A data set lists earthquake depths. The summary statistics are n=500 x=5.78​km, s=4.84 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative​ hypotheses?     A. H0​:μ=5.00km H1​:μ>5.00km   B. H0​:μ≠5.00km H1​:μ=5.00km   C. H0​:μ=5.00km H1​:μ<5.00km   D. H0​:μ=5.00km H1​:μ≠5.00km Determine the test statistic.   __________ ​(Round to two decimal places as​ needed.) Determine the​ P-value.   _____________ ​(Round to three decimal places as​ needed.) State the final conclusion that addresses the original claim.   (1)  ________________ H0. There is (2) _________________evidence to conclude that the original claim that the mean of the population of earthquake depths is 5.00km (3)_____________      correct. (1)     Fail to reject OR     Reject (2)     sufficient OR     not sufficient (3)     is OR     is not

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A data set lists earthquake depths. The summary statistics are n=500 x=5.78​km, s=4.84 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.
What are the null and alternative​ hypotheses?
 
 
A.
H0​:μ=5.00km
H1​:μ>5.00km
 
B.
H0​:μ≠5.00km
H1​:μ=5.00km
 
C.
H0​:μ=5.00km
H1​:μ<5.00km
 
D.
H0​:μ=5.00km
H1​:μ≠5.00km
Determine the test statistic.
 
__________
​(Round to two decimal places as​ needed.)
Determine the​ P-value.
 
_____________
​(Round to three decimal places as​ needed.)
State the final conclusion that addresses the original claim.
 
(1) 
________________ H0. There is (2) _________________evidence to conclude that the original claim that the mean of the population of earthquake depths is
5.00km (3)_____________ 
 
 
correct.
(1) 
 
 Fail to reject OR 
 
 Reject
(2) 
 
 sufficient OR 
 
 not sufficient
(3) 
 
 is OR 
 
 is not
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