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Hypothesis testing of a single mean and single proportion

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    Student learning outcomes

  • The student will select the appropriate distributions to use in each case.
  • The student will conduct hypothesis tests and interpret the results.

Television survey

In a recent survey, it was stated that Americans watch television on average four hours per day. Assume that σ = 2. Using your class as the sample, conduct a hypothesis test to determine if the average for students at your school is lower.

  1. H 0 : _____________
  2. H a : _____________
  3. In words, define the random variable. __________ = ______________________
  4. The distribution to use for the test is _______________________.
  5. Determine the test statistic using your data.
  6. Draw a graph and label it appropriately.Shade the actual level of significance.
    1. Graph:
      Blank graph with vertical and horizontal axes.
    2. Determine the p -value.
  7. Do you or do you not reject the null hypothesis? Why?
  8. Write a clear conclusion using a complete sentence.

Language survey

About 42.3% of Californians and 19.6% of all Americans over age five speak a language other than English at home. Using your class as the sample, conduct a hypothesis test to determine if the percent of the students at your school who speak a language other than English at home is different from 42.3%.

  1. H 0 : ___________
  2. H a : ___________
  3. In words, define the random variable. __________ = _______________
  4. The distribution to use for the test is ________________
  5. Determine the test statistic using your data.
  6. Draw a graph and label it appropriately. Shade the actual level of significance.
    1. Graph:
      Blank graph with vertical and horizontal axes.
    2. Determine the p -value.
  7. Do you or do you not reject the null hypothesis? Why?
  8. Write a clear conclusion using a complete sentence.

Jeans survey

Suppose that young adults own an average of three pairs of jeans. Survey eight people from your class to determine if the average is higher than three. Assume the population is normal.

  1. H 0 : _____________
  2. H a : _____________
  3. In words, define the random variable. __________ = ______________________
  4. The distribution to use for the test is _______________________.
  5. Determine the test statistic using your data.
  6. Draw a graph and label it appropriately. Shade the actual level of significance.
    1. Graph:
      Blank graph with vertical and horizontal axes.
    2. Determine the p -value.
  7. Do you or do you not reject the null hypothesis? Why?
  8. Write a clear conclusion using a complete sentence.

Questions & Answers

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the study of living organisms and their interactions with one another and their environments
AI-Robot
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Victoria Reply
HOW CAN MAN ORGAN FUNCTION
Alfred Reply
the diagram of the digestive system
Assiatu Reply
allimentary cannel
Ogenrwot
How does twins formed
William Reply
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
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Josephine Reply
Genetics is the study of heredity
Misack
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Misack
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Hassan Reply
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
Joseph Reply
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Yousuf Reply
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
Joseph Reply
what is the blood cells
Shaker Reply
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
Abdullahi Reply
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Abdullahi
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DENG
cells is the basic structure and functions of all living things
Ramadan
What is classification
ISCONT Reply
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
Kenna Reply
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
cell is the building block of life.
Condoleezza Reply
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Source:  OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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