to predict the result of the referendum, by testing the hypotheses H0: p = 0.43 against H1: p < 0.43.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
icon
Related questions
Topic Video
Question

Country X conducted a referendum, where voters were to answer either “yes” or “no” to a question on a political issue. A random sample of 2,150 eligible voters were asked in the poll and 950 of them answered “yes”. Let p denote the true population proportion of “yes” voters.

We wish to predict the result of the referendum, by testing the hypotheses H0: p = 0.43 against H1: p < 0.43.

  1. Perform a suitable test of these hypotheses at the 5% level of significance, stating your conclusion in terms of a predicted result for the referendum.
  2. Determine a 90% central confidence interval for p.                         

3.Explain the effect of using a larger sample on the confidence interval in part (ii)

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage