2. Newborn babies are more likely to be boys than girls. A random sample found 13,173 boys were born among 25,468 newborn children. The sample proportion of boys was 0.5172. Is this sample evidence that the birth of boys is more common than the birth of girls in the entire population? (Use a = 0.05)
2. Newborn babies are more likely to be boys than girls. A random sample found 13,173 boys were born among 25,468 newborn children. The sample proportion of boys was 0.5172. Is this sample evidence that the birth of boys is more common than the birth of girls in the entire population? (Use a = 0.05)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please follow the 5-step procedure for the solution given in the examples. Thank you.
p.s. do not answer item 1 anymore.

Transcribed Image Text:EXAMPLE
A researcher randomly selected 1,500 pine trees in Lake Sebu were tested for traces of Bark Beetle infection. It was found
that 153 of the trees showed such traces. Test the hypothesis that more than 10% of the trees have been infected. (Use 5%
level of significance).
a. State the null hypothesisH, and the Alternative Hypothesis H,
Họ: p = 0.1
H,: p> 0.1
b. Calculate the test statistic.
153
= 0.102;
1500
po= 10% = 0.10;
qo = 1 – 0.10 = 0.90;
n= 1,500
p- Po
0.102 – 0.10
0.002
0.002
= .26
0.0077
Po9o
(0.10)(0.90) Vo.00006
1500
Rejection
Region
c. Determine the critical region
Since z, = 1.645, the rejection region is shown.
We see that 0.26 does not lie on the rejected region,
therefore we fail to reject the null hypothesis.
2 = 26
=, =1.64
d. Make a conclusion.
There is insufficient evidence to conclude that there is greater than 10% infested pine trees in Lake Sebu.
АСTIVITY
A. Follow the 5-step procedure to test the hypothesis of the problem.
1. A teacher believes that 85% of students in the class will want to have modular distance learning than online
distance learning. She performs a hypothesis test to determine if the percentage is the same or different
from 85%. The teacher samples 50 students and 39 reply that they would want to have modular distance
learning. For the hypothesis test, use a 1% level of significance.
2. Newborn babies are more likely to be boys than girls. A random sample found 13,173 boys were born
among 25,468 newborn children. The sample proportion of boys was 0.5172. Is this sample evidence that
the birth of boys is more common than the birth of girls in the entire population? (Use a = 0.05)
3. An assumption that 50% of first – time brides in the province of South Cotabato are younger than their
grooms. A hypothesis test was performed to determine if the percentage is the same or different from 50%.
A sample of 100 first – time brides and 53 reply that they are younger than their grooms. For the hypothesis
test, uses a = 0.01 level of significance.
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