Table of contents

1. Intro to Stats and Collecting Data1h 14m
2. Describing Data with Tables and Graphs1h 55m
3. Describing Data Numerically2h 5m
4. Probability2h 16m
5. Binomial Distribution & Discrete Random Variables3h 6m
6. Normal Distribution and Continuous Random Variables2h 11m
7. Sampling Distributions & Confidence Intervals: Mean3h 23m
8. Sampling Distributions & Confidence Intervals: Proportion1h 25m
9. Hypothesis Testing for One Sample3h 29m
10. Hypothesis Testing for Two Samples4h 50m
11. Correlation1h 6m
12. Regression1h 50m
13. Chi-Square Tests & Goodness of Fit1h 57m
14. ANOVA1h 57m

1. Intro to Stats and Collecting Data

Intro to Stats

Statistics

1. Intro to Stats and Collecting Data

Intro to Stats

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2:48 minutes

Problem 1.1.37

Textbook Question

In Exercises 37–44, answer the given questions, which are related to percentages.
Workplace Attire In a survey conducted by Opinion Research Corporation, 1000 adults were asked to identify “what is inappropriate in the workplace.” Of the 1000 subjects, 70% said that miniskirts were not appropriate in the workplace.

b. Among the 1000 respondents, 550 said that shorts are unacceptable in the workplace. What percentage of respondents said that shorts are unacceptable in the workplace?

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Identify the total number of respondents in the survey, which is given as 1000.

Determine the number of respondents who said that shorts are unacceptable in the workplace, which is given as 550.

To find the percentage of respondents who said that shorts are unacceptable, use the formula for percentage: \( \text{Percentage} = \left( \frac{\text{Number of respondents who said shorts are unacceptable}}{\text{Total number of respondents}} \right) \times 100 \).

Substitute the known values into the formula: \( \text{Percentage} = \left( \frac{550}{1000} \right) \times 100 \).

Simplify the expression to find the percentage of respondents who said that shorts are unacceptable in the workplace.

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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 is a mathematical process used to express a number as a fraction of 100. To find the percentage of a subset within a total, you divide the number of individuals in the subset by the total number of individuals and then multiply by 100. For example, if 550 out of 1000 respondents find shorts unacceptable, the percentage is calculated as (550/1000) * 100, which equals 55%.

Survey Sampling

Survey sampling involves selecting a subset of individuals from a larger population to gather insights or opinions. In this case, 1000 adults were surveyed to understand workplace attire preferences. The sample size should be representative of the population to ensure that the results can be generalized, and the methodology of selection can impact the validity of the findings.

Interpreting Survey Results

Interpreting survey results requires understanding the context and implications of the data collected. In this scenario, knowing that 550 respondents find shorts unacceptable helps gauge workplace norms and attitudes. It is essential to consider factors such as sample size, response bias, and the phrasing of questions when drawing conclusions from survey data.

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Textbook Question

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a. The exact heights of all NBA basketball players

Textbook Question

In Exercises 29–36, identify what is wrong.

Cell Phones and Pirates In recent years, the numbers of cell phones and the numbers of pirates have both increased, so there is a correlation, or association, between those two variables. Therefore, pirates cause increases in cell phones.

Textbook Question

In Exercises 29–36, identify what is wrong.

Storks and Babies In the years following the end of World War II, it was found that there was a strong correlation, or association, between the number of human births and the stork population. It therefore follows that storks cause babies.

Textbook Question

In Exercises 37–44, answer the given questions, which are related to percentages.

Checking Job Applicants In a study conducted by the Society for Human Resource Management, 347 human resource professionals were surveyed. Of those surveyed, 73% said that their companies conduct criminal background checks on all job applicants.

a. What is the exact value that is 73% of the 347 survey subjects?

b. Could the result from part (a) be the actual number of survey subjects who said that their companies conduct criminal background checks on all job applicants? Why or why not?

Textbook Question

In Exercises 37–44, answer the given questions, which are related to percentages.

Marriage Proposals In a survey conducted by TheKnot.com, 1165 engaged or married women were asked about the importance of a bended knee when making a marriage proposal. Among the 1165 respondents, 48% said that the bended knee was essential.

a. What is the exact value that is 48% of 1165 survey respondents?

b. Could the result from part (a) be the actual number of survey subjects who said that a bended knee is essential? Why or why not?

Textbook Question

In Exercises 37–44, answer the given questions, which are related to percentages.

Texting While Driving USA Today reported results from an Arity survey in which 2018 drivers were asked if they text while driving.

a. Among the respondents, 42% said that they text while driving. What is the exact value that is 42% of the number of respondents?

b. Could the result from part (a) be the actual number of respondents who said that they text while driving? Why or why not?

Textbook Question

In Exercises 37–44, answer the given questions, which are related to percentages.

Percentages in Advertising An ad for Big Skinny wallets included the statement that one of their wallets “reduces your filled wallet size by 50%–200%.” What is wrong with this statement?

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