Jennifer surveyed her classmates recording gender, whether or not they had siblings, and if they liked school.

Class Survey

Gender Have Siblings Like School
1 male 2 siblings like school
2 male no siblings does not like school
3 female no siblings like school
4 female no siblings does not like school
5 female 3 siblings like school
6 male 1 sibling like school
7 male 2 siblings like school
8 male no siblings like school
9 female 1 sibling like school
10 female 1 sibling like school
11 female 3 siblings does not like school
12 male 1 sibling like school
13 female 2 siblings like school
14 female no sibling like school
Which two-way table displays if they like school and if they have any siblings?

a
12877.png

b
12876.png

c
12875.png

d
12878.png

b

12876.png

is that the answer

Yes, that is the correct answer.

Henrietta surveyed her high school classmates on their favorite subjects. She recorded their gender and favorite subject. She concluded that if she surveyed 500 male and 500 female high school students she would find a higher number of males that preferred history than the number of females that preferred math. Was she correct?

Responses
A No, because the relative frequency of males who like history is lower than the relative frequency of females who like math.No, because the relative frequency of males who like history is lower than the relative frequency of females who like math.
B Yes, because the relative frequency of males who like history is lower than the relative frequency of females who like math.Yes, because the relative frequency of males who like history is lower than the relative frequency of females who like math.
C Yes, because 7 males liked history while only 6 females liked math. Therefore, the number of males would be greater.Yes, because 7 males liked history while only 6 females liked math. Therefore, the number of males would be greater.
D No, because the relative frequency of males who like history is higher than the relative frequency of females who like math.

A. No, because the statement in the question contradicts this option. The question states that Henrietta concluded that there would be a higher number of males who prefer history than females who prefer math.

Julien interviewed his classmates on whether they prefer cats to dogs and if they have taken a French or Spanish course. He concluded that if he interviewed 1000 people that the French students who prefer dogs would be the same as Spanish students who prefer cats. Is he correct?

Responses
A Yes, dog and French is the same number as cat and SpanishYes, dog and French is the same number as cat and Spanish
B Yes, looking at pictures from both countries you see a lot of French people with dogs and Spanish people with cats.Yes, looking at pictures from both countries you see a lot of French people with dogs and Spanish people with cats.
C No, the relative frequencies for the two are not the same.No, the relative frequencies for the two are not the same.
D No, dogs are becoming much more popular so they should not be the same.No, dogs are becoming much more popular so they should not be the same.

C. No, the relative frequencies for the two are not the same. There is no information in the question to suggest that the relative frequencies for French students who prefer dogs and Spanish students who prefer cats would be the same.

Mr. White collected data from his eighth grade class on whether they prefer the zoo or the museum. Based on the data collected, if the eighth grade has 90 girls and 78 boys, which statement is true?

Responses
A 36 girls will choose the zoo36 girls will choose the zoo
B 47 boys will choose the museum47 boys will choose the museum
C 31 boys will choose the zoo31 boys will choose the zoo
D 60 girls will choose the museum60 girls will choose the museum
E 40 girls will choose the zoo

There is not enough information to determine which statement is true. The question only states that Mr. White collected data on zoo vs museum preferences, but it does not provide any information on the number of students who prefer each option.

To determine which two-way table displays whether or not the students like school and if they have siblings, we need to analyze the given data.

Looking at the survey data, we see that there are three categories for each student: gender, having siblings, and liking school. We want to create a two-way table that cross-tabulates the variables "Have Siblings" and "Like School."

Let's create a table using the information provided:

| Have Siblings | Don't Have Siblings |
------------|---------------|---------------------|
Like School | | |
Don't Like | | |

Now, let's fill in the table using the given data:

| Have Siblings | Don't Have Siblings |
------------|---------------|---------------------|
Like School | 4 | 4 |
Don't Like | 1 | 1 |

By counting the number of students who like school and have siblings and the number of students who don't like school and have siblings, we can complete the table.

Now, let's compare this table to the options provided:

a
12877.png

b
12876.png

c
12875.png

d
12878.png

By comparing the completed table with the options, we can see that option (b) 12876.png displays the correct cross-tabulation of "Like School" and "Have Siblings."

Therefore, the correct answer is option (b) 12876.png.