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 68 used a computer, 87 used a calculator with built in statistics functions, and 21 used a table from the textbook. Of the randomly selected university students 40 used a computer, 86 used a calculator with built in statistics functions, and 35 used a table from the textbook. Conduct the appropriate hypothesis test using an a = 0.05 level of significance. a. What is the correct statistical test to use? Goodness-of-Fit O Homogeneity O Independence Paired t-test b. What are the null and alternative hypotheses? Ho: O Type of student and type of technology used for statistics homework are dependent. O 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. OType of student and type of technology used for statistics homework are independent. OThe 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: Type of student and type of technology used for statistics homework are independent. Type of student and type of technology used for statistics homework are dependent. O 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. of c. The test-statistic for this data = (Please show your answer to 2 decimal places.) d. The p-value for this sample = to 4 decimal places.) (Please show your answer

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Please help with c and d

**Hypothesis Testing for Comparison of Technology Use in Statistics Homework**

In this exercise, we examine whether there is a difference between community college statistics students and university statistics students regarding the technology they use for their homework. The data is as follows:

- Community college students:
  - 68 used a computer
  - 87 used a calculator with built-in statistics functions
  - 21 used a table from the textbook
  
- University students:
  - 40 used a computer
  - 86 used a calculator with built-in statistics functions
  - 35 used a table from the textbook

We will conduct a hypothesis test using a significance level of \( \alpha = 0.05 \).

**a. Selection of the Correct Statistical Test**

To choose the proper test, we consider the nature of our data. Given the data, the correct statistical test to use is the **Test for Homogeneity**, which compares the distribution of categorical data across different populations.

**b. Defining the Hypotheses**

- **Null Hypothesis (\(H_0\))**: 
  - 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.

- **Alternative Hypothesis (\(H_1\))**: 
  - 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.

**c. Calculating the Test Statistic**

The test-statistic value for this data is left blank in the exercise and is to be calculated (Please show your answer to 2 decimal places).

**d. Determining the p-value**

The p-value for this sample needs to be calculated to four decimal places to help determine the statistical significance of our findings.

This analysis will help us understand if there’s a significant difference in technology usage between the two student groups.
Transcribed Image Text:**Hypothesis Testing for Comparison of Technology Use in Statistics Homework** In this exercise, we examine whether there is a difference between community college statistics students and university statistics students regarding the technology they use for their homework. The data is as follows: - Community college students: - 68 used a computer - 87 used a calculator with built-in statistics functions - 21 used a table from the textbook - University students: - 40 used a computer - 86 used a calculator with built-in statistics functions - 35 used a table from the textbook We will conduct a hypothesis test using a significance level of \( \alpha = 0.05 \). **a. Selection of the Correct Statistical Test** To choose the proper test, we consider the nature of our data. Given the data, the correct statistical test to use is the **Test for Homogeneity**, which compares the distribution of categorical data across different populations. **b. Defining the Hypotheses** - **Null Hypothesis (\(H_0\))**: - 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. - **Alternative Hypothesis (\(H_1\))**: - 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. **c. Calculating the Test Statistic** The test-statistic value for this data is left blank in the exercise and is to be calculated (Please show your answer to 2 decimal places). **d. Determining the p-value** The p-value for this sample needs to be calculated to four decimal places to help determine the statistical significance of our findings. This analysis will help us understand if there’s a significant difference in technology usage between the two student groups.
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