select all the correct answers.\na radio station surveyed a group of men and women, asking them to name the…

select all the correct answers.\na radio station surveyed a group of men and women, asking them to name the genre of music they prefer. this table shows the survey results.\n| | pop | jazz | rock | hip - hop |\n|--|--|--|--|--|\n| men | 16 | 38 | 101 | 45 |\n| women | 91 | 48 | 22 | 39 |\nwhich statements about this data are true? round your answers to the nearest hundredth.\n□ the relative frequency of people who prefer jazz who are women is 0.24.\n□ the relative frequency of men who prefer hip - hop is 0.54.\n□ the relative frequency of people who prefer rock who are men is 0.50.\n□ the relative frequency of women who prefer pop is 0.46.\n□ the relative frequency of people who prefer hip - hop who are women is 0.46.

select all the correct answers.\na radio station surveyed a group of men and women, asking them to name the genre of music they prefer. this table shows the survey results.\n| | pop | jazz | rock | hip - hop |\n|--|--|--|--|--|\n| men | 16 | 38 | 101 | 45 |\n| women | 91 | 48 | 22 | 39 |\nwhich statements about this data are true? round your answers to the nearest hundredth.\n□ the relative frequency of people who prefer jazz who are women is 0.24.\n□ the relative frequency of men who prefer hip - hop is 0.54.\n□ the relative frequency of people who prefer rock who are men is 0.50.\n□ the relative frequency of women who prefer pop is 0.46.\n□ the relative frequency of people who prefer hip - hop who are women is 0.46.

Answer

Explanation:

Step1: Calculate total number of people

$16 + 38+101 + 45+91+48+22+39=400$

Step2: Calculate relative - frequency of women who prefer jazz

Number of women who prefer jazz is $48$. Relative frequency $=\frac{48}{400}=0.12\neq0.24$

Step3: Calculate relative - frequency of men who prefer hip - hop

Number of men who prefer hip - hop is $45$. Relative frequency $=\frac{45}{400}=0.1125\neq0.54$

Step4: Calculate relative - frequency of men who prefer rock

Number of men who prefer rock is $101$. Relative frequency $=\frac{101}{400}=0.2525\neq0.50$

Step5: Calculate relative - frequency of women who prefer pop

Number of women who prefer pop is $91$. Relative frequency $=\frac{91}{400}=0.2275\neq0.46$

Step6: Calculate relative - frequency of women who prefer hip - hop

Number of women who prefer hip - hop is $39$. Relative frequency $=\frac{39}{400}=0.0975\neq0.46$

Answer:

None of the statements are true.