Answer :
The conditions that were met by Amy's sample for constructing a confidence interval are the following:
1. The data is a random sample from the population of interest.2. The observed counts of successes and failures are both sufficiently large.3. Individual observations can be considered independent. Let's discuss these conditions in detail below:1. Random sample The sample should be randomly selected to avoid bias in the sample. A random sample should be representative of the population of interest. In Amy's sample, the data is a random sample from the population of interest, which met the condition.2. Sufficiently large count of success and failures There should be enough successes and failures in the sample.
If the counts are small, then the distribution will not be a normal distribution. In Amy's sample, the observed counts of successes and failures are both sufficiently large.3. Independent observationsIndividual observations must be independent. It means that the occurrence of one event does not influence the occurrence of another event. In Amy's sample, individual observations can be considered independent.
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