Question

In: Statistics and Probability

Not Proficient Approaching Proficiency Basic Proficiency Advanced Proficiency High School 13 18 45 24 Statewide 21%...

	Not Proficient	Approaching Proficiency	Basic Proficiency	Advanced Proficiency
High School	13	18	45	24
Statewide	21%	27%	39%	13%

1. Based on the percentages that were observed statewide, if the percent of students in each category at the high school did not differ from the statewide percentages, what would be the expected values for each classification?

2. What are the observed percentages for each category at the local high school? (Note: SPSS does not include this information in the output. It must be manually calculated by dividing the number in each category by the total number of students and multiplying by 100)

3. Write an appropriate null hypothesis for this analysis.

4. What is the value of the chi-square statistic?

5 What are the reported degrees of freedom?

6. What is the reported level of significance?

7. Based on the results of the one sample chi-square test, is there a statistically significant different between the distribution of students at the local high school and the statewide distribution?

8. Report and interpret your findings as they might appear in an article.

Solutions

Expert Solution

The SPSS output is:

expected

21.000

27.000

39.000

13.000

observed

13%

18%

45%

24%

3. H₀: The percent of students in each category at the high school did not differ from the statewide percentages.

4. 16.278

5. 3

6. 0.05

7. Since the p-value (0.001) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a difference between the distribution of students at the local high school and the statewide distribution.

8. It seems that student works well in Basic Proficiency and Advanced Proficiency in comparison to statewide percentages.

orchestra answered 1 year ago

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