Instruction: Find the critical value of the Problem. Show solutions.

The Problem: A researcher claims that 75% of college students would rather

spend their extra money for mobile phone loads than cigarettes.

Another researcher would like to verify this claim. She randomly

selected 400 college students. Two hundred ninety-six of these 400

student said that they would rather spend their extra money on mobile

phone loads than cigarettes. At 0.05 level of confidence, is there

enough evidence to conclude that the percentage of students who

would rather spend their extra money for mobile phone loads than

cigarettes is different from 75%?

Note:

Ho:p=po

Ho:p=.75

H1: p ? .75

Answer:

Solutions:

Task B: Do what is indicated. Show your solutions.

Instruction: Use the traditional method and p-value method in solving the

problem on population proportion. Then, complete the missing in the blank (shown in the image below)

The Problem: A school administrator claims that less than 50% of the

students of the school are dissatisfied by the community cafeteria service.

Test claim by using sample data obtained from a survey of 500 students of

the school where 54% indicated their dissatisfaction of the community

cafeteria service. Use a = 0.05.

1. Describe the Population The parameter of interest is the parameter of interest population proportion p of dissatisfied. 2. Formulate the hypothesis: The Ho: p=Po null hypothesis and the Ho:p=.=0.05 alternative hypothesis: That is, H1 0.05 7. Compare the computed values. Traditional method: We know that P-value method We know that 8. Interpret the result Thus, based on the evidence at hand, we ( can, cannot) reject the null hypothesis Ho