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Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 35 feel more enriched as a result of her class. Now, what do you think? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) Part (c) Part (d) Part (e) Part (f) Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: O reject the null hypothesis do not reject the null hypothesis (iii) Reason for decision: O Since a > p-value, we reject the null hypothesis. O Since a > p-value, we do not reject the null hypothesis. O Since a < p-value, we do not reject the null hypothesis. O Since a < p-value, we reject the null hypothesis. (iv) Conclusion: O There is sufficient evidence to conclude that less than 60% percent of her students feel more enriched. O There is not sufficient evidence to conclude that less than 60% percent of her students feel more enriched.

Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 35 feel more enriched as a result of her class. Now, what do you think? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) Part (c) Part (d) Part (e) Part (f) Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: O reject the null hypothesis do not reject the null hypothesis (iii) Reason for decision: O Since a > p-value, we reject the null hypothesis. O Since a > p-value, we do not reject the null hypothesis. O Since a < p-value, we do not reject the null hypothesis. O Since a < p-value, we reject the null hypothesis. (iv) Conclusion: O There is sufficient evidence to conclude that less than 60% percent of her students feel more enriched. O There is not sufficient evidence to conclude that less than 60% percent of her students feel more enriched.

MATLAB: An Introduction with Applications
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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Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 35 feel more enriched as a result of her class. Now, what do you think? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) Part (c) Part (d) Part (e) Part (f) Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = Part (i) (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: O Since a > p-value, we reject the null hypothesis. Since a > p-value, we do not reject the null hypothesis. O Since a < p-value, we do not reject the null hypothesis. O Since a < p-value, we reject the null hypothesis. (iv) Conclusion: O There is sufficient evidence to conclude that less than 60% percent of her students feel more enriched. O There is not sufficient evidence to conclude that less than 60% percent of her students feel more enriched.
Transcribed Image Text:Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 35 feel more enriched as a result of her class. Now, what do you think? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) Part (c) Part (d) Part (e) Part (f) Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = Part (i) (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: O Since a > p-value, we reject the null hypothesis. Since a > p-value, we do not reject the null hypothesis. O Since a < p-value, we do not reject the null hypothesis. O Since a < p-value, we reject the null hypothesis. (iv) Conclusion: O There is sufficient evidence to conclude that less than 60% percent of her students feel more enriched. O There is not sufficient evidence to conclude that less than 60% percent of her students feel more enriched.
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