marriages Mean: 182916.67 standard Deviation: 43928.57 n= 12 Determine if there is sufficient evidence to conclude...

marriages
Mean: 182916.67
standard Deviation: 43928.57
n= 12

Determine if there is sufficient evidence to conclude the average amount of marriages is greater or equal to 2500 in the United States and territories at the .05 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.

Solutions

Expert Solution

Given that x = 182916767 S = 43928.57 D = 12 a= 0,05 1. Nell and Alternative hypothesis. Hoi l, 2500 Hoi y <2500 This corresponds to a left-tailed test 2. Test statistics t- -4 = 182916.67 - 2500 I s/n - 43928.57/12 = 127.227 Test statistic (t) = 14.227 3. p. value. P-value = o(t = 14.227) = 1 Ip-value = 1 4. Conclusion - Here p-value = 12 X=0.05 fail to reject null hypotheers to s. Therefore, there is sufficient evidence to claim that the average amout of marriges is gretter than equal to 25oo.

orchestra answered 1 year ago

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