of size 589 in which there are 287 heads, leading you to believe that the proportion of heads is different from 0.5. With hypotheses Ho:p = 0.5 vs H1:p# 0.5, what is/are the critical value(s)? (Report answer accurate to 2 decimal places.) II 土 What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in the middle of your calculations.) What is the p-value for this sample? (Report answer accurate to 4 decimal places.) Our decision is to O reject the null O accept the null O fail to reject the null As such, the final conclusion is that O there is sufficient evidence to conclude that the population proportion of heads is different from 0.5. O there is not sufficient evidence to conclude that the population proportion of heads is different from 0.5. O there is sufficient evidence to conclude that the population proportion of heads is equal to 0.5. there is not sufficient evidence to conclude that the population proportion of heads is equal to 0.5. :79.404

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Please help I solving this statistics question. I’m not sure why my answers are wrong.
You wish to test out the fairness of a coin at a significance level of a = 0.01. You obtain a sample of size
589 in which there are 287 heads, leading you to believe that the proportion of heads is different from 0.5.
With hypotheses Ho:p= 0.5 vs H1:p # 0.5, what is/are the critical value(s)? (Report answer accurate
to 2 decimal places.)
What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in
the middle of your calculations.)
What is the p-value for this sample? (Report answer accurate to 4 decimal places.)
Our decision is to
O reject the null
O accept the null
O fail to reject the null
As such, the final conclusion is that
O there is sufficient evidence to conclude that the population proportion of heads is different from
0.5.
O there is not sufficient evidence to conclude that the population proportion of heads is different from
0.5.
O there is sufficient evidence to conclude that the population proportion of heads is equal to 0.5.
O there is not sufficient evidence to conclude that the population proportion of heads is equal to 0.5.
8.404
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Transcribed Image Text:You wish to test out the fairness of a coin at a significance level of a = 0.01. You obtain a sample of size 589 in which there are 287 heads, leading you to believe that the proportion of heads is different from 0.5. With hypotheses Ho:p= 0.5 vs H1:p # 0.5, what is/are the critical value(s)? (Report answer accurate to 2 decimal places.) What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in the middle of your calculations.) What is the p-value for this sample? (Report answer accurate to 4 decimal places.) Our decision is to O reject the null O accept the null O fail to reject the null As such, the final conclusion is that O there is sufficient evidence to conclude that the population proportion of heads is different from 0.5. O there is not sufficient evidence to conclude that the population proportion of heads is different from 0.5. O there is sufficient evidence to conclude that the population proportion of heads is equal to 0.5. O there is not sufficient evidence to conclude that the population proportion of heads is equal to 0.5. 8.404 10 etv DII F4 F3 F5 F7 FB F9 23 $ & * 4 5 7 8. W E Y D F G K R %24
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