Question

Determine if there is sufficient evidence to conclude the average amount of divorces is less than or equal to 4000 in the United States and territories at the 0.10 level of significance.

1. Clearly state a null and alternative hypothesis
2. Give the value of the test statistic
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.

using this data sample size is 52

Summary Table for Divorces.
Mean	1443.847826
Median	1321.5
Standard Deviation	1198.3616
Minimum Values	71
Maximum Values	6055

Answer 1

Solution :

Given that,

= 1443.847826

s =1198.3616

n = 52

a.) Hypothesis:

H0 : 4000

Ha :   4000

Test Statistic:

t = ( - ) / (s /n)

t = (1443.847826- 4000 ) / ( 1198.3616/ 52)

t = -15.382

P - value = 0.0000

Decision region : if P- value < 0.05 then reject H0.

P-value = 0.0000 < 0.05, we Reject Null hypothesis.

There is not sufficient evidence to support the claim.

There is not sufficient evidence to conclude the average amount of divorces is less than or equal to 4000 in the United States and territories at the 0.10 level of significance