46
19:02
\( 57 \% \)
b) Next, we will sove for \( q \) :
\[
q=1-p=1-0.54=0.46
\]
c) Finally, we will solve for \( z \) :
\[
z=\frac{p-p}{\sqrt{\frac{p q}{n}}}=\frac{0.27-0.54}{\sqrt{\frac{(0.54)(0.46)}{250}}}=-8.57
\]
What can I do:
Activity 1:
A. For each item below, compute the value of \( q \) and then the value of \( z \) given the hypothesized proportion (p), the observed proportion( ) and the sample size ( \( m \) a
1. \( p=0.3, \hat{p}=0.22, n=60 \)
2. \( p=0.8, \hat{p}=0.72, n=140 \)
3. \( p=0.55, \hat{p}=0.62, n=70 \)
4. \( p=0.7, \hat{p}=0.54, n=110 \)
5. \( p=0.47, \hat{p}=0.18, n=55 \)
B. For each problem below, compute for the value of the hypothesized proportion \( (\hat{p}) \), the value of \( q \), and finally the value of \( z \).
1. A student researcher claims that \( 8 \% \) of the Junior High School completers will enroll in private Senior High Schools. To test this claim, he collected sufficienct samples randomly and found out that 85 out of 380 Junior High School completers are planning to enrol in private Senior High Schools.
2. The Senior High School researchers claim that \( 20 \% \) of Senior High School male students have tried smoking cigarette. After collecting 150 random samples, they found that 40 of them have tried smoking cigarette.
3. A teacher wants to test his assumption that less than \( 30 \% \) of the Senior High School students like research class. After randomly collecting 150 samples, he found out that only 50 students like their research class.
4. A school nurse believe that \( 5 \% \) of the Grade 7 students have below normal Body Mass Index (BMI) and should undergo a feeding program. After making a survey, she found that 18 of 210 randomly selected students have have below normal BMI.
5. After launching the Water and Hygiene in School program, the principal believes that \( 95 \% \) of the students applied tha proper handwashing techniques in school as well as at home. A random survey was conducted to 500 students
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