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Textbook Expert
Textbook ExpertVerified Tutor
16 Dec 2021

Given information

Use the following information to answer the next five exercises: A teacher predicts that the distribution of grades on the final exam will be and they are recorded in Table .

The actual distribution for a class of is in Table .

At the significance level, what can you conclude?

Step-by-step explanation

Step 1.

Know that the overall frequency here is . As a result, we multiply each frequency by and arrive at the table below,

Grade Proportion Expected Frequency
A 0.25  
B 0.30
C 0.35  
D 0.10  

Calculate we will follow the following steps:

  1. In the first column of the excel sheet, we enter the expected frequencies.
  2. Fill in the first column of the excel sheet with the observed frequencies.
  3. Create a column with the heading (Observed – Expected).
  4. Calculate the square of (Observed – Expected) in a new column.
  5. Divide the square of (Observed – Predicted) by the expected frequencies of each observation in the final column.
  6. Finally, we add the last two columns together.

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