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. 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. a. Is this a test of one mean or proportion? b. State the null and alternative hypotheses. H 0 :___________ H a :___________ . c. Is this a right-tailed, left-tailed, or two-tailed test? d. What symbol represents the random variable for this test? e. In words, define the random variable for this test. f. Calculate the following: i. x= _____________ ii n= ____________ iii. p’ = ____________ g. Calculate = ________. Show the formula set-up. h. State the distribution to use for the hypothesis test. 1. Find the p-value. j. At a pie-conceived a 0.05. what Is your: i. Decision: ii. Reason for the decision: iii. Conclusion (write out in a complete sentence):
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. 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. a. Is this a test of one mean or proportion? b. State the null and alternative hypotheses. H 0 :___________ H a :___________ . c. Is this a right-tailed, left-tailed, or two-tailed test? d. What symbol represents the random variable for this test? e. In words, define the random variable for this test. f. Calculate the following: i. x= _____________ ii n= ____________ iii. p’ = ____________ g. Calculate = ________. Show the formula set-up. h. State the distribution to use for the hypothesis test. 1. Find the p-value. j. At a pie-conceived a 0.05. what Is your: i. Decision: ii. Reason for the decision: iii. Conclusion (write out in a complete sentence):
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. 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.
a. Is this a test of one mean or proportion?
b. State the null and alternative hypotheses.
H0:___________ Ha:___________ .
c. Is this a right-tailed, left-tailed, or two-tailed test?
d. What symbol represents the random variable for this test?
e. In words, define the random variable for this test.
f. Calculate the following:
i.
x= _____________
ii n= ____________
iii. p’ = ____________
g. Calculate = ________. Show the formula set-up.
h. State the distribution to use for the hypothesis test.
1. Find the p-value.
j. At a pie-conceived a 0.05. what Is your:
i. Decision:
ii. Reason for the decision:
iii. Conclusion (write out in a complete sentence):
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Hypothesis Testing - Solving Problems With Proportions; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=76VruarGn2Q;License: Standard YouTube License, CC-BY
Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY