can you help me find the test statistics and p-value A data set lists earthquake depths. The summary statistics are: \( n = 500 \), \( \bar{x} = 4.81 \) km, \( s = 4.54 \) 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 4.00 km. 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.** \( H_0: \mu = 4.00 \) km \( H_1: \mu \neq 4.00 \) km- **B.** \( H_0: \mu = 4.00 \) km \( H_1: \mu > 4.00 \) km- **C.** \( H_0: \mu = 4.00 \) km \( H_1: \mu < 4.00 \) km- **D.** \( H_0: \mu = 4.00 \) km \( H_1: \mu \neq 4.00 \) km*Choice D is selected.***Determine the test statistic.***(Round to two decimal places as needed.)*Enter your answer in the answer box and then click Check Answer.

Name: can you help me find the test statistics and p-value A data set lists
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: can you help me find the test statistics and p-value A data set lists earthquake depths. The summary statistics are: \( n = 500 \), \( \bar{x} = 4.81 \) km, \( s = 4.54 \) km. Use a 0.01 significance level to test the claim of a seismologist that the