students in 7th and 8th grade were asked the types of movies they prefer. the results of the survey are…

students in 7th and 8th grade were asked the types of movies they prefer. the results of the survey are shown in the two - way table. which statements are correct? check all that apply. more 7th graders were surveyed than 8th graders. the marginal relative frequency for action movies is 44%. the joint relative frequency for 8th graders who like comedy movies is 16%. most students prefer drama movies. half of the 7th graders prefer action movies.\n| | 7th | 8th | total |\n|--|--|--|--|\n| drama | 11% | 15% | 26% |\n| action | 25% | 19% | 44% |\n| comedy | 14% | 16% | 30% |\n| total | 50% | 50% | 100% |

students in 7th and 8th grade were asked the types of movies they prefer. the results of the survey are shown in the two - way table. which statements are correct? check all that apply. more 7th graders were surveyed than 8th graders. the marginal relative frequency for action movies is 44%. the joint relative frequency for 8th graders who like comedy movies is 16%. most students prefer drama movies. half of the 7th graders prefer action movies.\n| | 7th | 8th | total |\n|--|--|--|--|\n| drama | 11% | 15% | 26% |\n| action | 25% | 19% | 44% |\n| comedy | 14% | 16% | 30% |\n| total | 50% | 50% | 100% |

Answer

Answer:

  • The marginal relative frequency for action movies is 44%.
  • The joint relative frequency for 8th - graders who like comedy movies is 16%.

Explanation:

Step1: Analyze number of students surveyed

The total percentage for 7th - graders is 50% and for 8th - graders is 50%, so an equal number of 7th and 8th - graders were surveyed. So, "More 7th graders were surveyed than 8th graders" is incorrect.

Step2: Check marginal relative frequency for action movies

The sum of the 7th - grade and 8th - grade percentages for action movies is (25%+19% = 44%). So, "The marginal relative frequency for action movies is 44%" is correct.

Step3: Check joint relative frequency for 8th - graders who like comedy movies

The percentage for 8th - graders who like comedy movies is 16%, so "The joint relative frequency for 8th - graders who like comedy movies is 16%" is correct.

Step4: Check movie preference

The highest marginal relative frequency is for action movies (44%) not drama movies (26%), so "Most students prefer drama movies" is incorrect.

Step5: Check 7th - graders' action - movie preference

The percentage of 7th - graders who prefer action movies is 25%, not 50%, so "Half of the 7th graders prefer action movies" is incorrect.