The distribution of professional baseball player salaries has a mean of $3.2 million. An analyst believes that the mean salary for teams on the East Coast is different. The analyst randomly selects 50 baseball players from teams on the East Coast and records their annual salaries. The mean salary for the players in the sample is $3.9 million with a standard deviation of $2.1 million. A significance test at an alpha level a = 0.05 of produces a P-value of 0.02. What is the correct interpretation of the P-value?

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The distribution of professional baseball player salaries has a mean of $3.2 million. An analyst believes that
the mean salary for teams on the East Coast is different. The analyst randomly selects 50 baseball players
from teams on the East Coast and records their annual salaries. The mean salary for the players in the
sample is $3.9 million with a standard deviation of $2.1 million. A significance test at an alpha level a = 0.05 of
produces a P-value of 0.02. What is the corect interpretation of the P-value?
O Assuming the true mean salary is $3.2 million, there is a 2% probability that the null hypothesis is true by
chance alone.
O Assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean of $3.9
million by chance alone.
O Assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean at least
as extreme as $3.9 million by chance alone.
O Assuming the true mean salary is $3.2 million, there is a 98% probability that a sample mean of $3.9 million
or one more extreme will occur by chance alone.
Transcribed Image Text:The distribution of professional baseball player salaries has a mean of $3.2 million. An analyst believes that the mean salary for teams on the East Coast is different. The analyst randomly selects 50 baseball players from teams on the East Coast and records their annual salaries. The mean salary for the players in the sample is $3.9 million with a standard deviation of $2.1 million. A significance test at an alpha level a = 0.05 of produces a P-value of 0.02. What is the corect interpretation of the P-value? O Assuming the true mean salary is $3.2 million, there is a 2% probability that the null hypothesis is true by chance alone. O Assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean of $3.9 million by chance alone. O Assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean at least as extreme as $3.9 million by chance alone. O Assuming the true mean salary is $3.2 million, there is a 98% probability that a sample mean of $3.9 million or one more extreme will occur by chance alone.
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