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SHOW YOUR WORK AND USE TWO DECIMALS FOR ALL CALCULATIONS 1. A study examines whe

ID: 3061237 • Letter: S

Question

SHOW YOUR WORK AND USE TWO DECIMALS FOR ALL CALCULATIONS 1. A study examines whether self-esteem affects depression in children. A sample of 30 children with low self-esteem is given a standardized test for depression. The average score for the group is M 94.3. For the general population, scores on the depression test form a normal distribution with a mean of = 91 and a standard deviation of =16. A researcher wants to test whether children with low self- esteem show significantly more depression? Test with = .05. a. What are the IV and the DV b. State the research question and the hypotheses c. What is the critical value of z? d. Calculate the test statistic e. What decision can you make? f. What does that decision mean? g. What type of error could you be making? What would it mean?

Explanation / Answer

Solutiona:

IV=independent variable=self esteem

DV=dependent variable =depression

SOlutionb:

whether children with low esteem show significantly more depression

nUll hypothesis:

H0: mean=91

Alternative Hypothesis:

H1: mean>91

Right tail z test

Solutionc:

Z crit for 95%=+1.96

Solutiond:

test statistic

Z=sample mean-population mean/population sd/sqrt(sample size)

=94.3-91/16/sqrt(30)

Z=1.13