Labor Day was created by the US Labor movement over 100 years ago. It was subsequently adopted by most states as an official holiday.  In a recent poll by the Gallup organization, 1003 randomly selected adults were asked whether they approve of labor unions, and 65% said yes.  In 1936, about 72% of Americans approved of labor unions. At the 5% significance level, does the data prove that the support of labor unions has decreased since 1936? (a)  State the null and altern

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Labor Day was created by the US Labor movement over 100 years ago. It was subsequently adopted by most states as an official holiday.  In a recent poll by the Gallup organization, 1003 randomly selected adults were asked whether they approve of labor unions, and 65% said yes. 

    • In 1936, about 72% of Americans approved of labor unions. At the 5% significance level, does the data prove that the support of labor unions has decreased since 1936?

(a)  State the null and alternative hypotheses

 

(b)  Find the value of your test statistic.  Draw a picture and label its location on the normal curve.  Also shade the area where you will find the p-value

 

(c)  Calculate the p-value from the sample data.  Compare it to the significance level.  Label it’s value and location on your bell curve

 

 

 

(d)  full conclusion based on the above results

 

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