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?

______ | Male | Female
English | 4 | 5
History | 7 | 3
Math | 10 | 6
Science| 8 | 10

Respuesta :

Answer:

No, she was not  correct.

There are less number of males that preferred history(121) than the number of females that preferred math(125)

Step-by-step explanation:

We are given a table of values as:

Subjects    | Male     |    Female

English      |    4        |      5

History      |    7         |      3

Math          |   10        |      6

Science     |    8         |     10

Total          |   29        |     24

Hence, the probability of male who prefer history is: 7/29

Hence, the number of male who prefer history is:

(7/29)×500=120.6897

which is approx 121.

and the probability of female who prefer math are: 6/24

Hence, the number of female who prefer math is:

(6/24)×500=125

Answer:

The Henrietta was incorrect.

Step-by-step explanation:

Given : 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.

To find : Was she correct?

Solution :

The table showing data is

Subject | Male | Female

English |   4      |    5

History |    7      |    3

Math     |   10     |    6

Science|    8      |   10

Total     |   29     |   24

Now, we compare the number of males that preferred history and the number of females that preferred math.

Number of male preferred history is 7

Probability of male preferred history is [tex]\frac{7}{29}[/tex]

Total number of male preferred history from 500 male is

[tex]\frac{7}{29}\times 500=120.6[/tex]

Approximately The number of male preferred history is 121.

Now, Number of female preferred math is 6

Probability of female preferred math is [tex]\frac{6}{24}[/tex]

Total number of female preferred math from 500 female is

[tex]\frac{6}{24}\times 500=120.6[/tex]

Approximately The number of female preferred math is 125.

125>121 as the number of female preferred math is higher than the number of male preferred history.

Therefore, The Henrietta was incorrect.