Final answer:
The proportion of students in the sample with a pet cat is calculated by dividing 45 (the number of students with cats) by 150 (the total number of students surveyed), yielding a result of 30%.
Step-by-step explanation:
The proportion of students in the sample who have a pet cat is found by dividing the number of students who have a cat by the total number of students surveyed. So, using the numbers given:
Number of students with a pet cat = 45
Total number of students surveyed = 150
Proportion of students with a pet cat = Number of students with a pet cat ÷ Total number of students surveyed = 45 ÷ 150
Now, performing the division:
Proportion = 0.30
This means that 30% of the students in the sample have a pet cat.