No High School Associate\'s Bachelor\'s Graduate or Diploma Diploma Degree Profe
ID: 3321902 • Letter: N
Question
No High School Associate's Bachelor's Graduate or Diploma Diploma Degree Professional Degree Percent 14% 48% 8% 22% 0% In a survey of 4000 adults aged 25-34 in the year 2013, the counts for these levels of educational attainment are given in the table below. n = 4000): Highest Education Attainment-2013 No High School Associate's Bachelor's Graduate or Diploma Diploma Degree Degree Professional Degree ount 497 1922 346 886 349 The Test: Test whether or not the distribution of education attainment has changed from 2005 to 2013 (e) What is the null hypothesis for this test in terms of the probabilities of the outcomes? . Conduct this test at the 0.05 significance level. Ho: The probabilities are not all equal to 1/5 Ho: p1 = 0.14, p2 = 0.48, p3 = 0.08, p4 0.22, and 5-0.08. Ho: The distribution in 2013 is different from that in 20o5. (b) What is the value of the test statistic? Round to 3 decimal places unless your software automatically rounds to 2 decimal p (c) Use software to get the P-value of the test statistic. Round to 4 decimal places unless your software automatically rounds to 3 decimal places. P-value (d) What is the conclusion regarding the null hypothesis? reject Ho fail to reject Ho (e) Choose the appropriate concluding statement. We have proven that the distribution of 2013 education attainment levels is the same as the distribution in 2005 The data suggests that the distribution of 2013 education attainment levels is different from the distribution in 2005. There is not enough data to suggest that the distribution of 2013 education attainment levels is different from the distribution in 2005.Explanation / Answer
Result:
Ho: p1=0.14:p2=0.48,p3=0.08,p4=0.22
Chi square =11.871
P=0.0183
Reject Ho.
The data suggests that the distribution of 2013 education attainment levels is different from the distribution in 2005.
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
497
560.000
-63.000
7.088
1922
1920.000
2.000
0.002
346
320.000
26.000
2.113
886
880.000
6.000
0.041
349
320.000
29.000
2.628
4000
4000.000
0.000
11.871
11.871
chi-square
4
df
.0183
p-value
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
497
560.000
-63.000
7.088
1922
1920.000
2.000
0.002
346
320.000
26.000
2.113
886
880.000
6.000
0.041
349
320.000
29.000
2.628
4000
4000.000
0.000
11.871
11.871
chi-square
4
df
.0183
p-value
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