Question

Determine if there is sufficient evidence to conclude the average amount of deaths is equal to 6000 in the United States and territories at the 0.10 level of significance.

Summary Table for Deaths
AVERAGE	4,292
MEDIAN	3,085
STANDARD DEVIATION	4292.71585
MAX	20,895
MIN	316

1. Clearly state a null and alternative hypothesis
2. Give the value of the test statistic n=52
3. Report the P-Value
4. Clearly state your conclusion (Reject the Null or Fail to Reject the Null)
5. Explain what your conclusion means in context of the data.

Answer 1

Null and alternative hypotheses

Ho : = 6000

H1 : 6000

Test statistic t

t = ( xbar - )/(s/√n)

t = ( 4292 - 6000)/(4292.7159/√52)

t = -2.87

p-value for t = -2.87 an d.f = n -1 = 51

p-value = 2* P( t < -2.87) d.f = 51

p-value = 0.0060

Here p-value = 0.006 < 0.10

Conclusion : reject the null hypothesis

There is no sufficient evidence to conclude that the average amount of deaths is equal to 6000 in the United States and territories at the 0.10 level of significance.