Question

dalton conducted a survey of randomly selected students with education galaxy accounts to determine students favorite games. the table shows the results of the survey. favorite education galaxy games game number of students blast off 47 boss battles 60 galaxy defenders 52 rocket ship 40 space cracken 29 stardust 34 wormhole 38 hich inference about all students with education galaxy accounts is best supported by the information in the table? a less than half of the students like blast off, boss battles, or galaxy defenders best. b more than half of the students like blast off, galaxy defenders, or wormhole the best. c one - third of the students like boss battles or rocket ship best. d one - third of the students like blast off or wormhole best.

Explanation:

To solve this, we first calculate the total number of students surveyed and then analyze each option.

Step 1: Calculate Total Number of Students

Sum the number of students for all games:
\(47 + 60 + 52 + 40 + 29 + 34 + 38\)
\(= 47 + 60 = 107\); \(107 + 52 = 159\); \(159 + 40 = 199\); \(199 + 29 = 228\); \(228 + 34 = 262\); \(262 + 38 = 300\).
Total students: \(300\).

Analyze Option A:

Sum for Blast Off, Boss Battles, Galaxy Defenders: \(47 + 60 + 52 = 159\).
Half of \(300\) is \(150\). \(159 > 150\) (more than half), so A is false.

Analyze Option B:

Sum for Blast Off, Galaxy Defenders, Wormhole: \(47 + 52 + 38 = 137\).
Half of \(300\) is \(150\). \(137 < 150\) (less than half), so B is false.

Analyze Option C:

Sum for Boss Battles, Rocket Ship: \(60 + 40 = 100\).
One - third of \(300\) is \(\frac{1}{3}\times300 = 100\). So this is exactly one - third, and since the question says "best supported", this matches.

Analyze Option D:

Sum for Blast Off, Wormhole: \(47 + 38 = 85\).
One - third of \(300\) is \(100\). \(85
eq100\), so D is false.

Answer:

C. One - third of the students like Boss Battles or Rocket Ship best.