Answer:
Yes, the random conditions are met
Step-by-step explanation:
From the question, np^ = 32 and n(1 − p^) = 18.
Thus, we can say that:Yes, the random condition for finding confidence intervals is met because the values of np^ and n(1 − p^) are greater than 10.
Also, Yes, the random condition for finding confidence intervals is met because the sample size is greater than 30.
Confidence interval approach is valid if;
1) sample is a simple random sample
2) sample size is sufficiently large, which means that it includes at least 10 successes and 10 failures. In general a sample size of 30 is considered sufficient.
These two conditions are met by the sample described in the question.
So, Yes, the random conditions are met.
