Question

1. A positive correlation (r = 0.52) is found between hours spent playing with other children at age two and sociability in kindergarten. Answer the following questions based on this result.

a. What does a positive correlation mean in this specific scenario?

b. If someone concludes that requiring children to play with others at age 2 will increase sociability, what TWO common errors of interpreting correlations are being made?

c. Calculate the coefficient of determination for this scenario.

d. If a researcher concludes that there is a positive relationship between hours spent playing with other children and sociability, but was, in fact, INCORRECT in this decision, what type of error in statistical decision making did she make?

e. If this researcher had a sample size of 15 and started with a nondirectional hypothesis, what was the critical r-value (using the table in your textbook)?

f. Should she accept or reject her null hypothesis?

2. The admissions counselors at Brainy University believe that the freshman class they have just recruited is the brightest yet.

a. If they want to test this belief (that the freshmen are brighter than the other classes), what is the null hypothesis?

b. If they want to test this belief (that the freshmen are brighter than the other classes), what is the alternative hypothesis?

c. What is the symbolic notation for this alternative hypothesis?

d. Is this one or two-tailed?

3. Which type of correlation analysis would you run based on the given variables?

a. Ranking of high school football team standing and class rank.

b. The average number of alcoholic drinks consumed per week and the number of times one attended church last year.

c. The relationship between income ($) and whether someone has a current diagnosis of mental illness (Yes / No).

4. Answer the following questions using key terms from your assigned readings and presentations.

a. What does “p-value” stand for?

b. What is the standard percent of the risk for making a Type I error most social scientists are willing to make?

c. If the r_obt = 0.52 and the df = 10 and the test was one-tailed, what is the r_cv ?

d. Given the values provided in #17, should you accept or reject the null hypothesis?

Answer 1

2. The admissions counselors at Brainy University believe that the freshman class they have just recruited is the brightest yet.

a. If they want to test this belief (that the freshmen are brighter than the other classes), what is the null hypothesis?

Null hypothesis H0: There is no distinction in insight between the rookie class just selected and alternate understudies at brainy University.

$H_{0}:\mu _{1}\leq \mu _{2}$

b. If they want to test this belief (that the freshmen are brighter than the other classes), what is the alternative hypothesis?

Alternative hypothesis Ha:The first year recruit class that has quite recently been selected is more smart than the current upperclassman at brainy University.

$H_{a}:\mu _{1}> \mu _{2}$

c. What is the symbolic notation for this alternative hypothesis?

Symbolic notation of the alternative hypothesis mentioned below,

$H_{a}:\mu _{1}> \mu _{2}$

d. Is this one or two-tailed?

This is one followed theory test in light of the fact that the specialist predicts the heading of the test bunches by plainly expressing affirmation advocates trust the green bean class is progressively clever.

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