It's proposed that the average life expectancy these days is 53.5, but recent data suggests it might be more than that. A sample size of 96 countries found a sample mean life expectancy of 59 years with a standard deviation of 13.9 years. You want to formulate and test a hypothesis that can be used to challenge the validity of the claim at a significance level of 0.05. With hypotheses H0:μ≤53.5 vs H1:μ>53.5, 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 3 decimal places.) 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 mean life expectancy is equal to 53.5. there is not sufficient evidence to conclude that the population mean life expectancy is equal to 53.5. there is sufficient evidence to conclude that the population mean life expectancy is greater than 53.5. there is not sufficient evidence to conclude that the population mean life expectancy is greater than 53.5.
It's proposed that the average life expectancy these days is 53.5, but recent data suggests it might be more than that.
A
You want to formulate and test a hypothesis that can be used to challenge the validity of the claim at a significance level of 0.05.
With hypotheses H0:μ≤53.5 vs H1:μ>53.5, 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 3 decimal places.)
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 mean life expectancy is equal to 53.5.
- there is not sufficient evidence to conclude that the population mean life expectancy is equal to 53.5.
- there is sufficient evidence to conclude that the population mean life expectancy is greater than 53.5.
- there is not sufficient evidence to conclude that the population mean life expectancy is greater than 53.5.
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