**Problem 10: Statistical Analysis of Student Driving Distances**Research found that students reported a Fall 2019 proportion of driving no more than 20 miles was 40%. Your sample of students indicated that 16 of 30 students drove no more than 20 miles per day.**Research Question:** Is the reported Fall 2019 proportion significantly less than the Fall 2020 proportion? Be prepared to round final answers to the hundredth place and to type Z or t table scores exactly as presented in the tables. **Problem 9: Hypothesis Test Form**1. **Research Question:** _________________2. **Hypotheses:** $H_0:$ _________________ $H_a:$ _________________ **Alpha:** _________________3. **Data from Problem:** _________________4. **Label Graph:** (Image depicts a normal distribution curve, which is centered. Typically used to visually represent data such as proportions or means in hypothesis testing.)**Critical Values:** _________________ **Test Statistics:** _________________ **p-value:** _________________ 5. **Answer Research Question:** - Yes - No**Why or Why Not?** 1. _________________ 2. _________________ 3. _________________

Answered: 10. Research found that students…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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**Problem 10: Statistical Analysis of Student Driving Distances**

Research found that students reported a Fall 2019 proportion of driving no more than 20 miles was 40%. Your sample of students indicated that 16 of 30 students drove no more than 20 miles per day.

**Research Question:** Is the reported Fall 2019 proportion significantly less than the Fall 2020 proportion? Be prepared to round final answers to the hundredth place and to type Z or t table scores exactly as presented in the tables.

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Given Information :

Research found that students reported a Fall 2019 proportion of driving no more than 20 miles was 40% . Your sample of students indicated that 16 of 30 students drove no more than 20 miles per day .

Research question : The reported Fall 2019 proportion significantly less than the Fall 2020 proportion .

The following information is provided: The sample size is $N = 30$ , the number of favorable cases is $X = 16$ , and the sample proportion is $\hat{p}$ $=X/N = 16 = 0.5333$ , and the significance level is $α = 0.05$

Null and Alternative Hypotheses

The following null and alternative hypotheses need to be tested:

$Ho: p = 0.40$

$p = 0.40$

$Ha: p < 0.40$

$p < 0.40$

This corresponds to a left-tailed test, for which a z-test for one population proportion needs to be used.

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