This module provides a practice of Hypothesis Testing of Single Mean and Single Proportion as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
Student learning outcomes
The student will conduct a hypothesis test of a single population proportion.
Given
The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. (http://www.nimh.nih.gov/publicat/depression.cfm) Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population.
Hypothesis testing: single proportion
Is this a test of means or proportions?
Proportions
State the null and alternative hypotheses.
${H}_{o}:$
${H}_{a}:$
${H}_{o}:p=0\text{.}\text{095}$
${H}_{a}:p<0\text{.}\text{095}$
Is this a right-tailed, left-tailed, or two-tailed test?
How do you know?
left-tailed
What symbol represents the Random Variable for this test?
$\text{P}\text{'}$
In words, define the Random Variable for this test.
the proportion of people in that town surveyed suffering from depression or a depressive illness
Calculate the following:
$x=$
$n=$
$\text{p}\text{'}=$
7
100
0.07
Calculate
${\sigma}_{p\text{'}}$ . Make sure to show how you set up the formula.
0.0293
State the distribution to use for the hypothesis test.
Normal
Sketch a graph of the situation. Label the horizontal axis. Mark the hypothesized mean and the sample proportion, p-hat. Shade the area corresponding to the p-value.
Find the
p-value
0.1969
At a pre-conceived
$\alpha =0\text{.}\text{05}$ , what is your:
Decision:
Reason for the decision:
Conclusion (write out in a complete sentence):
Do not reject the null hypothesis
Discusion question
Does it appear that the proportion of people in that town with depression or a depressive illness is lower than general adult American population? Why or why not?
Questions & Answers
anyone know any internet site where one can find nanotechnology papers?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?