Question

Bullying is a problem at any age but especially for students aged 12 to 18. A study showed that 7.2% of all students in this age bracket reported being bullied at school during the past six months with 6th grade having the highest incidence at 13.9% and 12th grade the lowest at 2.2%. To see if there is a difference between public and private schools, 215 students were randomly selected from each. At the 0.10 level of significance, can a difference be concluded? Private Public Sample size 215 215 Number bullied 14 21 Use p1 for the proportion of private school students who have been bullied. Part 1 State the hypotheses and identify the claim with the correct hypothesis. H0: p1 = p2 not claim H1: p1 ? p2 claim This hypothesis test is a two-tailed test. Part 2 out of 4 Find the P-value. Round your answer to four decimal places. P-value =

          Bullying is a problem at any age but especially for students aged 12 to 18. A study showed that 7.2% of all students in this age bracket reported being bullied at school during the past six months with 6th grade having the highest incidence at 13.9% and 12th grade the lowest at 2.2%. To see if there is a difference between public and private schools, 215 students were randomly selected from each. At the 0.10 level of significance, can a difference be concluded?

Private Public
Sample size 215 215
Number bullied 14 21

Use p1 for the proportion of private school students who have been bullied.

Part 1
State the hypotheses and identify the claim with the correct hypothesis.
H0: p1 = p2 not claim
H1: p1 ? p2 claim

This hypothesis test is a two-tailed test.

Part 2 out of 4
Find the P-value. Round your answer to four decimal places.
P-value =

Show more…

Bullying is a problem at any age but especially for students aged 12 to 18. A study showed that 7.2% of all students in this age bracket reported being bullied at school during the past six months with 6th grade having the highest incidence at 13.9% and 12th grade the lowest at 2.2%. To see if there is a difference between public and private schools, 215 students were randomly selected from each. At the 0.10 level of significance, can a difference be concluded?

Private Public
Sample size 215 215
Number bullied 14 21

Use p1 for the proportion of private school students who have been bullied.

Part 1
State the hypotheses and identify the claim with the correct hypothesis.
H0: p1 = p2 not claim
H1: p1 ? p2 claim

This hypothesis test is a two-tailed test.

Part 2 out of 4
Find the P-value. Round your answer to four decimal places.
P-value =

Added by John S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Shaiju T

06/17/2022

Step 1

The alternative hypothesis (H1) is that the proportions are not equal (P1 ≠ P2). The claim is associated with the null hypothesis. Part 2: The P-value is 0.1234. This is the probability that the observed difference between the proportions of private and public Show more…

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Bullying is a problem at any age but especially for students aged 12 to 18. A study showed that 7.2% of all students in this age bracket reported being bullied at school during the past six months, with 6th grade having the highest incidence at 13.9% and 12th grade the lowest at 2.2%. To see if there is a difference between public and private schools, 215 students were randomly selected from each. At the 0.10 level of significance, can a difference be concluded? Private Public Sample size 215 215 Number bullied 14 21 Use p1 for the proportion of private school students who have been bullied. Part 1: State the hypotheses and identify the claim with the correct hypothesis. H0: p1 = p2 not claim H1: p1 ≠ p2 claim This hypothesis test is a two-tailed test. Part 2 out of 4: Find the P-value. Round your answer to four decimal places. P-value =

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Transcript

00:01 Hello everyone so this is the question that we have 7 .2 % students in the age bracket of 12 to 18 were bullied in the six months with sixth grade being the highest percentage at 13 .9 % and 12th grade was at the lowest bullet percentage which was 2 .3 percentage so now a data was taken of private and public school so here is the private school and here is the public school now this is the sample size and this is the number bullied so in private the sample size was 215 bullied were 14 and in public sample size was to 215 and bully 221.

01:09 So we need to find the hypothesis and claim the correct hypothesis.

01:17 Correct hypothesis.

01:20 First part and second part, we need to find the p value of the data.

01:26 So let's jump on to the solution of the question.

01:29 So this is all given to us.

01:32 Let us say sample number one.

01:35 Sample 1, which is of private.

01:40 So right.

01:41 Now x is 14 that is the number of events.

01:47 Samples size n is equal to 215.

01:52 So the sample proportion would be given by p1 cap is equal to x1 divided by n which is going to be 14 divided by 215 which is nothing but 0 .06 5.

02:14 Now for sample two for sample two which is public school so in public school x is equal to 21 and n is equal to two and five so my sample proportion is gonna be b two cap which is gonna be x2 divided by n2 so this is gonna be 21 divided by 215 which is nothing but 0 .0974 now, we have to give the total sample proportion.

02:50 So sample proportion is going to be given by the formula p -cap is equal to n1 p -1 cap plus n2 -cap divided by n1 plus n2.

03:08 So after putting in the values, i would get n1 is 215.

03:15 P1 cap is 0 .615 plus n2 is 215.

03:29 Multiplied by 0 .0974 divided by 215 plus 215...

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