Question
In: Statistics and Probability
We now wish to decide if there “use of e-cigarettes” and “income category” are dependent. To...
We now wish to decide if there “use of e-cigarettes” and “income category” are dependent. To assist with this process, the table from before has been augmented with most of the expected frequencies (listed in parentheses):
|
<$35,000 |
$35,000-$99,999 |
$100,000+ |
Total |
|
|
Vape |
47 (34) |
57 (58) |
19 (31) |
123 |
|
Do Not Vape |
381 (394) |
659 (???) |
362 (???) |
1402 |
|
Total |
428 |
716 |
381 |
1525 |
2.a. Find the missing two expected frequencies, labeled as (???). For credit, be sure to show your work.
2.b From a brief analysis of the frequencies, do you believe that there is convincing evidence of a dependence relationship between income category and whether or not a person vapes? Explain.
2.c. Based on the given information, the test statistic computes to be 10.47. Based on this, what is the conclusion of the hypothesis test at the 0.05 significance level? Be sure to justify your answer by using either the p-value or critical value method.
Solutions
orchestra answered 2 years agoRelated Solutions
1) A group of researchers would like to study the effect of electronic cigarettes (e-cigarettes) use...
1) A group of researchers would like to study the effect
of electronic cigarettes (e-cigarettes) use on getting lung cancer.
500 subjects were randomly sampled from e-cigarettes users and 500
subjects were randomly sampled from non-users for monitoring. The
incidence of lung cancer for the two groups are reported in the
following contingency table.
Lung Cancer
No Lung Cancer
e-cigarette Users
120
380
Non e-cigarette Users
50
450
Based on this sample, what is an estimated population
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Gallup recently conducted a survey about the proportion of Americans who use e-cigarettes (vape). The survey...
Gallup recently conducted a survey about the proportion of
Americans who use e-cigarettes (vape). The survey data was
collected via random-digit-dial telephone interviews conducted July
1-12, 2019 with a random sample of 1525 adults living in all 50
U.S. states with a minimum quota of 70% cellphone respondents and
30% landline respondents, with additional minimum quotas by time
zone within region. The following table summarizes their results
for men and women:
Men
Women
Total
Vape
92
31
123
Dont Vape...
Gallup recently conducted a survey about the proportion of Americans who use e-cigarettes (vape). The following...
Gallup recently conducted a survey about the proportion of
Americans who use e-cigarettes (vape). The following example is
based on hypothetical data that is meant to be similar to the data
collected by Gallup.
The following table considers survey data about annual household
income and whether or not a person vapes.
<$35,000
$35,000-$99,999
$100,000+
Total
Vape
47
57
19
123
Do Not Vape
381
659
362
1402
Total
428
716
381
1525
Problem 1. Based on recent data, about 28%...
Gallup recently conducted a survey about the proportion of Americans who use e-cigarettes (vape). The following...
Gallup recently conducted a survey about the proportion of
Americans who use e-cigarettes (vape). The following example is
based on hypothetical data that is meant to be similar to the data
collected by Gallup.
The following table considers survey data about annual household
income and whether or not a person vapes.
<$35,000
$35,000-$99,999
$100,000+
Total
Vape
47
57
19
123
Do Not Vape
381
659
362
1402
Total
428
716
381
1525
Problem 1. Based on recent data, about 28%...
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