The average life span in Ontario in 2009 was 81.3 years. A random sample of 17 obituaries from newspapers in Ontario showed ?¯x¯ = 82.5 and ?s = 2.6. If lifespan is assumed to be normally distributed, does this sample provide sufficient evidence to support that the average lifespan in Ontario has increased at the 1% significance level. A. What are the null and
The average life span in Ontario in 2009 was 81.3 years. A random sample of 17 obituaries from newspapers in Ontario showed ?¯x¯ = 82.5 and ?s = 2.6. If lifespan is assumed to be
A. What are the null and alternative hypotheses?
(Type "mu" for the symbol ?μ, "xbar" for the symbol ?¯x¯, "p" for the symbol ?p, or "phat" for the symbol ?̂ p^, e.g. mu >> 0.5 for the mean is greater than 0.5, xbar << 0.5 for the sample mean is less than 0.5, p not = 0.5 for the proportion is not equal to 0.5, phat = 0.5 for the sample proportion is equal to 0.5.
Percentages should be provided as values between 0 and 1. Please do not include units.)
?0H0 :
??Ha :
B. What is the test statistic value? (Include as many decimals as possible.)
Test statistic =
C. What is the associated p-value? (Include as many decimals as possible.)
p-value =
D. Statistical decision:
A. There is evidence to support the alternative hypothesis at the 1% significance level and we would therefore accept the null hypothesis.
B. There is not enough evidence to support the alternative hypothesis at the 1% significance level and we would therefore fail to reject the null hypothesis.
C. There is not enough evidence to support the alternative hypothesis at the 1% significance level and we would therefore reject the alernative hypothesis.
D. There is not enough evidence to support the alternative hypothesis at the 5% significance level and we would therefore fail to reject the null hypothesis.
E. There is evidence to support the alternative hypothesis at the 1% significance level and we would therefore reject the null hypothesis.
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