Question

Nkechi wants to use a one sample z intreval to estimate what proportion of candles in a bag are red. She takes a random sample of 24 of the 80 total candies and finds that 18 of the candles in the samole are red.

Which conditions for constructing this confidence intreval did Nkechi's sample meet?

choose all answers that apply:

A. The data is a random samole from the population of intrests.

B The observed counts of successes and failures are both sufficiently large.

C. Individual observations can be considered independent

Answer 1

Nkechi wants to use a one sample z intreval to estimate what proportion of candles in a bag are red. She takes a random sample of 24 of the 80 total candies and finds that 18 of the candles in the sample are red.

Which conditions for constructing this confidence intreval did Nkechi's sample meet?

This is a binomial example. So we can use normal approximation for confidence interval.

1 The data is a random sample from the population of interests.

Since random sample is mentioned in the question.

2 The observed counts of successes and failures are both sufficiently large.

this isn't valid since we probably look at the sample size.

3 Individual observations can be considered independent

We can say each candle is independently red.