Question

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.

1) 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%.
2) 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.
3) 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.
4) 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.
5) 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).

a) Simple linear regression.
b) One-sample t-test for a population mean.
c) Paired t-test for a population mean difference.
d) Two-sample t-test for the comparison of two population means
e) One-sample z-test for a population proportion
f) Two-sample z-test for the comparison of two population proportions
g) ANOVA for comparing many population means
h) Chi-squared test of goodness of fit
i) Chi-squared test of independence
j) Chi-squared test of homogeneity

Answer 1

the answer is a: regression and correlation analysis.

We can clearly see in each of the descriptions that there is an independent factor or variable which affects or affects a dependent variable.

Explanation:

Many times decisions are based on the relationship between two or more variables.

Regression Analysis is a statistical procedure that studies the functional relationship between variables, in order to predict one as a function of the other / s and the correlation analysis corresponds to a group of statistical techniques used to measure the intensity of the relationship between two variables, therefore we see in each of the descriptions an example of this type of statistical data analysis.