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Lab 16- One Proportion Confidence IntervalsBe sure to state all necessary conditions for inference.Problem 1: To study the addictive effects of heroin, researchers for the National Institute on Drug Abusereported that, in a random sample of 220 heroin users, 23% of them developed an opioid addiction.Create and interpret a 90% confidence interval for the true proportion of heroin users that develop anopioid addiction.inaradomsamplenceintheralfothetrueproportion of heroin users thatProblem 2: A statistics professor asked his students whether or not they were registered to vote. In asample of 50 of his students (randomly sampled from his 700 students), 35 said they were registered tovote. Find a 95% confidence interval for the true proportion of the professor's students who wereregistered to vote.

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Hi am having difficulty answering Problem 2, thank you.

Lab 16- One Proportion Confidence Intervals
Be sure to state all necessary conditions for inference.
Problem 1: To study the addictive effects of heroin, researchers for the National Institute on Drug Abuse
reported that, in a random sample of 220 heroin users, 23% of them developed an opioid addiction.
Create and interpret a 90% confidence interval for the true proportion of heroin users that develop an
opioid addiction.
inaradomsamplenceintheralfothetrueproportion of heroin users that
Problem 2: A statistics professor asked his students whether or not they were registered to vote. In a
sample of 50 of his students (randomly sampled from his 700 students), 35 said they were registered to
vote. Find a 95% confidence interval for the true proportion of the professor's students who were
registered to vote.
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Lab 16- One Proportion Confidence Intervals Be sure to state all necessary conditions for inference. Problem 1: To study the addictive effects of heroin, researchers for the National Institute on Drug Abuse reported that, in a random sample of 220 heroin users, 23% of them developed an opioid addiction. Create and interpret a 90% confidence interval for the true proportion of heroin users that develop an opioid addiction. inaradomsamplenceintheralfothetrueproportion of heroin users that Problem 2: A statistics professor asked his students whether or not they were registered to vote. In a sample of 50 of his students (randomly sampled from his 700 students), 35 said they were registered to vote. Find a 95% confidence interval for the true proportion of the professor's students who were registered to vote.

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check_circleAnswer
Step 1

Problem 2:

Here, π be the true population proportion of all students who were registered to vote and n is the sample size.

The conditions for the proportion test for sample size n and the sample proportion p,

  • The data should be selected randomly.
  • Product np is greater than or equal to 10.
  • Product n(1–p) is greater than or equal to 10.

Conditions for this problem:

Here, 50 students are selected randomly.

Step 2

The proportion of students who were registered to vote is,

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Step 3

For this pro...

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