Is there a difference between community college statistics students and university statistics students in what technology they use on their homework? Of the randomly selected community college students 55 used a computer, 88 used a calculator with built in statistics functions, and 20 used a table from the textbook. Of the randomly selected university students 47 used a computer, 85 used a calculator with built in statistics functions, and 36 used a table from the textbook. Conduct the appropriate hypothesis test using an αα = 0.10 level of significance. What is the correct statistical test to use? Goodness-of-Fit Paired t-test Homogeneity Independence What are the null and alternative hypotheses? H0:H0:  Type of student and type of technology used for statistics homework are dependent. The distribution of the technology that community college statistics students use for their homework is the same as the distribution of the technology that university statistics students use for their homework. Type of student and type of technology used for statistics homework are independent. The distribution of the technology that community college statistics students use for their homework is not the same as the distribution of the technology that university statistics students use for their homework. H1:H1:  Type of student and type of technology used for statistics homework are dependent. Type of student and type of technology used for statistics homework are independent. The distribution of the technology that community college statistics students use for their homework is the same as the distribution of the technology that university statistics students use for their homework. The distribution of the technology that community college statistics students use for their homework is not the same as the distribution of the technology that university statistics students use for their homework. The test-statistic for this data =  (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.)  The p-value is     αα  Based on this, we should reject the null fail to reject the null accept the null Thus, the final conclusion is... There is sufficient evidence to conclude that the distribution of the technology that community college statistics students use for their homework is the same as the distribution of the technology that university statistics students use for their homework. There is sufficient evidence to conclude that the distribution of the technology that community college statistics students use for their homework is not the same as the distribution of the technology that university statistics students use for their homework. There is insufficient evidence to conclude that type of student and type of technology used for statistics homework are independent. There is sufficient evidence to conclude that type of student and type of technology used for statistics homework are dependent. There is insufficient evidence to conclude that the distribution of the technology that community college statistics students use for their homework is not the same as the distribution of the technology that university statistics students use for their homework.

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Author:Amos Gilat
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Is there a difference between community college statistics students and university statistics students in what technology they use on their homework? Of the randomly selected community college students 55 used a computer, 88 used a calculator with built in statistics functions, and 20 used a table from the textbook. Of the randomly selected university students 47 used a computer, 85 used a calculator with built in statistics functions, and 36 used a table from the textbook. Conduct the appropriate hypothesis test using an αα = 0.10 level of significance.

  1. What is the correct statistical test to use?
    • Goodness-of-Fit
    • Paired t-test
    • Homogeneity
    • Independence
  2. What are the null and alternative hypotheses?
    H0:H0: 
    • Type of student and type of technology used for statistics homework are dependent.
    • The distribution of the technology that community college statistics students use for their homework is the same as the distribution of the technology that university statistics students use for their homework.
    • Type of student and type of technology used for statistics homework are independent.
    • The distribution of the technology that community college statistics students use for their homework is not the same as the distribution of the technology that university statistics students use for their homework.



    H1:H1: 
    • Type of student and type of technology used for statistics homework are dependent.
    • Type of student and type of technology used for statistics homework are independent.
    • The distribution of the technology that community college statistics students use for their homework is the same as the distribution of the technology that university statistics students use for their homework.
    • The distribution of the technology that community college statistics students use for their homework is not the same as the distribution of the technology that university statistics students use for their homework.
  3. The test-statistic for this data =  (Please show your answer to three decimal places.)

  4. The p-value for this sample = (Please show your answer to four decimal places.) 

  5. The p-value is     αα 

  6. Based on this, we should
    • reject the null
    • fail to reject the null
    • accept the null
  7. Thus, the final conclusion is...
    • There is sufficient evidence to conclude that the distribution of the technology that community college statistics students use for their homework is the same as the distribution of the technology that university statistics students use for their homework.
    • There is sufficient evidence to conclude that the distribution of the technology that community college statistics students use for their homework is not the same as the distribution of the technology that university statistics students use for their homework.
    • There is insufficient evidence to conclude that type of student and type of technology used for statistics homework are independent.
    • There is sufficient evidence to conclude that type of student and type of technology used for statistics homework are dependent.
    • There is insufficient evidence to conclude that the distribution of the technology that community college statistics students use for their homework is not the same as the distribution of the technology that university statistics students use for their homework.
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