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1. Explain the meaning of a point estimate and a confidence interval. What is the procedure to construct a confidence interval for a parameter using Statcrunch?

1. Explain the meaning of a point estimate and a confidence interval. What is the procedure to construct a confidence interval for a parameter using Statcrunch?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 8SGR
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1. Explain the meaning of a point estimate and a confidence interval. What is the procedure to construct a confidence interval for a parameter using Statcrunch? 2. Explain what the statements below mean: a) A Rasmussen Reports national survey of 1000 adult Americans found that 18% dreaded Valentine's Day. The margin of error for the survey was 4.5 percentage points with 95% confidence. b) A Gallup poll of 547 adults Americans employed full or part time asked, "Generally speaking, would you say your commute to work is - very stressful, somewhat stressful, not that stressful at all?" Gallup reported that 24% of American workers said that their commute was "very" or "somewhat" stressful. The margin of error was 4 percentage points with 95% confidence. 3. Why do polling companies often survey 1060 individuals when they wish to estimate a population proportion with a margin of error 3% with 95% confidence? 4. Explain the procedure for testing a hypothesis using the P-value approach? What is the criterion for judging whether to reject the null hypothesis? 5. What does the level of significance represent in a test of hypothesis? 6. Explain the difference between "accepting" and "not rejecting" a null hypothesis. 7. Compare and contrast type I error and type II error. Give an example.
Transcribed Image Text:1. Explain the meaning of a point estimate and a confidence interval. What is the procedure to construct a confidence interval for a parameter using Statcrunch? 2. Explain what the statements below mean: a) A Rasmussen Reports national survey of 1000 adult Americans found that 18% dreaded Valentine's Day. The margin of error for the survey was 4.5 percentage points with 95% confidence. b) A Gallup poll of 547 adults Americans employed full or part time asked, "Generally speaking, would you say your commute to work is - very stressful, somewhat stressful, not that stressful at all?" Gallup reported that 24% of American workers said that their commute was "very" or "somewhat" stressful. The margin of error was 4 percentage points with 95% confidence. 3. Why do polling companies often survey 1060 individuals when they wish to estimate a population proportion with a margin of error 3% with 95% confidence? 4. Explain the procedure for testing a hypothesis using the P-value approach? What is the criterion for judging whether to reject the null hypothesis? 5. What does the level of significance represent in a test of hypothesis? 6. Explain the difference between "accepting" and "not rejecting" a null hypothesis. 7. Compare and contrast type I error and type II error. Give an example.
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