Please solve the questions and give the explain that will help me to understand
ID: 3049213 • Letter: P
Question
Please solve the questions and give the explain that will help me to understand . Thanks!!
7. T he national distribution of scores on the Advanced Placement (AP) examination in vided in the following table. Score l or 2 3 Percentage 40% 25% 23% 12% 4 A simple random sample of 100 high school students who took the AP exam in statistics is taken from the high schools in a certain school district. The observed counts based on this sample of students are provided in the following table. Score Count l or2 3 18 4 37 19 26 Under the appropriate null hypothesis, what is the expected number of students in the sample who get a score of 5 on the AP exam? 8. The national distribution of scores on the Advanced Placement (AP) examination in statistics (out of a possible 5 points) is provided in the following table. Score Percentage 40% 25% 23% 12% 1 or 23 4 A simple random sample of 100 high school students who took the AP exam in statistics is taken from the high schools in a certain school district. The observed counts based on this sample of students are provided in the following table Score Count 1 or 2 3 18 4 37 19 26 What are the appropriate degrees of freedom for the chi-square statistic under the appropriate null hypothesis?
Explanation / Answer
7) The sum of the observed values = 18 + 19 + 37 + 26 = 100.
To get the expected value, we use the expected % (on the national basis). For a score of 5, the expected % is 12% and 12% of 100 = 12 students.
8) Degrees of freedom for a chi square goodness of fit test = columns - 1 = 4-1 = 3