A consulting group recently conducted a global survey of product teams with the goal of better understanding the dynamics of product team performance and uncovering the practices that make these teams successful. One of the survey findings was that 32​% of organizations have a coherent business strategy that they stick to and effectively communicate. Suppose another study is conducted to check the validity of this​ result, with the goal of proving that the percentage is less than 32​%.   A sample of 150 organizations is​ selected, and results indicate that 41 organizations have a coherent business strategy that they stick to and effectively communicate. Use the​ p-value approach to determine at the 0.01 level of significance whether there is evidence that the percentage is less than 32​%.   Calculate the test statistic.   The test​ statistic, ZSTAT​, is _______ ​(Type an integer or a decimal. Round to two decimal places as​ needed.) Calculate the​ p-value.   The​ p-value is ________ ​(Type an integer or a decimal. Round to three decimal places as​ needed.) State the conclusion of the test.       _______ the null hypothesis. There is _______ evidence to conclude that the percentage of organizations which have a coherent business strategy that they stick to and effectively communicate is less than 32​%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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A consulting group recently conducted a global survey of product teams with the goal of better understanding the dynamics of product team performance and uncovering the practices that make these teams successful. One of the survey findings was that 32​% of organizations have a coherent business strategy that they stick to and effectively communicate. Suppose another study is conducted to check the validity of this​ result, with the goal of proving that the percentage is less than 32​%.

 

A sample of 150 organizations is​ selected, and results indicate that 41
organizations have a coherent business strategy that they stick to and effectively communicate. Use the​ p-value approach to determine at the
0.01 level of significance whether there is evidence that the percentage is less than 32​%.
 
Calculate the test statistic.
 
The test​ statistic, ZSTAT​, is _______
​(Type an integer or a decimal. Round to two decimal places as​ needed.)
Calculate the​ p-value.
 
The​ p-value is ________
​(Type an integer or a decimal. Round to three decimal places as​ needed.)
State the conclusion of the test.
 
 
 
_______ the null hypothesis. There is _______ evidence to conclude that the percentage of organizations which have a coherent business strategy that they stick to and effectively communicate is less than 32​%
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