Surveys were distributed to 1,085 adults asking, “Do you enjoy shopping for clothing for yourself?” The results indicated that 51% of the females enjoyed shopping for clothing for themselves as compared to 44% of the males. The sample sizes of males and females were not provided. Suppose that the results were shown in the following table: ENJOYS SHOPPING GENDER FOR CLOTHING Male Female Total Yes 238 276 514 No 304 267 571 Total 542 543 1,085 (a) Suppose that the respondent chosen is a female. What is the probability that she does not enjoy shopping for clothing? (b) Suppose that the respondent chosen enjoys shopping for clothing. What is the probability that the individual is a male? (c) Are enjoying shopping for clothing and the gender of the individual independent? Explain.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Surveys were distributed to 1,085 adults asking, “Do you enjoy shopping for clothing for yourself?” The results indicated that 51% of the females enjoyed shopping for clothing for themselves as compared to 44% of the males. The sample sizes of males and females were not provided. Suppose that the results were shown in the following table:

 

ENJOYS SHOPPING                                       GENDER

FOR CLOTHING

 

 

Male

Female

Total

 Yes

 

238

276

514

  No

 

304

267

571

Total

 

542

543

1,085

 

(a) Suppose that the respondent chosen is a female. What is the probability that she does not enjoy shopping for clothing?

(b) Suppose that the respondent chosen enjoys shopping for clothing. What is the probability that the individual is a male?

(c) Are enjoying shopping for clothing and the gender of the individual independent? Explain.

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