Answer :
The conditions for calculating a confidence interval for p are met. Hence, Option A is the correct answer.
The question demands to check the conditions for calculating a confidence interval for p, where p = the proportion of all Oregon whelks that will spontaneously drill into mussels. The proportion of the 98 whelks that drilled into a mussel is given as pˆ = 9/98. To calculate a confidence interval for the proportion p, there are certain conditions that need to be met.
The sample needs to be random, and in this case, the whelk eggs collected were indeed a random sample. Large counts must be observed. This condition is met because 9(98/9) and 89(98/89) are greater than or equal to 10. Hence, the conditions for calculating a confidence interval for p are met.Therefore, Option A is the correct answer.
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