A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n1 = 44 adults were asked about fishing as an outdoor activity. The mean response was x1 = 4.9. Another random sample of n2 = 49 adults were asked about camping as an outdoor activity. For this group, the mean response was x2 = 4.1. From previous studies, it is known that ?1 = 1.5 and ?2 = 2.0. Does this indicate a difference (either way) regarding preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance. Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they "strongly agree," "agree," "disagree," or "strongly disagree" with the statement. Sketch the sampling distribution and show the area corresponding to the P-value.ba-2-1O-3-2-11.Cd.-2- 112O-3-2-1123(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.(e) Interpret your conclusion in the context of the application.O Fail to reject the null hypothesis, there is sufficient evidence that there is a difference between mean response regarding preference for camping or fishing.O Reject the null hypothesis, there is insufficient evidence that there is a difference between mean response regarding preference for camping or fishing.O Fail to reject the null hypothesis, there is insufficient evidence that there is a difference between mean response regarding preference for camping or fishing.O Reject the null hypothesis, there is sufficient evidence that there is a difference between mean response regarding preference for camping or fishing. A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n, = 44 adults were asked about fishing as anoutdoor activity. The mean response was x, = 4.9. Another random sample of n, = 49 adults were asked about camping as an outdoor activity. For this group, the mean response was x, = 4.1. From previous studies, it is known that o, = 1.5 and o, = 2.0. Does thisindicate a difference (either way) regarding preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance.Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they "strongly agree," "agree," "disagree," or "strongly disagree" with the statement.(a) What is the level of significance?State the null and alternate hypotheses.O Ho: H1 = H2i H;: H1 > H2O Ho: H1 = H2i H;: H1 # HzO Ho: H1 # Hzi H: Hy = H2O Ho: H1 = H2i Hi: H1

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Answered: A Michigan study concerning preference…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n₁ = 44 adults were asked about fishing as an outdoor activity. The mean response was x₁ = 4.9. Another random sample of n₂ = 49 adults were asked about camping as an outdoor activity. For this group, the mean response was x₂ = 4.1. From previous studies, it is known that ?₁ = 1.5 and ?₂ = 2.0. Does this indicate a difference (either way) regarding preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance.
Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they "strongly agree," "agree," "disagree," or "strongly disagree" with the statement.

Sketch the sampling distribution and show the area corresponding to the P-value.
b
a
-2
-1
O-3
-2
-1
1.
C
d.
-2
- 1
1
2
O-3
-2
-1
1
2
3
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
O Fail to reject the null hypothesis, there is sufficient evidence that there is a difference between mean response regarding preference for camping or fishing.
O Reject the null hypothesis, there is insufficient evidence that there is a difference between mean response regarding preference for camping or fishing.
O Fail to reject the null hypothesis, there is insufficient evidence that there is a difference between mean response regarding preference for camping or fishing.
O Reject the null hypothesis, there is sufficient evidence that there is a difference between mean response regarding preference for camping or fishing.

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