In: Statistics and Probability
Using the data below, answer items 33 - 40.
The following data were collected by a researcher interested in whether there were differences between teen drivers and middle-age drivers in terms of their attitudes toward risky driving behaviors. 1, 430 teen drivers and 880 middle-age drivers were surveyed. α = 0.05, df = 879.
Results of the study are as follows:
Risky Behavior | t | p = |
Speeding | -1.39 | 0.17 |
Drunk Driving | -4.27 | 0.000 |
Sleepy Driving | -2.60 | 0.01 |
Texting | -6.99 | 0.000 |
Slow Driving | 1.43 | 0.15 |
Distracted Driving (Cell Phone, Radio, GPS, Friends, Infants, etc... | -2.58 | 0.01 |
Is this a one or two tailed test?
QUESTION 34
For any of the variables (risky behaviors), the alternative hypothesis would be _________.
A. |
H1 = μ1 - μ2 < 0 |
|
B. |
H1 = μ1 - μ2 > 0 |
|
C. |
H1 = μ1 - μ2 ≠ 0 |
QUESTION 35
Would you reject the null hypothesis for the driving behavior "Distracted Driving"?
QUESTION 36
Would you reject the null hypothesis for the driving behavior "Slow Driving"?
QUESTION 37
Are the results for the driving behavior "Sleepy Driving" statistically significant?
QUESTION 38
Write up the summary statement for the difference in attitudes between teen and middle age drivers for driving behavior "Texting".:
t() = , p =
QUESTION 39
t() = , p =
QUESTION 40
Was there enough evidence to support the researchers claim that there is a difference between the attitudes of teen drivers and middle age drivers for the risky driving behavior speeding?
34)
Answer: c.
Explanation: The alternative hypothesis tests the claim that there is a significant difference in mean risky driving behaviors between teen drivers and middle-age drivers.
35)
Answer: Reject the null hypothesis.
Explanation: From the given result values,
Risky Behavior | t | p - value |
Distracted Driving | -2.58 | 0.01 |
Since the P-value = 0.01 is less than 0.05 at 5% significance level, the null hypothesis is rejected hence we can conclude that there is a statistically significant difference in mean risky driving behaviors for distracted driving between teen drivers and middle-age drivers.
36)
Answer: Do not reject the null hypothesis.
Explanation: From the given result values,
Risky Behavior | t | p - value |
Slow Driving | 1.43 | 0.15 |
Since the P-value = 0.15 is greater than 0.05 at 5% significance level, the null hypothesis is not rejected hence we can conclude that there is no difference in mean risky driving behaviors for slow driving between teen drivers and middle-age drivers.
37)
Answer: There is a statistically significant difference
Explanation: From the given result values,
Risky Behavior | t | p - value |
Sleepy Driving | -2.6 | 0.01 |
Since the P-value = 0.01 is less than 0.05 at 5% significance level, the null hypothesis is rejected hence we can conclude that there is a statistically significant difference in mean risky driving behaviors for sleepy driving between teen drivers and middle-age drivers.
38)
Summary: From the given result values,
Risky Behavior | t | p - value |
Texting | -6.99 | 0 |
Since the P-value = 0.00 is less than 0.05 at 5% significance level, the null hypothesis is rejected hence we can conclude that there is a statistically significant difference in mean risky driving behaviors for texting between teen drivers and middle-age drivers.
39)
Summary: From the given result values,
Risky Behavior | t | p - value |
Speeding | -1.39 | 0.17 |
Since the P-value = 0.17 is greater than 0.05 at 5% significance level, the null hypothesis is not rejected hence we can conclude that there is no difference in mean risky driving behaviors for speeding between teen drivers and middle-age drivers.
40)
Answer: There is no difference in mean risky driving behaviors for speeding between teen drivers and middle-age drivers.
Explanation: since the null hypothesis is not rejected at 5% significance level we can conclude that there not enough evidence to claim that there is a difference between the attitudes of teen drivers and middle age drivers for the risky driving behavior speeding