Question

Does participation in sports, cultural groups, and youth groups improve self esteem for adolescents? What do you think? A study done by McGee et al. (2006) claims that involvement in these groups does improve self-esteem.

Following the steps for statistical hypothesis testing, you embark on an independent investigation.

For your study, you have randomly selected 100 adolescents with
a history of group participation and give them a standardized
self-esteem questionnaire. The sample of group-participation
adolescents scored a mean of 46.1 on the questionnaire. You also
know that for the general population of adolescents, scores on this
questionnaire form a normal distribution with a population mean
(*μ*) of 41.7 and a population standard deviation
(*σ**x*) of 18.2

7) Elaborate on what this test allows us to conclude about how participation in sports, cultural groups, and youth groups affects self-esteem for adolescents. In other words, interpret your results. What does the data tell us about our research question?

8) Now suppose instead of a two-tailed test you are interested in a one-tailed test (After all you were only interested in whether participation would improve self-esteem). Draw a sampling distribution for a one-tailed test using the standard .05 level for alpha. Again, in your drawing mark your critical value (Zcrit), your rejection region, and your obtained value (Zobt).

9) Again, compare your Zobt to your Zcrit and interpret your Zobt. Is your conclusion the same or different than it was for the two-tailed test?

10) Despite our best attempts in using the logic of probability to make the appropriate inferences from a sample, we run the risk of committing errors. In your own words, describe what the two types of errors are, then indicate what type of errors you are at risk of committing in (6) and in (9) based on your statistical decision?

Answer #1

7) We will conduct a Z test for the population mean as the standard deviation of the population is mentioned.This test allows us to conclude that participation in sports, cultural groups, and youth groups increases the self-esteem for adolescents.

8-9)

The conclusion is same for rejection of the null hypothesis.

10) two type of errors can occur

1) a **type I error** is the rejection of a true
null hypothesis (also known as a "false positive" finding),
2) **type II error** is failing to reject a
false null hypothesis (also known as a "false negative"
finding).

Childhood participation in sports, cultural groups, and youth
groups appears to be related to improved self-esteem for
adolescents. In a representative study, a sample of n= 100
adolescents with a history of group participation is given a
standardized self- esteem questionnaire. For the general population
of adolescents, scores on this questionnaire form a normal
distribution with μ = 40 and σ = 12. The sample of
group-participation adolescents had an average
of X=43.36. Does this sample provide enough evidence to
suggest...

Childhood participation in sports, cultural groups and youth
groups appears to be related to improved self-esteem for
adolescents (McGee et al., 2006). A sample of n =100 adolescents
with a history of group participation is given a standardized
self-esteem questionnaire. For the general population of
adolescents, scores on this questionnaire form a normal
distribution with a mean of μ = 40 and a standard deviation of σ =
12. The sample of group participation adolescents had an average of
M...

Participation in organized social activities (e.g., sports,
clubs/groups) seems to improve self-esteem in adolescents. In one
study, a sample of 64 adolescents with a history of group
participation are given a self-esteem questionnaire. Researchers
already know that the scores on this questionnaire are normally
distributed and that the general population of adolescents have a
mean score of µ = 55 and σ = 12. The sample produces a mean score
of M = 52. Perform a two-tailed z-test with an...

One of the most widely administered psychological assessments is
the Rosenberg Self-Esteem Scale (1965), a 10-item scale that
assesses global self-worth by measuring both positive and negative
feelings about the self. Scores on this standardized self-esteem
questionnaire range from 10-100, with higher scores indicating
higher levels of self-esteem. For the general population of
American teenagers, the average score is 50 points (SD = 15
points).
Childhood participation in organizations such as sports,
cultural groups, religious groups, and school clubs may...

What tools could AA leaders have used to increase their
awareness of internal and external issues?
???ALASKA AIRLINES: NAVIGATING CHANGE
In the autumn of 2007, Alaska Airlines executives adjourned at
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outside to relax, unwind and enjoy a bonfire
on the shore of Semiahmoo Spit, outside the meeting venue in
Blaine, a seaport town in northwest
Washington state.
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