There are about 17 million households in the US that self-identify as black al have annual income below $100 000. Aaron thinks the average annual family income for this population is about $40 000. Sophie thinks the actual average is probably less than Aaron's estimate. They agree to hypothesis test Aaron's estimate at level of significance 0.05, using the following annual income estimates from a random sample of twelve such families: 48500,56000,21000,21000,6500,36000,91000,56000,56000,61000,43500,14000 The sample mean is The sample standard deviation is The value of the test statistic is The dof = The critical number is The P-value is

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%
Solve these 2 questions please ( question 1 = image 1 , question 2 = image 2)
There are about 17 million households in the US that self-identify as black and
have annual income below $100 000. Aaron thinks the average annual family
income for this population is about $40 000. Sophie thinks the actual average
is probably less than Aaron's estimate. They agree to hypothesis test Aaron's
estimate at level of significance 0.05, using the following annual income
estimates from a random sample of twelve such families:
48500,56000,21000,21000,6500,36000,91000,56000,56000,61000,43500,14000
The sample mean is
The sample standard deviation is
The value of the test statistic is
The dof =
The critical number is
The P-value is
Transcribed Image Text:There are about 17 million households in the US that self-identify as black and have annual income below $100 000. Aaron thinks the average annual family income for this population is about $40 000. Sophie thinks the actual average is probably less than Aaron's estimate. They agree to hypothesis test Aaron's estimate at level of significance 0.05, using the following annual income estimates from a random sample of twelve such families: 48500,56000,21000,21000,6500,36000,91000,56000,56000,61000,43500,14000 The sample mean is The sample standard deviation is The value of the test statistic is The dof = The critical number is The P-value is
The sample size in the last question is actually too small for
us to use the test statistic with either the critical values or
the P-value to decide whether to reject the null hypothesis.
But for this question, just ignore that unfortunate fact. (I
used a small sample size so you wouldn't have to enter lots
of data.)
Pretend we can use the critical values to decide whether to
reject the null hypothesis, and explain clearly how you
would decide.
Then pretend we can use the P-value to decide whether to
reject the null hypothesis, and explain clearly how you
would decide.
Transcribed Image Text:The sample size in the last question is actually too small for us to use the test statistic with either the critical values or the P-value to decide whether to reject the null hypothesis. But for this question, just ignore that unfortunate fact. (I used a small sample size so you wouldn't have to enter lots of data.) Pretend we can use the critical values to decide whether to reject the null hypothesis, and explain clearly how you would decide. Then pretend we can use the P-value to decide whether to reject the null hypothesis, and explain clearly how you would decide.
Expert Solution
steps

Step by step

Solved in 6 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
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.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning