### Overview:In a recent poll, a random sample of adults (18 years and older) was asked about their likelihood of purchasing a product when the advertisement emphasized "Made in our country." The responses were categorized by age group, as shown in the contingency table below.### Contingency Table:| Purchase likelihood | 18-34 | 35-44 | 45-54 | 55+ | Total ||-----------------------------|-------|-------|-------|-----|--------|| **More likely** | 209 | 308 | 322 | 403 | 1242 || **Less likely** | 29 | 7 | 25 | 14 | 75 || **Neither more nor less likely** | 280 | 202 | 159 | 133 | 774 || **Total** | 518 | 517 | 506 | 550 | 2091 |### Question:(a) What is the probability that a randomly selected individual is 45 to 54 years of age, given the individual is more likely to buy a product emphasized as "Made in our country"?**Calculation for Probability:**- To find the probability that an individual is 45 to 54 years of age given that they are more likely to buy a product, use the formula:\[P(\text{45-54 | More likely}) = \frac{\text{Number of 45-54 year olds more likely}}{\text{Total number more likely}}\]- Plug in the numbers:\[P(\text{45-54 | More likely}) = \frac{322}{1242} \approx 0.259\]Thus, the probability is approximately **0.259**. (Round to three decimal places as needed.)

From the provided information, Purchase likelihood 18-34 35-44 45-54 55+ Total More likely 209…

Answered: In a recent poll, a random sample of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In a recent poll, a random sample of adults in some country (18 years and older) was asked, "When you see an ad emphasizing that a product is "Made in our country," are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?" The results of the survey, by age group, are presented in the following contingency table. Complete parts (a) through (c). Purchase likelihood 18-34 35-44 45-54 55+ More likely Less likely 200 325 386 409 9 210 174 143 26 22 18 Neither more nor less likely 283 Total 509 544 582 570 2205 Total 1320 75 810 (a) What is the probability that a randomly selected individual is at least 55 years of age, given the individual is less likely to buy a product emphasized as "Made in our country"? The probability is approximately (Round to three decimal places as needed.)
The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next 10 years?” Here is a two-way table of the responses by gender: Opinion Female Male Almost no chance 120 104 Some chance but probably not 141 158 A 50-50 chance 454 499 A good chance 742 729 Almost certain 1168 764 What percent of females thought that they were almost certain to be married in the next 10 years?
Thirty randomly selected students were asked how many self- help books they have read in the last three years. Their responses are in the following frequency table.
In a recent poll, a random sample of adults in some country (18 years and older) was asked, "When you see an ad emphasizing that a product is "Made in our country," are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?" The results of the survey, by age group, are presented in the following contingency table. Complete parts (a) through (c). Purchase likelihood 18-34 35-44 45-54 55 + Total More likely 222 388 390 406 1406 Less likely 26 8 26 14 74 Neither more nor less likely 295 214 171 130 810 Total ith 543 610 587 550 2290 ..... The probability is approximately 0.738 . (Round to three decimal places as needed.) llo (c) Are 18- to 34-year-olds more likely to buy a product emphasized as "Made in our country" than individuals in general? Yes, more likely No, less likely se
In a recent poll, a random sample of adults in some country (18 years and older) was asked, "When you see an ad emphasizing that a product is "Made in our country," are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?" The results of the survey, by age group, are presented in the following contingency table. Complete parts (a) through (c). Purchase likelihood 18-34 35-44 45-54 55+ More likely Less likely 209 308 322 403 29 7 25 14 Neither more nor less likely 280 202 159 133 Total 518 517 506 550 (a) What is the probability that a randomly selected individual is 45 to 54 years of age, given the individual is more likely to buy a product emphasized as "Made in our country"? The probability is approximately 0.259 (Round to three decimal places as needed.) Total D 1242 75 774 2091 (b) What is the probability that a randomly selected individual is more likely to buy a product emphasized as "Made in our country." given the individual is 45 to 54…

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