A team of researchers analyzed outcomes from a safety drill conducted on a ferry. The drill tracked whether individuals evacuated safely or not and grouped the passengers into four categories based on role and age: adult men, adult women, boys, and girls. The data were collected from 480480 participants, summarized in the table below:Use a 0.050.05 significance level to test the claim that the evacuation outcome is independent of group category. Identify the null and alternative hypotheses corresponding to the stated claim.

H0H_0: The evacuation outcome is independent of the group.H1H_1: The evacuation outcome is not independent of the group.

H0H_0: Adult women are more likely to evacuate than adult men.H1H_1: Adult women are not more likely to evacuate than adult men.

H0H_0: The number of people who evacuated safely was the same in all groups.H1H_1: The number of people who evacuated safely was different in at least one group.

H0H_0: There is a strong relationship between group and evacuation outcome.H1H_1: There is no relationship between group and evacuation outcome.

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1. Intro to Stats and Collecting Data(0)

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Levels of Measurement
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Intro to Collecting Data
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Sampling Methods
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2. Describing Data with Tables and Graphs(0)

Visualizing Qualitative vs. Quantitative Data
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Frequency Distributions
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Histograms
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Bar Graphs and Pareto Charts
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Pie Charts
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Frequency Polygons
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Stemplots (Stem-and-Leaf Plots)
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Time-Series Graph
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3. Describing Data Numerically(0)

Mean
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Median
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Mode
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Standard Deviation
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Interpreting Standard Deviation
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Percentiles & Quartiles
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Boxplots
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Basic Concepts of Probability
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Addition Rule
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Multiplication Rule: Independent Events
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Introduction to Contingency Tables
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Multiplication Rule: Dependent Events
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Bayes' Theorem
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Fundamental Counting Principle
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Counting
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5. Binomial Distribution & Discrete Random Variables(0)

Discrete Random Variables
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Binomial Distribution
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Poisson Distribution
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Hypergeometric Distribution
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Uniform Distribution
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Non-Standard Normal Distribution
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7. Sampling Distributions & Confidence Intervals: Mean(0)

Sampling Distribution of the Sample Mean and Central Limit Theorem
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Introduction to Confidence Intervals
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Confidence Intervals for Population Mean
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Determining the Minimum Sample Size Required
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Sampling Distribution of Sample Proportion
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Chi Square Distribution
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Confidence Intervals for Population Variance
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9. Hypothesis Testing for One Sample(0)

Steps in Hypothesis Testing
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Performing Hypothesis Tests: Means
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Performing Hypothesis Tests: Proportions
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Performing Hypothesis Tests: Variance
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Critical Values and Rejection Regions
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Link Between Confidence Intervals and Hypothesis Testing
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Type I & Type II Errors
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Two Proportions
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Two Means - Unknown, Unequal Variance
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Two Means - Unknown, Equal Variance
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Two Means - Known Variance
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13. Chi-Square Tests & Goodness of Fit(0)

Goodness of Fit Test
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Contingency Tables
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Independence Tests
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Homogeneity Tests
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14. ANOVA(0)

Introduction to ANOVA
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Multiple Comparisons: Tukey Test
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Multiple Comparisons: Tukey-Kramer Test
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13. Chi-Square Tests & Goodness of Fit

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Problem 36Multiple Choice

A team of researchers analyzed outcomes from a safety drill conducted on a ferry. The drill tracked whether individuals evacuated safely or not and grouped the passengers into four categories based on role and age: adult men, adult women, boys, and girls. The data were collected from $480$ participants, summarized in the table below:

Use a $0.05$ significance level to test the claim that the evacuation outcome is independent of group category. Identify the null and alternative hypotheses corresponding to the stated claim.

$H sub 0$ : Adult women are more likely to evacuate than adult men.

$H sub 1$ : Adult women are not more likely to evacuate than adult men.

$H sub 0$ : The evacuation outcome is independent of the group.

$H sub 1$ : The evacuation outcome is not independent of the group.

$H sub 0$ : The number of people who evacuated safely was the same in all groups.

$H sub 1$ : The number of people who evacuated safely was different in at least one group.

$H sub 0$ : There is a strong relationship between group and evacuation outcome.

$H sub 1$ : There is no relationship between group and evacuation outcome.

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