Description
this is Statistics math problems, the questions are post in the attached file, please check.
here is the one link mentioned in the question:https://web.archive.org/web/20150404094832/https://academic.evergreen.edu/curricular/social_dilemmas/fall/Readings/Week_06/milgram.pdf
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Explanation & Answer
Attached you will find the outline (table of contents) and answers of your assignment in Word and PDF. The equations were made using the Microsoft Office Equation Editor. Please let me know if you need edits 😊
ANSWERS. PROJECT. TEST FOR POPULATION PROPORTIONS.
PART 1.
A) The average response by the psychology majors represents the percentage or proportion (1.2% or 3 men
of 250, 𝑝̂1 = 0.012) that we want to compare with the experimental data (26 of 40 men involved in
the study administered with the highest level of shock, 𝑝̂ 2 = 0.650) using statistics. The null
hypothesis establishes that there is no significant difference between the proportion made by
psychology majors and the experimental proportion:
Hypotheses
Null Hypothesis
Ho: 𝑝̂ = 𝑝̂ 0
Alternate Hypothesis
Ha: 𝑝̂ ≠ 𝑝̂0
Test Statistics (z-test)
𝑧=
𝑝̂ − 𝑝̂ 0
√𝑝̂ 0 (1 − 𝑝̂0 )
𝑛
=
0.650 − 0.012
√0.012(1 − 0.012)
40
= 37.058
B) We should reject the null hypothesis because the value of z-test is related with a p-value of 1.000,
meaning that practically, with a confidence level very close to 100%, both proportions are significantly
different between each other. In the context of the experiment, the proportion proposed by psychology
majors is significantly different from the proportion reflected by the experimentation.
C) A condition to use the z-test is that we need independent random sample for experimental group, either
from random sampling or a randomized experiment. The sampling methodology selected the
participants by a newspaper advertisement (volunteer sample) and direct mail solicitation (convenience
sample). Both sampling methodologies could result in bias due the lack of representativeness of the
sample with the population, even if the men selected believed that they are going to ma...