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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

Ayele, K., 2003. Introductory Economics, 3rd ed., Addis Ababa.
Widad Reply
can you send the book attached ?
Ariel
?
Ariel
What is economics
Widad Reply
the study of how humans make choices under conditions of scarcity
AI-Robot
U(x,y) = (x×y)1/2 find mu of x for y
Desalegn Reply
U(x,y) = (x×y)1/2 find mu of x for y
Desalegn
what is ecnomics
Jan Reply
this is the study of how the society manages it's scarce resources
Belonwu
what is macroeconomic
John Reply
macroeconomic is the branch of economics which studies actions, scale, activities and behaviour of the aggregate economy as a whole.
husaini
etc
husaini
difference between firm and industry
husaini Reply
what's the difference between a firm and an industry
Abdul
firm is the unit which transform inputs to output where as industry contain combination of firms with similar production 😅😅
Abdulraufu
Suppose the demand function that a firm faces shifted from Qd  120 3P to Qd  90  3P and the supply function has shifted from QS  20  2P to QS 10  2P . a) Find the effect of this change on price and quantity. b) Which of the changes in demand and supply is higher?
Toofiq Reply
explain standard reason why economic is a science
innocent Reply
factors influencing supply
Petrus Reply
what is economic.
Milan Reply
scares means__________________ends resources. unlimited
Jan
economics is a science that studies human behaviour as a relationship b/w ends and scares means which have alternative uses
Jan
calculate the profit maximizing for demand and supply
Zarshad Reply
Why qualify 28 supplies
Milan
what are explicit costs
Nomsa Reply
out-of-pocket costs for a firm, for example, payments for wages and salaries, rent, or materials
AI-Robot
concepts of supply in microeconomics
David Reply
economic overview notes
Amahle Reply
identify a demand and a supply curve
Salome Reply
i don't know
Parul
there's a difference
Aryan
Demand curve shows that how supply and others conditions affect on demand of a particular thing and what percent demand increase whith increase of supply of goods
Israr
Hi Sir please how do u calculate Cross elastic demand and income elastic demand?
Abari
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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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