School

Collin County Community College District **We aren't endorsed by this school

Course

AGRI 380

Subject

Statistics

Date

Sep 25, 2023

Type

Other

Pages

2

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SECTION 10.2 - Exercises
AEC 380 — Agricultural Statistics
Instructor: Dr. Jose Lopez
Name: Cara Hutson
Date: March 27, 2021
Submit your answers to the Short Answers (Part II) via the
Exercises SE or SA sub-tab
in
Section 10.2.
II.
Short Answers
1)
State the requirements that must be satisfied to test a hypothesis regarding a population
proportion.
(Points: 20)
In population proportion regarding testing a hypothesis you must have:
1.
The Sample that is obtained by sample random sampling.
2.
The Sample is Normally distributed. Noted as:
np
0
(1-
p
0
)
10.
3.
The sample values are independent of each other. Given the sample values fall within the
value given by
n
0.05
N
.
2)
Distinguish between
p
and
^
p
.
(Points: 20)
p
is the symbol used for Population Proportion in regarding to testing a hypothesis.
^
p
is the symbol used for the sample proportion, also called the best point of estimate.
3)
In your own words, what is a population mean?
(Points: 10)
Provide an example of a
population mean.
(Points: 10)
Make sure it is clear in your example you are referring to a
population.
Hint:
Review the difference between population and sample in Section 1.1.
A Population refers to the total observations as a whole, instead of just parts. A Population mean
would be the average of the given observations that are presented. For example, given that the
observations of the height of the Girls Gymnastics team are 64, 60, 56, 63, 64; the population
mean would then be, 61.4.
4)
In your own words, what is a population proportion?
(Points: 10)
Provide an example of a
population proportion.
(Points: 10)
Make sure it is clear in your example you are referring
to a population.
Hint:
Review the difference between population and sample in Section 1.1.
The population proportion is the fraction of the population that has a certain characteristic,
versus the entire population. An example would be, using the same Girls Gymnastics team from
above, for a total of 5 girls, 1 is a Burnette, 3 are Blonde, and 1 is a Red Head. If we are looking
for the population proportion of the Blondes in the group we would calculate it by:
P=X/N
P=3/5
P=0.6 would be our population proportion.
5)
The figure below explains how to determine the appropriate hypothesis test to perform.
That
is, the figure shows which approach to take in testing hypotheses for the two parameters
1

discussed in this chapter: the population mean and the population proportion.
Write a
paragraph explaining and discussing the figure.
(Points: 20)
The first question to ask is what the parameter is being used in the formulated question. If
the parameter is the proportion, then we move to the equation using all of the given and
calculated values thus ending with an equation and reading the answer to
Z
o
, as the sample
proportion. If we are given the Mean then we have to ask two questions, is the
given? If yes,
then we continue onto the equation given,
z
o
=, with sample size is 30 or above, to calculate the
normal distribution. If no, then. We use the second equation,
t
o
=, with a sample size of 30 or
above and calculate the t-distribution to determine the degrees of freedom within the hypothesis.
2