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Nkechi wants to use a one-sample z interval to estimate what proportion of candies in a bag are red. She takes a random sample of 24 of the 80 total candies and finds that 18 of the candies in the sample are red. Which conditions for constructing this confidence interval did Nkechi's sample meet? Choose all answers that apply

Answer :

Answer: The data is a random sample from the population of interest.

Step-by-step explanation: The condition is met since she randomly selected the sample from the population of interest.

The data is a random sample from the population of interests.(Option A), and individual observations can be considered independent.(Option C)

What are the conditions for valid inference about one proportion?

  • Random sample: The sample should be taken randomly.
  • Normal distribution of proportion: The sampling distribution of the proportion we're taking about should be normally distributed.
  • Independent observations: Each of the observations must be independent.

The missing options are:

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

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

C. Individual observations can be considered independent.

For this case, we're given that the sample was random.

Sample size is 24,which is not sufficiently large (usually we take > 30 as sufficiently large size).

Also, each candle was independent for being red colored.

Thus, the data is a random sample from the population of interests.(Option A), and individual observations can be considered independent.(Option C)

Learn more about valid inference about proportion here:

https://brainly.com/question/3663642

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