bradenton middle schools mascot is a cardinal. the student council surveyed some seventh - graders and…

bradenton middle schools mascot is a cardinal. the student council surveyed some seventh - graders and eighth - graders to find out what theyd prefer to name their mascot: courage the cardinal or champion the cardinal. this table shows the results of the survey.\n| | courage the cardinal | champion the cardinal | total |\n|--|--|--|--|\n| seventh graders | 23 | 19 | 42 |\n| eighth graders | 12 | 37 | 49 |\n| total | 35 | 56 | 91 |\nwhich statements are true? select all that apply.\na total of 91 eighth graders were surveyed.\nless than 50% of seventh graders surveyed preferred champion the cardinal.\nmore than 50% of students surveyed preferred courage the cardinal.\nmore eighth graders than seventh graders preferred champion the cardinal.

bradenton middle schools mascot is a cardinal. the student council surveyed some seventh - graders and eighth - graders to find out what theyd prefer to name their mascot: courage the cardinal or champion the cardinal. this table shows the results of the survey.\n| | courage the cardinal | champion the cardinal | total |\n|--|--|--|--|\n| seventh graders | 23 | 19 | 42 |\n| eighth graders | 12 | 37 | 49 |\n| total | 35 | 56 | 91 |\nwhich statements are true? select all that apply.\na total of 91 eighth graders were surveyed.\nless than 50% of seventh graders surveyed preferred champion the cardinal.\nmore than 50% of students surveyed preferred courage the cardinal.\nmore eighth graders than seventh graders preferred champion the cardinal.

Answer

Explanation:

Step1: Analyze statement about eighth - graders surveyed

The total number of eighth - graders surveyed is 49, not 91. So the statement "A total of 91 eighth - graders were surveyed" is false.

Step2: Analyze statement about seventh - graders' preference

The number of seventh - graders surveyed is 42. The number of seventh - graders who preferred Champion the Cardinal is 19. The proportion of seventh - graders who preferred Champion the Cardinal is $\frac{19}{42}\approx0.452<0.5$. So the statement "Less than 50% of seventh - graders surveyed preferred Champion the Cardinal" is true.

Step3: Analyze statement about students' overall preference

The total number of students surveyed is 91. The number of students who preferred Courage the Cardinal is 35. The proportion of students who preferred Courage the Cardinal is $\frac{35}{91}\approx0.385<0.5$. So the statement "More than 50% of students surveyed preferred Courage the Cardinal" is false.

Step4: Analyze statement about eighth - and seventh - graders' preference for Champion

The number of eighth - graders who preferred Champion the Cardinal is 37. The number of seventh - graders who preferred Champion the Cardinal is 19. Since 37 > 19, the statement "More eighth - graders than seventh - graders preferred Champion the Cardinal" is true.

Answer:

B. Less than 50% of seventh - graders surveyed preferred Champion the Cardinal. D. More eighth - graders than seventh - graders preferred Champion the Cardinal.