e. Use PSPP/SPSS to calculate the Chi Square value. Copy/paste the output table. | Gender Observed N Expected N Residual Male 45 77.5 -32.5 Female 110 77.5 32.5 Total 155 Test Statistics Gender Chi-Square 27.258a df 1 Asymp. Sig. <.001 a. O cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 77.5.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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  1.       Using the following data, test the question of whether an equal number of boys [code=1] and girls [code=2] participate in soccer at the elementary level at the .01 level of significance. [The data are available as Chapter 17 Data Set 3.] Use SPSS or some other statistical program to compute the exact probability of the chi-square value. What’s your conclusion?Gender

Boys = 1

Girls = 2

45

55 

  1.       What is the null hypothesis in words and in symbols?  (Make sure to replace the numbered subscripts with the categories you are actually testing in this data set).
  2.       What is the alternative hypothesis in words and in symbols?
  3.       What is your degrees of freedom for the test? How did you arrive at this answer?
  4.       Based on c. above and using an alpha =.05, what is the critical value for the test?
  5.       Use PSPP/SPSS to calculate the Chi Square value. Copy/paste the output table. (result in picture)
  6.       What is the Chi Square value? What is the p-value?
  7.       Based on f., do you reject or fail to reject the null hypothesis? Why? Justify your answer.
  8.       In everyday language, what does this mean about the results of the test?



e.
Use PSPP/SPSS to calculate the Chi Square value. Copy/paste the output table.
|
Gender
Observed N Expected N
Residual
Male
45
77.5
-32.5
Female
110
77.5
32.5
Total
155
Test Statistics
Gender
Chi-Square
27.258a
df
1
Asymp. Sig.
<.001
a. O cells (0.0%)
have expected
frequencies less
than 5. The
minimum
expected cell
frequency is 77.5.
Transcribed Image Text:e. Use PSPP/SPSS to calculate the Chi Square value. Copy/paste the output table. | Gender Observed N Expected N Residual Male 45 77.5 -32.5 Female 110 77.5 32.5 Total 155 Test Statistics Gender Chi-Square 27.258a df 1 Asymp. Sig. <.001 a. O cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 77.5.
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