hypothesis testing

A researcher asks whether attending a private high school leads to higher or lower performance on a test of social skills when compared to students attending public schools. A sample of 100 students from a private school produces a mean score of 71.30. The population mean (m) for students from public high schools is 75.62. The population standard deviation is 28. Zobt is –1.54. Zcrit is ± 1.96.

Should the researcher use a one-tailed or a two-tailed test? Why?
What is the alternative hypothesis?
What is the null hypothesis?
What should the researcher conclude about this relationship in the population?
Are the results significant? Explain your response.
What is the probability of making a Type I error?
If a Type I error were made, what would it mean?
What is the probability of making a Type II error?
If a Type II error were made, what would it mean?

  1. 👍 0
  2. 👎 0
  3. 👁 326
  1. We do not do your work for you. Once you have attempted to answer your questions, we will be happy to give you feedback on your work. Although it might require more time and effort, you will learn more if you do your own work. Isn't that why you go to school?

    However, I will give you a start.

    If you are considering both higher or lower, would you use a one tailed test?

    Ho = mean1 = mean2
    Ha = mean 1 ≠ mean2

    1. 👍 0
    2. 👎 0
  2. No

    1. 👍 0
    2. 👎 0
  3. two tailed because we have two directions of interest.
    alternative hypothesis is mean is not equal to 75.62.
    null hypo is mean is equal to 75.62.
    There is evidence that private schools can lead to higher or lower performance on a test of social skills. (type 2 error)
    type 2 error = 95%
    type 1 error= 5%
    if a type 1 error was made then there would be no evidence that private schools can lead higher or lower performance on a test of social skills.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Statisics Question Help Please

    The proportion of students in private schools is around 11%. A random sample of 450 students from a wide geographic area indicated that 55 attended private schools. Estimate the true proportion of students attending private

  2. Managerial finance

    Can u please help me on this: High cash flow is generally associated with a higher share price whereas higher risk tends to result in a lower share price. is it true of false?? and why thx

  3. mathematics

    A researcher conducted a survey of 6 teachers to determine how many times each teacher tutors students after school. The researcher recorded the findings in the table below. ​Teacher ​Number of Outcomes 1 ​18 2 ​ 15 3

  4. Math

    Ms. Allison drew a box-and-whisker plot to represent her students scores on a midterm test. These are the numbers on the box-and-whisker plot. Lowest value=44 Lower quartile=47 Median=52 Upper quartile=81 Highest value=96 Jason

  1. MATH

    A researcher wants to select a sample of 50 students from four local private high schools by performing stratified sampling. The enrollments are shown in the table. How many students at each school should be included in the​

  2. Social Studies

    How does division of labor affect the final product? Lower price; Lower quality Lower price; Higher quality Higher price; Lower quality Higher price; Higher quality Is it B or D

  3. social studies

    The German and British governments invest heavily in human capital. How does this lead to a higher standard of living? Order the sequence to answer the question. higher literacy rates and good education leads to productive workers

  4. History

    10.)Which of the following best describes a typical day for a child during years 1763 to 1841? A.) attending school; helping the family business B.) not attending school; having only a few chores C.) not attending school; helping

  1. Statistics

    The father of a junior high school student wants to determine the most popular book among junior high students. Select the sample with the least potential bias. A. A randomly selected group of 10 book sellers B. A randomly

  2. CHEM Periodic Trends

    Each of the statements below attempts to explain why some periodic property varies predictably among elements in the periodic table. Determine if each statement is true or false. Within a family, elements with higher atomic

  3. Stat

    Translate the following events into set notation using the symbols A and B, complement, union, intersection. Also give the probability of the event as determined from the table above. Fill in the table below with these values. {If

  4. statistics

    1. A state’s department of education reports that 12% of the high school students in that state attend private schools. The state university wonders if the percentage is the same in their applicant pool. Admissions officers plan

You can view more similar questions or ask a new question.