A reader wrote in to the “Ask Marilyn” column in Parade magazine to say that his grandfather told him that in three-quarters of all baseball games, the winning team scores more runs in one inning than the losing team scores in the entire game. (This phenomenon is known as a “big bang.”) Marilyn responded that this proportion seemed too high to be believable. Let p be the proportion of all major-league baseball games in which a “big bang” occurs. 1. Restate the grandfather’s assertion as the null hypothesis, in symbols and in words. 2. Given Marilyn’s conjecture, state the alternative hypothesis, in symbols and in words. To investigate this claim, we randomly selected one week of the 2006 major-league baseball season, which turned out to be July 31-August 6, 2006. Then we examined the 95 games played that week to determine which had a big bang and which did not. Of the 95 games in our sample, 47 contained a big bang. 3. Is this sample proportion less than three-fourths and therefore consistent with Marilyn’s (alternative) hypothesis? 4. Calculate the test statistic and find the p-value. 5. Based on the p-value, state your conclusion with α = 0.01. In her response, Marilyn went on to conjecture that the actual proportion of “big bang” games is one-half. 6. Use a two-sided alternative, state the null and alternative hypothesis (in symbols and in words) for testing Marilyn’s claim. 7. Determine the test statistic and p-value. 8. What conclusion would you draw concerning Marilyn’s conjecture using the same α. 9. Use the sample data to produce a 95% confidence interval to estimate the proportion of all major-league baseball games that contain a big bang.

Name: A reader wrote in to the “Ask Marilyn” column in Parade magazine to sa
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: A reader wrote in to the “Ask Marilyn” column in Parade magazine to say that his grandfather told him that in three-quarters of all baseball games, the winning team scores more runs in one inning than the losing team scores in the entire game. (This

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

A reader wrote in to the “Ask Marilyn” column in Parade magazine to say that his grandfather told him that in three-quarters of all baseball games, the winning team scores more runs in one inning than the losing team scores in the entire game. (This phenomenon is known as a “big bang.”) Marilyn responded that this proportion seemed too high to be believable. Let p be the proportion of all major-league baseball games in which a “big bang” occurs. 1. Restate the grandfather’s assertion as the null hypothesis, in symbols and in words. 2. Given Marilyn’s conjecture, state the alternative hypothesis, in symbols and in words. To investigate this claim, we randomly selected one week of the 2006 major-league baseball season, which turned out to be July 31-August 6, 2006. Then we examined the 95 games played that week to determine which had a big bang and which did not. Of the 95 games in our sample, 47 contained a big bang. 3. Is this sample proportion less than three-fourths and therefore consistent with Marilyn’s (alternative) hypothesis? 4. Calculate the test statistic and find the p-value. 5. Based on the p-value, state your conclusion with α = 0.01. In her response, Marilyn went on to conjecture that the actual proportion of “big bang” games is one-half. 6. Use a two-sided alternative, state the null and alternative hypothesis (in symbols and in words) for testing Marilyn’s claim. 7. Determine the test statistic and p-value. 8. What conclusion would you draw concerning Marilyn’s conjecture using the same α. 9. Use the sample data to produce a 95% confidence interval to estimate the proportion of all major-league baseball games that contain a big bang.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

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.

Similar questions