Question

In: Statistics and Probability

Using the data below, answer items 33 - 40. The following data were collected by a...

  1. 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

  1. 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

  1. Would you reject the null hypothesis for the driving behavior "Distracted Driving"?

QUESTION 36

  1. Would you reject the null hypothesis for the driving behavior "Slow Driving"?

QUESTION 37

  1. Are the results for the driving behavior "Sleepy Driving" statistically significant?

QUESTION 38

  1. Write up the summary statement for the difference in attitudes between teen and middle age drivers for driving behavior "Texting".:

    t() = , p =

QUESTION 39

  1. Write up the summary statement for the difference in attitudes between teen and middle age drivers for driving behavior "Speeding".:

    t() = , p =  

QUESTION 40

  1. 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?

Solutions

Expert Solution

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


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