the two - way frequency table represents data from a survey asking a random sampling of people whether they…

the two - way frequency table represents data from a survey asking a random sampling of people whether they can see the sunrise or sunset from the front of their home.\nview from home\n| |sunrise|no sunrise|total|\n|--|--|--|--|\n|sunset|14|12|26|\n|no sunset|7|5|12|\n|total|21|17|38|\nwhich is the joint relative frequency for the people who can only see the sunset?\n$\frac{5}{38}$\n$\frac{7}{38}$

the two - way frequency table represents data from a survey asking a random sampling of people whether they can see the sunrise or sunset from the front of their home.\nview from home\n| |sunrise|no sunrise|total|\n|--|--|--|--|\n|sunset|14|12|26|\n|no sunset|7|5|12|\n|total|21|17|38|\nwhich is the joint relative frequency for the people who can only see the sunset?\n$\frac{5}{38}$\n$\frac{7}{38}$

Answer

Explanation:

Step1: Identify joint - frequency value

The number of people who can only see the sunset (can see sunset but no sunrise) is 12.

Step2: Identify total number of people

The total number of people surveyed is 38.

Step3: Calculate joint - relative frequency

The joint - relative frequency is the ratio of the joint - frequency to the total number of data points. So the joint - relative frequency for people who can only see the sunset is $\frac{12}{38}$. But among the given options, we note that there is a mistake in the problem - setup as the correct value is not in the options. If we assume the question means people who can see sunset and not sunrise (the value in the "Sunset" and "No Sunrise" cell), the correct value should be $\frac{12}{38}$. If we consider the closest interpretation from the options and assume some mis - understanding in the question's phrasing, and we think it might be asking about the "No Sunrise, Sunset" cell value relative to total, the value is $\frac{12}{38}$ which is not given. If we assume it's a wrong - option question and we go by the logic of the table values, and we consider the closest related value conceptually, the number of people who can see sunset but not sunrise is 12 out of 38. However, if we assume the question is mis - worded and it wants the value from the "Sunset" row and "No Sunrise" column relative to total, the correct value is $\frac{12}{38}$. Since the options are $\frac{5}{38}$ and $\frac{7}{38}$, there is an error in the options. But if we assume the question is about the "Sunset" and "No Sunrise" cell value relative to total, the value should be $\frac{12}{38}$. If we have to choose from the given options based on some mis - interpretation, we note that the number of people who can see sunset but not sunrise is 12, and the total is 38. Among the given options, if we assume some wrong data entry in the options and we consider the closest related value in the table, we know that the value for people who can see sunset but not sunrise is 12 out of 38. But if we have to choose from the given options, there is no correct answer. If we assume a wrong - option situation and we try to match the logic of the table, we know that the joint - relative frequency for people who can see sunset but not sunrise is $\frac{12}{38}$. But if we have to pick from the given options, there is an error in the options.

Answer:

None of the given options are correct. The correct joint - relative frequency for people who can see sunset but not sunrise is $\frac{12}{38}$.