tesearchers 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...


tesearchers intend to test whether evaluations of learning sources given by students match the theoretical<br>distribution. A categorical variable, X, is measured in the FIVE-point scale. The observed frequencies<br>Obtaimed after having n = 1000 responses processed are shown in the table below along with hypothetical<br>probabilities.<br>Excellent Very Good<br>Good<br>Fair<br>Poor<br>Very Poor<br>Total<br>Observed<br>90<br>240<br>180<br>140<br>90<br>60<br>800<br>Proportions<br>0.10<br>0.30<br>0.20<br>0.20<br>0.10<br>0.10<br>Expected<br>At the significance level, a = 0.01, do you have sufficient evidence that the TRUE DISTRIBUTION of<br>students' preferences DIFFERS from what was stated by the null hypothesis?<br>• Find EXPECTED COUNTS and place them in the table above.<br>• Evaluate the goodness-of-fit test statistic<br>• Determine CRITICAL VALUE (or VALUES) required for this procedure<br>State Rejection Rule and then formulate your DECISION<br>Solution<br>

Extracted text: tesearchers 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 Obtaimed after having n = 1000 responses processed are shown in the table below along with hypothetical probabilities. Excellent Very Good Good Fair Poor Very Poor Total Observed 90 240 180 140 90 60 800 Proportions 0.10 0.30 0.20 0.20 0.10 0.10 Expected At the significance level, a = 0.01, do you have sufficient evidence that the TRUE DISTRIBUTION of students' preferences DIFFERS from what was stated by the null hypothesis? • Find EXPECTED COUNTS 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

Jun 09, 2022
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