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While her husband spent 22 hours picking out new speakers, a statistician decided to determine whether the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment. The population was Saturday afternoon shoppers. Out of 68 men, 25 said they enjoyed the activity. Eight of the 22 women surveyed claimed to enjoy the activity. Interpret the results of the survey. Conduct a hypothesis test at the 5% level. Let the subscript m = men and w = women. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) State the null hypothesis. O Ho: Pm S Pw O Ho: Pm > Pw O Ho: Pm * Pw O Họ: Pm 2 Pw O Part (b) State the alternative hypothesis. O Hoi Pm = Pw O Hgi Pm> Pw O Hgi Pm + Pw O Hoi Pm < Pw O Part (c) In words, state what your random variable P'm - Pw represents. O P'm - P'w represents the proportion of people who enjoy shopping for electronics.

While her husband spent 22 hours picking out new speakers, a statistician decided to determine whether the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment. The population was Saturday afternoon shoppers. Out of 68 men, 25 said they enjoyed the activity. Eight of the 22 women surveyed claimed to enjoy the activity. Interpret the results of the survey. Conduct a hypothesis test at the 5% level. Let the subscript m = men and w = women. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) State the null hypothesis. O Ho: Pm S Pw O Ho: Pm > Pw O Ho: Pm * Pw O Họ: Pm 2 Pw O Part (b) State the alternative hypothesis. O Hoi Pm = Pw O Hgi Pm> Pw O Hgi Pm + Pw O Hoi Pm < Pw O Part (c) In words, state what your random variable P'm - Pw represents. O P'm - P'w represents the proportion of people who enjoy shopping for electronics.

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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O S.I.A. Best Songs V x O Syllabus for Statistics * Ch. 10 HW (1602) - Mat X My Questions | bartleby x = 6.1 The Standard Norm x Bookmarks A webassign.net/web/Student/Assignment-Responses/submit?dep=25396925&tags=autosave#question3177596_0 While her husband spent 22 hours picking out new speakers, a statistician decided to determine whether the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment. The population was Saturday afternoon shoppers. Out of 68 men, 25 said they enjoyed the activity. Eight of the 22 women surveyed claimed to enjoy the activity. Interpret the results of the survey. Conduct a hypothesis test at the 5% level. Let the subscript m = men and w = women. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) State the null hypothesis. O Họ: PmS Pw O Ho: Pm > Pw Ho: Pm + Pw Ho: Pm 2 Pw O Part (b) State the alternative hypothesis. O Hg: Pm = Pw Hgi Pm > Pw Hg: Pm + Pw O H: Pm < Pw O Part (c) In words, state what your random variable P'm - P', represents. P'm - P'w represents the proportion of people who enjoy shopping for electronics.
Transcribed Image Text:O S.I.A. Best Songs V x O Syllabus for Statistics * Ch. 10 HW (1602) - Mat X My Questions | bartleby x = 6.1 The Standard Norm x Bookmarks A webassign.net/web/Student/Assignment-Responses/submit?dep=25396925&tags=autosave#question3177596_0 While her husband spent 22 hours picking out new speakers, a statistician decided to determine whether the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment. The population was Saturday afternoon shoppers. Out of 68 men, 25 said they enjoyed the activity. Eight of the 22 women surveyed claimed to enjoy the activity. Interpret the results of the survey. Conduct a hypothesis test at the 5% level. Let the subscript m = men and w = women. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) State the null hypothesis. O Họ: PmS Pw O Ho: Pm > Pw Ho: Pm + Pw Ho: Pm 2 Pw O Part (b) State the alternative hypothesis. O Hg: Pm = Pw Hgi Pm > Pw Hg: Pm + Pw O H: Pm < Pw O Part (c) In words, state what your random variable P'm - P', represents. P'm - P'w represents the proportion of people who enjoy shopping for electronics.
O S.I.A. Best Songs V x O Syllabus for Statistics * Ch. 10 HW (1602) - Mat X My Questions | bartleby x = 6.1 The Standard Norm x Bookmarks A webassign.net/web/Student/Assignment-Responses/submit?dep=25396925&tags=autosave#question3177596_0 In words, state what your random variable P'm - Pw represents. P'm - P', represents the proportion of people who enjoy shopping for electronics. P'm - P', represents the difference in the average number of men who enjoy shopping for electronics and women who enjoy shopping for electronics. P'm - P'w represents the difference in the proportion of men who enjoy shopping for electronics and women who enjoy shopping for electronics. P'm - P', represents the difference between the number of men who enjoy shopping for electronics and women who enjoy shopping for electronics. Correct! The investigation is to determine the percent of men who enjoy shopping for electronics higher than the percent of women; therefore, we are interested in the difference in proportions of the two groups. O Part (d) State the distribution to use for the test. (Round your answers to four decimal places.) P'm - P'w- O Part (e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) O Part (f) What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O If H, is true, then there is a chance equal to the p-value that the proportion of men who enjoy shopping for electronic equipment is 0.0040 lower than the proportion of women who enjoy shopping for electronic equipment. If Ho is true, then there is a chance equal to the p-value that the proportion of men who enjoy shopping for electronic equipment is at least 0.0040 higher than the proportion of women who enjoy shopping for electronic equipment. O If Ho is false, then there is a chance equal to the p-value that the proportion of men who enjoy shopping for electronic equipment is 0.0040 lower than the proportion of women who enjoy shopping for electronic equipment.
Transcribed Image Text:O S.I.A. Best Songs V x O Syllabus for Statistics * Ch. 10 HW (1602) - Mat X My Questions | bartleby x = 6.1 The Standard Norm x Bookmarks A webassign.net/web/Student/Assignment-Responses/submit?dep=25396925&tags=autosave#question3177596_0 In words, state what your random variable P'm - Pw represents. P'm - P', represents the proportion of people who enjoy shopping for electronics. P'm - P', represents the difference in the average number of men who enjoy shopping for electronics and women who enjoy shopping for electronics. P'm - P'w represents the difference in the proportion of men who enjoy shopping for electronics and women who enjoy shopping for electronics. P'm - P', represents the difference between the number of men who enjoy shopping for electronics and women who enjoy shopping for electronics. Correct! The investigation is to determine the percent of men who enjoy shopping for electronics higher than the percent of women; therefore, we are interested in the difference in proportions of the two groups. O Part (d) State the distribution to use for the test. (Round your answers to four decimal places.) P'm - P'w- O Part (e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) O Part (f) What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O If H, is true, then there is a chance equal to the p-value that the proportion of men who enjoy shopping for electronic equipment is 0.0040 lower than the proportion of women who enjoy shopping for electronic equipment. If Ho is true, then there is a chance equal to the p-value that the proportion of men who enjoy shopping for electronic equipment is at least 0.0040 higher than the proportion of women who enjoy shopping for electronic equipment. O If Ho is false, then there is a chance equal to the p-value that the proportion of men who enjoy shopping for electronic equipment is 0.0040 lower than the proportion of women who enjoy shopping for electronic equipment.
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