 # Get help with two way tables questions

Recent questions in Two-way tables chillywilly12a 2021-02-22 Answered

### A random sample of 1200 U.S college students was asked, "What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?" The two-way table below summarizes the data on perceived body image by gender. \begin{array}{l|c|c} & Female & Male \\ \hline About right & 560 & 295 \\ \hline Overweight & 163 & 72 \\ \hline Undenveight & 37 & 73 \end{array} Rivka Thorpe 2021-02-12 Answered

### Ivy conducted a taste test for 4 different brands of chocolate chip cookies. Here is a two-way table that describes which cookie each subject preferred and that person's gender. $$\begin{array}{c|cccc} &A& B & C & D \\ \hline Yes &4& 6 & 13 & 13\\ No &22& 11 & 11 & 14\\ \end{array}$$ Suppose one subject from this experiment is selected at random. Find the probability that the selected subject preferred Brand C. Jaya Legge 2021-02-12 Answered

### A random sample of 1200 U.S. college students was asked, "What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?" The two-way table summarizes the data on perceived body image by gender. $$\begin{array}{c|c} & Female\ \ \ \ \ \ Male & Total \\ \hline About\ right & 560\ \ \ \ \ \ \ \ \ \ 295 & 855\\ \hline Overweight & 163\ \ \ \ \ \ \ \ \ \ 72 & 235 \\ \hline Underweight & 37\ \ \ \ \ \ \ \ \ \ \ \ 73 & 110 \\ \hline Total & 760\ \ \ \ \ \ \ \ \ \ 440 & 1200 \end{array}$$ What proportion of the sample is female? Globokim8 2021-02-09 Answered

### In a certain small town, 65% of the households subscribe to the daily paper, 37% subscribe to the weekly local paper, and 25% subscribe to both papers. a. Make a two-way table to represent this data. b. If a household is selected at random, what is the probability that it subscribes to at least one of the two papers? Shade these areas in your table. c. Charlie's neighbor subscribes to at least one paper. What is the probability that he receives the daily paper? CoormaBak9 2021-02-09 Answered

### Researchers carried out a survey of fourth-, fifth- and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. The two-way table summarizes the survey data. $$\begin{array}{c|c} & 4th\ grade & 5th\ grade & 6th\ grade &Total \\ \hline Grades &49&50&69&168\\ Athletic &24&36&38&98\\ Popular\ &19&22&28&69\\ \hline Total & 92 & 108 & 135 &335 \end{array}$$ Suppose we select one of these students at random. What's the probability of each of the following? The student is not a sixth-grader and did not rate good grades as important. preprekomW 2021-02-06 Answered

### Write a two-way table of observed counts for sex and whether a participant in soccer had a lower-extremity injury or not. Determine a two-way table of expected counts for these data. Show calculations verifying that the value of the chi-square statistic is 2.51. Bergen 2021-02-02 Answered

### The Pew Research Center asked a random sample of 2024 adult cellphone owners from the United States their age and which type of cell phone they own: iPhone, Android, or other (including non-smartphones). The two-way table summarizes the data. $$\begin{array}{c|ccc|c} & 18-34 & 35-54 & 55+ & \text { Total } \\ \hline \text { iPhone } & 169 & 171 & 127 & 467 \\ \text { Androod } & 214 & 189 & 100 & 503 \\ \text { Other } & 134 & 277 & 643 & 1054 \\ \hline \text { Total } & 517 & 637 & 870 & 2024 \end{array}$$ Suppose we select one of the survey respondents at random. What's the probability that: The person is not age 18 to 34 and does not own an iPhone? Ayaana Buck 2021-01-30 Answered

### In a study designed to see whether a controlled diet could retard the process of arteriosclerosis, a total of 846 randomly chosen persons were followed over an eight year period. Half were instructed to eat only certain foods, the other half could eat whatever they wanted. At the end of eight years, sixty-six persons in the diet group were found to have died of either myocardial infarction or cerebral infarction, as compared to ninety-three deaths of a similar nature in the control group. Do the appropriate analysis. Let $$\alpha=0.05$$ Kye 2021-01-30 Answered

### In 1912 the luxury liner Titanic struck an iceberg and sank. Some passengers got off the ship in lifeboats, but many died. The two-way table gives information about adult passengers who survived and who died, by class of travel. Check the conditions for performing a chisquare test for association. $$\begin{array}{l|c|c|c|c} & \text { First } & \text { Second } & \text { Third } & \text { Total } \\ \hline \text { Survived } & 197 & 94 & 151 & 442 \\ \hline \text { Died } & 122 & 167 & 476 & 765 \\ \hline \text { Total } & 319 & 261 & 627 & 1207 \\ \end{array}$$ permaneceerc 2021-01-19 Answered

### A survey of 4826 randomly selected young adults (aged 19 to 25 ) asked, "What do you think are the chances you will have much more than a middle-class income at age 30? The two-way table summarizes the responses. $$\begin{array} {c|cc|c} & \text { Female } & \text { Male } & \text { Total } \\ \hline \text { Almost no chance } & 96 & 98 & 194 \\ \hline \text { Some chance but probably not } & 426 & 286 & 712 \\ \hline \text { A 50-50 chance } & 696 & 720 & 1416 \\ \hline \text { A good chance } & 663 & 758 & 1421 \\ \hline \text { Almost certain } & 486 & 597 & 1083 \\ \hline \text { Total } & 2367 & 2459 & 4826 \end{array}$$ Choose a survey respondent at random. Define events G: a good chance, M: male, and N: almost no chance. Given that the chosen student didn't say "almost no chance," what's the probability that this person is female? Write your answer as a probability statement using correct symbols for the events. Dottie Parra 2021-01-10 Answered

### A group of 125 truck owners were asked what brand of truck they owned and whether or not the truck has four-wheel drive. The results are summarized in the two-way table below. Suppose we randomly select one of these truck owners. $$\begin{array}{c|cc} & \text { Four-wheel drive} & \text { No four-wheel drive } \\\hline \text { Ford } & 28 & 17 \\ \text { Chevy } & 32 & 18 \\ \text { Dodge } & 20 & 10 \end{array}$$ What is the probability that the person owns a Dodge or has four-wheel drive? $$(a) \frac{20}{80}$$ $$(b) \frac{20}{125}$$ $$(c) \frac{80}{125}$$ $$(d) \frac{90}{125}$$ $$(e) \frac{110}{125}$$ preprekomW 2021-01-08 Answered

### The two-way table below describes the members of the U.S Senate in a recent year. $$\begin{array}{ccc} \hline &\text{Male}&\text{Female}\\ \text{Democrats}&47&13\\ \text{Republicans}&36&4\\ \hline \end{array}$$ If we select a U.S. senator at random, what's the probability that the senator is a Democrat? cistG 2021-01-05 Answered

### A study among the Piria Indians of Arizona investigated the relationship between a mother's diabetic status and the number of birth defects in her children. The results appear in the two-way table. $$\text{Diabetic status}\ \begin{array}{ll|c|c|c} && \text { Nondiabetic } & \text { Prediabetic } & \text { Diabetic } \\ \hline & \text { None } & 754 & 362 & 38 \\ \hline & \text { One or more } & 31 & 13 & 9 \end{array}$$ What proportion of the women in this study had a child with one or more birth defects? Khadija Wells 2021-01-02 Answered

### A random sample of U.S. adults was recently asked, "Would you support or oppose major new spending by the federal government that would help undergraduates pay tuition at public colleges without needing loans?" The two-way table shows the responses, grouped by age. $$\begin{array}{ccc} & Age \ Response & {\begin{array}{l|r|r|r|r|r} & 18-34 & 35-49 & 50-64 & 65+ & Total \\ \hline Support & 91 & 161 & 272 & 332 & 856 \\ \hline Oppose & 25 & 74 & 211 & 255 & 565 \\ \hline Don't know & 4 & 13 & 20 & 51 & 88 \\ \hline Total & 120 & 248 & 503 & 638 & 1509 \end{array}} \ \end{array}$$ Do these data provide convincing evidence of an association between age and opinion about loan-free tuition in the population of U.S. adults? remolatg 2020-12-24 Answered

### The Titanic struck an iceberg and sank on its first voyage across the Atlantic in 1912. Some passengers got off the ship in lifeboats, but many died. The two-way table gives information about adult passengers who survived and who died, by class of travel. $$\begin{array}{c|c} & First & Second & Third \\ \hline Yes & 197 & 94 & 151\\ \hline No & 122 & 167 & 476\\ \end{array}$$ Suppose we randomly select one of the adult passengers who rode on the Titanic. Given that the person selected was in first class, what's the probability that he or she survived? CMIIh 2020-12-21 Answered

### A survey of 4826 randomly selected young adults (aged 19 to 25) asked, "What do you think are the chances you will have much more than a middle-class income at age 30?" The two-way table summarizes the responses. $$\begin{array}{c|cc|c} &\text { Female } & \text { Male } & \text { Total } \\ \hline \text { Almost no chance } & 96 & 98 & 194 \\ \hline \text { Some chance but } \ \text { probably not } & 426 & 286 & 712 \\\hline \text { A 50-50 chance } & 696 & 720 & 1416 \\ \hline \text { A good chance } & 663 & 758 & 1421 \\ \hline \text { Almost certain } & 486 & 597 & 1083 \\ \hline \text { Total } & 2367 & 2459 & 4826 \end{array}$$ Choose a survey respondent at random. Define events G: a good chance, M: male, and N: almost no chance. Find $$P(C∣M)$$. Interpret this value in context. e1s2kat26 2020-12-09 Answered

### A random sample of 88 U.S. 11th- and 12th-graders was selected. The two-way table summarizes the gender of the students and their response to the question "Do you have allergies?" Suppose we choose a student from this group at random. $$\begin{array}{c|cc|c} & \text { Female } & \text { Male } & \text { Total } \\ \hline \text{ Yes } & 19 & 15 & 34 \\ \text{ No } & 24 & 30 & 54 \\ \hline \text{ Total } & 43 & 45 & 88\\ \end{array}$$ What is the probability that the student is female or has allergies? $$(a)\frac{19}{88}$$ (b)$$\frac{39}{88}$$ (c)$$\frac{58}{88}$$ (d)$$\frac{77}{88}$$ rocedwrp 2020-11-09 Answered

### The two-way table summarizes data on the gender and eye color of students in a college statistics class. Imagine choosing a student from the class at random. Define event A: student is male and event B: student has blue eyes. $$\begin{array}{c|cc|c} &\text{Male}&\text{Female}&\text{Total}\\ \hline \text{Blue}&&&10\\ \text{Brown}&&&40\\ \hline \text{Total}&20&30&50 \end{array}$$ Copy and complete the two-way table so that events A and B are mutually exclusive. tabita57i 2020-10-27 Answered

### Sharing music online (5.2, 5.3). A sample survey reports that 29% of Internet users download music files online, 21% share music files from their computers, and 12% both download and share music. Make a two-way table that displays this information. Tammy Todd 2020-10-19 Answered

### Researchers carried out a survey of fourth-, fifth-, and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. This two-way table summarizes the survey data.  $$\begin{array} {|c|} & Grade \ Most important & \begin{array}{l|c|c|c|c} & \begin{array}{c} 4 \mathrm{th} \ grade \end{array} & \begin{array}{c} 5 \mathrm{th} \ \text { grade } \end{array} & \begin{array}{c} 6 \mathrm{th} \ grade \end{array} & Total \\ \hline Grades & 49 & 50 & 69 & 168 \\ \hline Athletic & 24 & 36 & 38 & 98 \\ \hline Popular & 19 & 22 & 28 & 69 \\ \hline Total & 92 & 108 & 135 & 335 \end{array} \ \end{array}$$  Suppose we select one of these students at random. What's the probability that: The student is a sixth grader or a student who rated good grades as important?

Regardless of whether you are looking for two-way tables exam questions or got stuck with various tasks based on some equations, you will find all the correct answers here. Since two-way tables questions are encountered by students coming from all disciplines from Physics to Sociology, the use of two-way tables should always focus on displaying the frequencies (both relative and not) for two categorical variables. It is the reason why there are two ways to solve the problem. Our examples are represented by both rows where each column is related to a particular variable.
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