A Researcher Is Interested in Estimating the Proportion of Voters $\mathrm { p } : 0.113 < \mathrm { p } < 0.171$

question 62

Multiple Choice

A researcher is interested in estimating the proportion of voters who favor a tax on e-commerce. Based on a sample of 250 people, she obtains the following 99% confidence interval for the population proportion, $\mathrm { p } : 0.113 < \mathrm { p } < 0.171$ Which of the statements below is a valid interpretation
Of this confidence interval?

• A) If 100 different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, exactly 99 of these confidence intervals would contain the true value of p.
• B) If many different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, 99% of the time the true value of p would lie between 0.113 and 0.171.
• C) There is a 99% chance that the true value of p lies between 0.113 and 0.171.
• D) If many different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, in the long run 99% of the confidence intervals would contain the true value of p.

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Definitions:

Immediate Gratification

The desire to experience pleasure or fulfillment without delay or deferment, often prioritizing short-term rewards over long-term goals.

Social Structure

The complex system of relationships, hierarchies, and institutions within a society that shape individuals' roles and interactions.

Innate Psychology

Theoretical concept suggesting that aspects of human psychology are inherent and present at birth, rather than learned through experience.

Generational Difference

The social, cultural, and technological disparities observed between different age cohorts or generations.