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Name that Scenario: One important aspect in statistics is to understand which st

ID: 3153827 • Letter: N

Question

Name that Scenario: One important aspect in statistics is to understand which statistical methods or procedures are appropriate to use to address the research problem or question of interest. For each description of a research question below, select the one corresponding statistical analysis technique most appropriate for addressing that research question.

a.

The polling organization surveys 1000 people in a large community to assess if the percentage of people in the community living in a mobile home is more than 10%.


i. Simple linear regression
ii. One-sample t-test for a population mean
iii. Paired t-test for a population mean difference
iv. Two-sample t-test for the comparison of two population means
v. One-sample Z-test for a population proportion
vi. Two-sample Z-test for the comparison of two population proportions
vii. ANOVA for comparing many population means
viii. Chi-squared test of goodness of fit
ix. Chi-squared test of independence
x. Chi-squared test of homogeneity

(1 pts)

b.

A polling organization surveys 1000 people in a large community to assess if the average number of hours that people watch television is more than 5 hours a day.


i. Simple linear regression
ii. One-sample t-test for a population mean
iii. Paired t-test for a population mean difference
iv. Two-sample t-test for the comparison of two population means
v. One-sample Z-test for a population proportion
vi. Two-sample Z-test for the comparison of two population proportions
vii. ANOVA for comparing many population means
viii. Chi-squared test of goodness of fit
ix. Chi-squared test of independence
x. Chi-squared test of homogeneity

(1 pts)

c.

The polling organization surveys 1200 adults, records their age (in years) and how many hours they typically spend watching television per day, to assess if there is a significant relationship between age and hours of daily television viewing.


i. Simple linear regression
ii. One-sample t-test for a population mean
iii. Paired t-test for a population mean difference
iv. Two-sample t-test for the comparison of two population means
v. One-sample Z-test for a population proportion
vi. Two-sample Z-test for the comparison of two population proportions
vii. ANOVA for comparing many population means
viii. Chi-squared test of goodness of fit
ix. Chi-squared test of independence
x. Chi-squared test of homogeneity

(1 pts)

d.

The polling organization polls people on a regular basis to monitor their changing confidence in the economy. The organization creates a numerical index (from 0 to 100) of confidence in the economy from answers to a questionnaire. Based on a random sample of people who were polled both in 2011 and again in 2012, the organization will assess if confidence in the economy changed from 2011 to 2012, on average.


i. Simple linear regression
ii. One-sample t-test for a population mean
iii. Paired t-test for a population mean difference
iv. Two-sample t-test for the comparison of two population means
v. One-sample Z-test for a population proportion
vi. Two-sample Z-test for the comparison of two population proportions
vii. ANOVA for comparing many population means
viii. Chi-squared test of goodness of fit
ix. Chi-squared test of independence
x. Chi-squared test of homogeneity

(1 pts)

e.

The polling organization conducts a survey of adults between the ages of 30 and 50 years old to assess if there is an association between marital status (married, divorced, never-married) and smoking status (smoker, non-smoker).


i. Simple linear regression
ii. One-sample t-test for a population mean
iii. Paired t-test for a population mean difference
iv. Two-sample t-test for the comparison of two population means
v. One-sample Z-test for a population proportion
vi. Two-sample Z-test for the comparison of two population proportions
vii. ANOVA for comparing many population means
viii. Chi-squared test of goodness of fit
ix. Chi-squared test of independence
x. Chi-squared test of homogeneity

(1 pts)

Explanation / Answer

a.

The polling organization surveys 1000 people in a large community to assess if the percentage of people in the community living in a mobile home is more than 10%.

v. One-sample Z-test for a population proportion

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b.

A polling organization surveys 1000 people in a large community to assess if the average number of hours that people watch television is more than 5 hours a day.


ii. One-sample t-test for a population mean

------------------

c.

The polling organization surveys 1200 adults, records their age (in years) and how many hours they typically spend watching television per day, to assess if there is a significant relationship between age and hours of daily television viewing.

i. Simple linear regression

-------------------

d.

iii. Paired t-test for a population mean difference

--------------------

e.

The polling organization conducts a survey of adults between the ages of 30 and 50 years old to assess if there is an association between marital status (married, divorced, never-married) and smoking status (smoker, non-smoker).

ix. Chi-squared test of independence

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