Which two of the following statements are true? a.Parent status (New parent/returning parent) and their attitude towards school (Recommend/Would not recommend) are independent factorsb.Returning parents are less likely to recommend the school compared to new parentsc.In general, parents are less likely to recommend the secondary school d.New parents are less inclined to recommend the school.
Question
Which two of the following statements are true? a.Parent status (New parent/returning parent) and their attitude towards school (Recommend/Would not recommend) are independent factorsb.Returning parents are less likely to recommend the school compared to new parentsc.In general, parents are less likely to recommend the secondary school d.New parents are less inclined to recommend the school.
Solution
To determine which statements are true, we need to analyze the data from the probability distribution table.
a. Parent status (New parent/returning parent) and their attitude towards school (Recommend/Would not recommend) are independent factors.
This statement cannot be confirmed as true or false without conducting a statistical test for independence.
b. Returning parents are less likely to recommend the school compared to new parents.
According to the table, the probability of a returning parent recommending the school is 0.252, while the probability of a new parent recommending the school is 0.108. Therefore, this statement is false.
c. In general, parents are less likely to recommend the secondary school.
According to the table, the total probability of parents recommending the school (0.360) is less than the total probability of parents not recommending the school (0.640). Therefore, this statement is true.
d. New parents are less inclined to recommend the school.
According to the table, the probability of a new parent recommending the school is 0.108, which is less than the probability of a new parent not recommending the school (0.456). Therefore, this statement is true.
So, the correct answers are c. In general, parents are less likely to recommend the secondary school and d. New parents are less inclined to recommend the school.
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