Bullying 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, 157 students were randomly selected from each. At the 0.10 level of significance, can a difference be concluded? Sample size: Number bullied Private 157 24 Public 157 14 Use p₁ for the proportion of private school students who have been bullied.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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(i) State the hypotheses and determine if the hypothesis test is one tailed or two tailed.

(ii) Find the P-value. Round your answer to at least four decimal places.

(iii) Make the decision and summarize the results. 

**Bullying**

Bullying is an issue at any age but is especially concerning for students aged 12 to 18. A study indicated that 7.2% of all students in this age group reported experiencing bullying at school within the past six months. The highest incidence was found in 6th grade at 13.9%, while 12th grade had the lowest at 2.2%. 

To examine differences in bullying between public and private schools, a sample of 157 students was randomly selected from each type of school. At a 0.10 level of significance, can a difference be concluded?

|                | Private | Public |
|--------------|---------|--------|
| Sample size  | 157     | 157    |
| Number bullied| 24      | 14     |

Use \( p_1 \) for the proportion of private school students who have been bullied.
Transcribed Image Text:**Bullying** Bullying is an issue at any age but is especially concerning for students aged 12 to 18. A study indicated that 7.2% of all students in this age group reported experiencing bullying at school within the past six months. The highest incidence was found in 6th grade at 13.9%, while 12th grade had the lowest at 2.2%. To examine differences in bullying between public and private schools, a sample of 157 students was randomly selected from each type of school. At a 0.10 level of significance, can a difference be concluded? | | Private | Public | |--------------|---------|--------| | Sample size | 157 | 157 | | Number bullied| 24 | 14 | Use \( p_1 \) for the proportion of private school students who have been bullied.
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