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Ch. 5 - Discrete Probability Distributions
Triola - Elementary Statistics 14th Edition
Triola14th EditionElementary StatisticsISBN: 9780137366446Not the one you use?Change textbook
Chapter 5, Problem 5.c.4a

Salary Negotiations In a Jobvite survey, 2287 adult workers were randomly selected and asked about salary negotiations.


a. 29% of the respondents reported that they negotiated salary at their latest job. What is the number of respondents who reported that they negotiated salary?

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1
Step 1: Identify the total number of respondents surveyed, which is given as 2287.
Step 2: Recognize that the percentage of respondents who negotiated salary is provided as 29%. Convert this percentage into a decimal by dividing by 100, resulting in 0.29.
Step 3: To find the number of respondents who negotiated salary, multiply the total number of respondents (2287) by the decimal representation of the percentage (0.29). The formula is: Number=Total×Percentage
Step 4: Perform the multiplication operation to calculate the result. This will give the number of respondents who negotiated salary.
Step 5: Interpret the result in the context of the problem, ensuring the number is rounded appropriately if necessary (e.g., to the nearest whole number, since respondents are discrete individuals).

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Percentage Calculation

Percentage calculation involves determining a portion of a whole expressed as a fraction of 100. In this context, to find the number of respondents who negotiated their salary, you multiply the total number of respondents by the percentage (29%) expressed as a decimal (0.29). This is a fundamental skill in statistics for interpreting survey data.
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Sample Size

Sample size refers to the number of individuals included in a survey or study. In this case, the sample size is 2287 adult workers. Understanding sample size is crucial because it affects the reliability and validity of the survey results, as larger samples tend to provide more accurate representations of the population.
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Random Sampling

Random sampling is a technique where each member of a population has an equal chance of being selected for the survey. This method helps to eliminate bias and ensures that the sample is representative of the larger population. In the Jobvite survey, random sampling allows for generalizations about salary negotiation behaviors among adult workers.
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Related Practice
Textbook Question

In Exercises 25–28, find the probabilities and answer the questions.



Too Young to Tat Based on a Harris poll, among adults who regret getting tattoos, 20% say that they were too young when they got their tattoos. Assume that five adults who regret getting tattoos are randomly selected, and find the indicated probability.


c. Find the probability that the number of selected adults saying they were too young is 0 or 1.


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Textbook Question

Tennis Challenge In a recent U.S. Open tennis tournament, there were 945 challenges made by singles players, and 255 of them resulted in referee calls that were overturned. The accompanying table lists the results by gender.



e. If one of the challenges is randomly selected, find the probability that it was made by a man, given that the challenge was upheld with an overturned call.

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Textbook Question

Happiness In a survey sponsored by Coca-Cola, subjects were asked what contributes most to their happiness, and the table summarizes their responses. Does the table represent a probability distribution? Explain.


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Textbook Question

In Exercises 29 and 30, assume that different groups of couples use the XSORT method of gender selection and each couple gives birth to one baby. The XSORT method is designed to increase the likelihood that a baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5.


Gender Selection Assume that the groups consist of 36 couples.


c. Is the result of 26 girls a result that is significantly high? What does it suggest about the effectiveness of the XSORT method?

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Textbook Question

In Exercises 25–28, find the probabilities and answer the questions.


Internet Voting Based on a Consumer Reports survey, 39% of likely voters would be willing to vote by Internet instead of the in-person traditional method of voting. For each of the following, assume that 15 likely voters are randomly selected.


c. Find the probability that at least one of the selected likely voters would do Internet voting.

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Textbook Question

Planets The planets of the solar system have the numbers of moons listed below in order from the sun. (Pluto is not included because it was uninvited from the solar system party in 2006.) Include appropriate units whenever relevant.


0 0 1 2 17 28 21 8



e. Find the standard deviation.

f. Find the variance.