Children participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). 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 a mean of μ= 50 and a standard deviation of σ= 15. The sample of group participation adolescents had an average of M = 53.8. Does this sample provide enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population? Use a two-tail with α= .05. Please answer the question using all of the steps (null in word, alternative in words, null in symbols, alternative in symbols, critical region z, all steps in the analysis computing your computed z, make a decision, and give a conclusion.
Children participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). 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
Does this sample provide enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population? Use a two-tail with α= .05.
Please answer the question using all of the steps (null in word, alternative in words, null in symbols, alternative in symbols, critical region z, all steps in the analysis computing your computed z, make a decision, and give a conclusion.
Provide steps in an orderly steps by step manner.
Problem solving template
n =
M =
μ =
σ =
σm =
- State the hypotheses and select alpha (consider one tailed or two tailed)
Sate hypothesis in words:
Null stated in words:
Alternative stated in words:
State hypothesis in symbols: Hₒ:
State alternative in symbols: HI:
- Locate critical region for stated alpha
- Compute test statistic (z score)
Standard error σm:
Computed z:
- Make a decision about the null hypothesis and state a conclusion.
Decision: Are you going to reject the null or fail to reject the null
Conclusion: ex. The independent variable did or did not have a significant effect
Remember: if you reject there was significance
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