You wish to determine if there is a negative linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.01 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 27 18 26 28 66 49 44 62 65 36 36 21 31 44 Ho: ρ0 На: р « 0 Find the Linear Correlation Coefficient Find the p-value p-value = The p-value is O Greater than a O Less than (or equal to) a The p-value leads to a decision to O Accept Ho O Reject Ho O Do Not Reject Ho
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![You wish to determine if there is a negative linear correlation between the age of a driver and the number
of driver deaths. The following table represents the age of a driver and the number of driver deaths per
100,000. Use a significance level of 0.01 and round all values to 4 decimal places.
Driver Age
Number of Driver Deaths per 100,000
66
27
49
44
18
26
62
28
65
36
36
44
21
31
Ho: p = 0
На: р « 0
Find the Linear Correlation Coefficient
r =
Find the p-value
p-value =
The p-value is
O Greater than a
O Less than (or equal to) a
The p-value leads to a decision to
O Accept Ho
O Reject Ho
O Do Not Reject Ho](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d3d9db3-740f-497e-a2a5-fa4d7d0727de%2F109bddfd-3957-4e13-84f3-f777cee344ca%2Fogzv68y_processed.png&w=3840&q=75)
![The conclusion is
O There is insufficient evidence to make a conclusion about the linear correlation between driver age
and number of driver deaths.
There is a significant positive linear correlation between driver age and number of driver deaths.
O There is a significant linear correlation between driver age and number of driver deaths.
O There is a significant negative linear correlation between driver age and number of driver deaths.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d3d9db3-740f-497e-a2a5-fa4d7d0727de%2F109bddfd-3957-4e13-84f3-f777cee344ca%2Ffyr2q4j_processed.png&w=3840&q=75)
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