Researchers intend to test whether evaluations of learning sources given by students match the theoretical distribution. A categorical variable, X, is measured in the FIVE-point scale. The observed frequencies obtained after having n = 1000 responses processed are shown in the table below along with hypothetical probabilities. Excellent Very Good Good Fair Poor Total Observed 132 140 121 63 44 500 Proportions 0.30 0.25 0.20 0.15 0.10 1 Expected At the significance level, a = 0.05, do you have sufficient evidence that the TRUE DISTRIBUTION of students' preferences DIFFERS from what was stated by the null hypothesis? • Find EXPECTED CO UNTS and place them in the table above. • Evaluate the goodness-of-fit test statistic • Determine CRITICAL VALUE (or VALUES) required for this procedure • State Rejection Rule and then formulate your DECISION Solution

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Researchers intend to test whether evaluations of learning sources given by students match the theoretical
distribution. A categorical variable, X, is measured in the FIVE-point scale. The observed frequencies
obtained after having n = 1000 responses processed are shown in the table below along with hypothetical
probabilities.
Excellent Very Good
Good
Fair
Рor
Total
Observed
132
140
121
63
44
500
Proportions
0.30
0.25
0.20
0.15
0.10
1
Expected
0.05, do you have sufficient evidence that the TRUE DISTRIBUTION of
At the significance level, a =
students' preferences DIFFERS from what was stated by the null hypothesis?
• Find EXPECTED CO UNTS and place them in the table above.
• Evaluate the goodness-of-fit test statistic
• Determine CRITICAL VALUE (or VALUES) required for this procedure
• State Rejection Rule and then formulate your DECISION
Solution
Transcribed Image Text:Researchers intend to test whether evaluations of learning sources given by students match the theoretical distribution. A categorical variable, X, is measured in the FIVE-point scale. The observed frequencies obtained after having n = 1000 responses processed are shown in the table below along with hypothetical probabilities. Excellent Very Good Good Fair Рor Total Observed 132 140 121 63 44 500 Proportions 0.30 0.25 0.20 0.15 0.10 1 Expected 0.05, do you have sufficient evidence that the TRUE DISTRIBUTION of At the significance level, a = students' preferences DIFFERS from what was stated by the null hypothesis? • Find EXPECTED CO UNTS and place them in the table above. • Evaluate the goodness-of-fit test statistic • Determine CRITICAL VALUE (or VALUES) required for this procedure • State Rejection Rule and then formulate your DECISION Solution
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