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.
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
(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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