The following data represent the smoking status by level of education for residents 18 years old or older living in a certain country from a random sample of 999 residents. Complete parts (a) and (b)
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.
The following data represent the smoking status by level of education for residents 18 years old or older living in a certain country from a random sample of 999 residents. Complete parts (a) and (b).
![(b) Construct a conditional distribution of smoking status by number of years of education, and draw a bar graph. Does this evidence support your conclusion in part (a)?
Complete the table below.
Number of Years of
Smoking Status
Education
Current
Former
Never
< 12
12
13-15
16 or more
(Type integers or decimals rounded to three decimal places as needed.)
Choose the correct graph below.
A.
С.
0.5-
0.4-
0.3-
0.2-
0.5-
0.5-
0.4-
0.3-
0.4-
0.3-
0.2-
0.2-
0.1-
0.1-
0.1-
<12
12 13-15 16+
0-
<12
12 13-15 16+
0-
<12
12 13-15 16+
Current
O Former
O Never
Does this evidence support your conclusion in part (a)?
Relative Frequency
Relative Frequency
B.
o o o o
Relative Frequency](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52a4f1f1-ce5b-40a6-9442-4d09673e420e%2Fb1769aa5-2ce4-4a62-a71a-d4f31fbb5b28%2Fwamwxv_processed.png&w=3840&q=75)
![Number of Years of
Smoking Status
The following data represent the
smoking status by level of education Education
for residents 18 years old or older
living in a certain country from a
random sample of 999 residents.
Complete parts (a) and (b).
Current
Former
Never
< 12
160
88
211
12
119
54
133
13-15
45
30
48
16 or more
38
18
55
.....
(a) Test whether smoking status and level of education are independent at the a = 0.01 level of significance.
What are the hypotheses?
O A. Ho: The three smoking statuses are independent.
H,: The three smoking statuses are dependent.
B. Ho: Smoking status and level of education are independent.
H,: Smoking status and level of education are dependent.
C. Ho: Smoking status and level of education are dependent.
H,: Smoking status and level of education are independent.
Find the test statistic.
X6 = (Round to three decimal places as needed.)
Find the P-value.
P-value =
(Round to three decimal places as needed.)
What is the conclusion of the hypothesis test?
The P-value is
a, so
Ho. There
sufficient evidence that smoking status and level of education are related.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52a4f1f1-ce5b-40a6-9442-4d09673e420e%2Fb1769aa5-2ce4-4a62-a71a-d4f31fbb5b28%2Ftcnj1fv_processed.png&w=3840&q=75)
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