Question 5 after summer break a teacher gives a random...

Question 5 After summer break a teacher gives a random sample of students in the grade the end of year proficiency exam from the end of the following year. She hypothesizes that students lose proficiency skills over the summer break. Of the 17 students in her sample, 4 students improved, 12 scored lower, and 1 student got the same score. What p value would this teacher calculate if she chooses to use a Sign Test for the Median? Group of answer choices 0.015 0.0245 0.0768 0.0384 0.049

Transcript

00:01 Hello students we are going to write here after summer break a teacher gives a random sample of students of the 17 students in her sample four students improved 12 scored lower and one student got the same score what p value what this teacher calculate if she chooses to use a sign test so basically if i write here for this null so this must be erased to make it more clear this must be null hypothesis hypothesis thesis if i write here for this this must be h not the students if i write here the students lose do not the students do not lose proficiency proficiency if i write here for this skills over the summer break the summer break if i write here so let's erase this to make it more summer break so this must be written as alternative hypothesis alternative hypothesis if i write here for this so this must be written as this must be h1 the students lose proficiency the students the students the we are going to write here use, use, so we are going to write here, the students lose, so this must be erased to make it more clear, lose, proficiency, we are going to write here for this skills, skills over, so this must be erased to make it more clear, this must be erased to make it more clear, skills over the summer break, over the summer break.

02:06 So if i write here for this, this must be written as, this must be written as we will ignore one student got the same score.

02:17 So total number of students n is equal to 16, which must be n value is basically equivalent to 16.

02:27 If i write here.

02:29 So actually, total one student, total 17 students given here, but we ignore one student, so we are going to take only n is equal to n is equal to 6 students, 16 students.

02:44 So we ignore one student.

02:47 So if i write here, this must be written as this must be x value is binomial distribution having p comma n.

02:59 So if i write here for this, this is 16 comma n comma p so p value is if i write here for this this must be p value is 0 .5 if i write here here this must be 0 .5.

03:18 So if i write here for this so here p value must be equivalent to probability of random variable of x is greater than equivalent to 12.

03:31 So at least 12, this must be written as ncr.

03:36 So 16c, if i write here 16cr, r value is 16c 12 .5 raise to power 12 and 0 .5 raise to power 4...

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