a. Calculate the p-value (Rounded to 4 or more decimal places):____________ b. If the two variables were independent, what is the expected number of students who entered sixth grade in an honors math class and who obtained college ready designation based on the SAT?______________Rounded to 2 decimal places) c. What is the contribution to the chi-squared test statistic for this cell (from part (c))?____________  (Rounded to 2 decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A researcher is studying the effects of choices made by students entering middle school on future SAT outcomes. The researcher records the math course that the student enrolls in upon entering the sixth grade. The researcher uses SAT data for the same group of students, grouping students by college readiness. The data is displayed below.

  College+Ready Likely+College+Ready Not+College+Ready
Grade-level 20 96 85
Honors 48 134 101
Accelerated 8 23 16

Do the data suggest that sixth grade math enrollment and SAT college readiness are related? Use a 5% level of significance.

a. Calculate the p-value (Rounded to 4 or more decimal places):____________

b. If the two variables were independent, what is the expected number of students who entered sixth grade in an honors math class and who obtained college ready designation based on the SAT?______________Rounded to 2 decimal places)

c. What is the contribution to the chi-squared test statistic for this cell (from part (c))?____________  (Rounded to 2 decimal places)

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