Post a behavioral research situation that could use a Pearson coefficient research study and a chi square research study. Present the rationale for each selection. Be very specific in your presentation.
Questions similar to this were posted five years ago. It's amazing the curriculum has not changed.
Brittany, out of curiosity, how much is tuition at your school?
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An online site presented this question, "Would the recent norovirus outbreak deter you from taking a cruise?" Among the 34 comma 917 people who responded, 69% answered "yes." Use the sample data to construct a 95% confidence interval estimate for the proportion of the population of all people who would respond "yes" to that question
In a hypothetical behavioral research situation, we can consider a study investigating the relationship between students' sleep habits and their academic performance. Let's discuss how a Pearson coefficient research study and a chi-square research study could be employed in this context.
1. Pearson Coefficient Research Study:
In this scenario, a Pearson coefficient research study could be conducted to examine the correlation between the number of hours of sleep students get before an exam and their subsequent academic performance. The rationale for choosing the Pearson coefficient is as follows:
a. Variable selection: The variables of interest in this study would include the number of hours of sleep (continuous variable) and academic performance (continuous variable).
b. Rationale: The Pearson coefficient (Pearson's correlation coefficient) is suitable for examining the strength and direction of a linear relationship between two continuous variables, such as the number of hours slept and academic performance. It measures the degree of correlation on a scale ranging from -1 to +1, where -1 represents a perfect negative correlation, 0 represents no correlation, and +1 represents a perfect positive correlation. By calculating the Pearson coefficient, researchers can quantify the relationship between sleep hours and academic performance and determine if there is a significant association.
2. Chi-Square Research Study:
To complement the Pearson coefficient study, a chi-square research study could be conducted to explore the relationship between students' sleep habits (categorized as sufficient sleep or insufficient sleep) and their performance on a specific type of exam, such as multiple-choice questions. The rationale for choosing chi-square is as follows:
a. Variable selection: The variables in this study would include sleep habits (categorical variable: sufficient vs. insufficient) and academic performance (categorical variable: pass vs. fail on the exam).
b. Rationale: The chi-square test is appropriate when examining the association between two categorical variables. In this case, it can determine if there is a significant relationship between sleep habits (categorical) and academic performance (categorical), specifically for a particular type of exam. By applying the chi-square test, researchers can compare observed frequencies with expected frequencies to assess if there is a significant association or if any observed differences are due to chance alone.
In summary, in the research scenario exploring the relationship between students' sleep habits and their academic performance, a Pearson coefficient study would evaluate the correlation between continuous variables (sleep hours and performance), while a chi-square study would examine the association between categorical variables (sleep habits and performance on a specific type of exam). By employing both methods, researchers can gain a comprehensive understanding of the relationship between sleep and academic performance from different angles.