You wish to test the following claim at a significance level of α=0.005. H0:p=0.46 H1:p>0.46 You obtain a sample of size 497 in which there are 248 successful observations. 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.) Incorrect What is the p-value for this sample? (Report answer accurate to 4 decimal places.)
You wish to test the following claim at a significance level of α=0.005.
H0:p=0.46 H1:p>0.46
You obtain a
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.)
Incorrect
What is the p-value for this sample? (Report answer accurate to 4 decimal places.)
You wish to test out the fairness of a coin at a significance level of α=0.10. You obtain a sample of size 476 in which there are 249 heads, leading you to believe that the proportion of heads is more than 0.5.
With hypotheses H0: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
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that
- there is sufficient evidence to conclude that the population proportion of heads is greater than 0.5.
- there is not sufficient evidence to conclude that the population proportion of heads is greater than 0.5.
- 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.
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