The Health Behaviour in School-Aged Children (HSBC) network collects data on various behaviors of preteen and teenage children. In 2006, the HSBC network surveyed a randomly selected sample of 1661 preteen and teenage boys in Hungary to determine what proportion of students were bullied at least twice per month in the previous few months. In the sample, 104students were bullied at least twice per month, and 1557 students were bullied less than twice per month.

The HSBC network wants to construct a 95% confidence interval for p, the proportion of preteen and teenage boys who are bullied at least twice per month in Hungary. Have the requirements for a large-sample z-confidence interval been met?
a. Mark all of the following requirements that have been met with yes, and the requirements that have not been met with no.
b. The sample is a simple random sample.
c. The parameter of interest is categorical with two possible outcomes, which are considered success and failure.
d. When the sample size, proportion of successes, and proportion of failures are multiplied, the product is sufficiently large.
e. The requirements for constructing a large-sample z-confidence interval for a proportion have been met.

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