Researchers carried out a survey of fourth-, fifth- and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, o

CoormaBak9

CoormaBak9

Answered question

2021-02-09

Researchers carried out a survey of fourth-, fifth- and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. The two-way table summarizes the survey data.
4th grade5th grade6th gradeTotalGrades495069168Athletic24363898Popular 19222869Total92108135335
Suppose we select one of these students at random. What's the probability of each of the following? The student is not a sixth-grader and did not rate good grades as important.

Answer & Explanation

jlo2niT

jlo2niT

Skilled2021-02-10Added 96 answers

Given
4th grade5th grade6th gradeTotalGrades495069168Athletic24363898Popular 19222869Total92108135335
The table contains data of 335 students, which is given in the bottom right corner of the given table.
# of possible outcomes=335
All students who are not sixth-graders and did not rate good grades as important are given in the rows "4th grade” and "5th grade”, while they are also given in the columns” Athletic” and”Popular”. Adding all corresponding counts, we then note that this corresponds with 24+36+19+22=124 students who are not sixth graders and did not rate good grades as important.
# of favorable outcomes=101
The probability is the number of favorable outcomes divided by the number of possible outcomes:
P(Not sixth grades and no grades)=# of favorable outcomes# of possible outcomes=101335
0.3015
=30.15%
Answer: 1013350.3015=30.15%

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?