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A poll asked respondents if they had taken a vacation in the last year. The respondents were separated into two groups: those who had graduated
A poll asked respondents if they had taken a vacation in the last year. The respondents were separated into two groups: those who had graduated from college and those who had not. Numbers are based on a sample size of 250 in each group. Complete parts (a) and (b) below. Took a Vacation Yes No Total Ch College Graduate 183 67 250 Not a College Graduate 129 121 250 Total 312 188 500 <:> a. If a person is randomly selected from this group, find the probability for parts (i) through (iii). i. the person is a college graduate |:|% (Type an integer or decimal rounded to one decimal place as needed.) ii. the person took a vacation |:|% (Type an integer or decimal rounded to one decimal place as needed.) iii. the person is a college graduate and took a vacation |:|% (Type an integer or decimal rounded to one decimal place as needed.) b. Which group is more likely to have taken a vacation in the last year: college graduates or non-college graduates? Support your answer with appropriate statistics. Select the correct choice below and ll in the b. Which group is more likely to have taken a vacation in the last year: college graduates or noncollege graduates? Support your answer with appropriate statistics. Select the correct choice below and ll in the answer boxes within your choice. (Type integers or decimals rounded to one decimal place as needed.) 0 A- The non-college graduates are more likely to have taken a vacation because D% of non-college graduates took a vacation in the last year, whereas D% of the college graduates took a vacation in the last year. 0 B. The college graduates and the noncollege graduates are equally likely to have taken a vacation. D'JAJ of college graduates took a vacation in the last year and |:|% of non-college graduates took a vacation in the last year. 0 C- The college graduates are more likely to have taken a vacation because D% of college graduates took a vacation in the last year, whereas D% of the non-college graduates took a vacation in the last year. A poll asked people with and without Frequently Experience children under 18 years old if they Stress frequently experienced stress. The results Total are shown in the accompanying table. With child under 550 Complete parts (a) through (0) below. 13 years 00 es -E- No child under 193 307 5 18 years 493 1050 a. Find the probability that a randomly chosen person from this group said "Yes," given that the person has a child under 18 years old. E (Type an integer or decimal rounded to four decimal places as needed.) b. Find the probability that a randomly chosen person from this group said "Yes," given that the person does not have a child under 18 years old. E (Type an integer or decimal rounded to four decimal places as needed.) c. Find the probability that a randomly chosen person from this group said "Yes" or did not have a child under 18 years old. E (Type an integer or decimal rounded to four decimal places as needed.) According to a recent study, 59% of households from a certain large region no longer have a landline and instead only have cell phone service. Suppose three households from the region are selected at random. 3. What is the probability that all three have only cell phone service? b. What is the probability that at least one has only cell phone service? E> a. The probability that all three have only cell phone service is D. (Round to four decimal places as needed.) b. The probability that at least one has only cell phone service is El. (Round to four decimal places as needed.)
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