A survey was conducted to study the relationship between whether the family is buying or renting their home and the marital stat
us of the parents. Data were collected from a random sample of 280 families from a certain metropolitan area.
A meaningful graphical display of these data would be:
A. side-by-side box plots
B. a pie chart
C. a stemplot
D. a scatterplot
E. a contingency table
A meaningful graphical display of these data would be:
A. side-by-side box plots
B. a pie chart
C. a stemplot
D. a scatterplot
E. a contingency table
1 answer:
Answer:
E. a contingency table
Step-by-step explanation:
First we need to identify the number of variables in the survey. The choice of graphical display depends on the number of variables and their types.
The survey was conducted to study the relationship between:
1) Whether the family is buying or renting their homes
This is a categorical variable with 2 possible options
2) Marital Status of the Parents
This is also a categorical variable with 4 possible options: Married, single, divorced, and widowed
This means, we have to display 2 categorical variables side by side, showing their relationship. To display such data we always use a contingency table.
A contingency table or a 2-way table is a type of Frequency Distribution that is used to summarize the relationship between two or more Categorical Variables. Its similar to matrix form i.e. in form of rows and columns of a table. The minimum size is 2 rows and 2 columns.
An example of the contingency table that can be drawn for a data collected in a similar survey is shown in the image below.
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Answer:
Step-by-step explanation:
a) A square is a rectangle. True
Reason: Property of Rectangle: (i) Opposite sides are equal and parallel. (ii) Each angle is 90 (iii) Diagonals are equal and bisect each other.
A square hold all these properties. A square is a rectangle.
b) A polygon with 21 sides has 432 possible diagonals. False
Reason: Number of diagonals of a polygon =
n --> number of sides of a polygon.
= = 189 diagonals
c) All three angles in an Isosceles triangle are equal. False
Reason: In an isosceles triangle, two angles are equal.
If three angles are equal, then that is an equilateral triangle.
d) The measures of the exterior angles of a nonagon, a nine-sided figure, have a sum of 360°. True.
Reason: The sum of measures of the exterior angles of any polygon is 360
Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).
<h3>What is a confidence interval of proportions?</h3>A confidence interval of proportions is given by:
In which:
is the sample proportion.
- z is the critical value.
- n is the sample size.
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:
Hence the bounds of the interval are found as follows:
The 95% confidence interval is (0.2316, 0.3112).
More can be learned about the z-distribution at brainly.com/question/25890103