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Q. 1

Expert-verified

The Practice of Statistics for AP

Found in: Page 799

Book edition 4th

Author(s) David Moore,Daren Starnes,Dan Yates

Pages 809 pages

ISBN 9781319113339

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Short Answer

A major agricultural company is testing a newvariety of wheat to determine whether it is more resistant tocertain insects than is the current wheat variety. The pro-portion of a current wheat crop lost to insects is $4 %$ . Thus,the company wishes to test the following hypotheses:
$H_{0 : p} = 0.04$
$H_{0 : p} < 0.04$
Which of the following significance levels and sample sizes
would lead to the highest power for this test?
$(a) n = 200 and α = 0.01$
$(b) n = 400 and α = 0.05$
$(c) n = 400 and α = 0.01$
$(d) n = 500 and α = 0.01$
$(e) n = 500 and α = 0.05$

$e) n = 500, α = 0.05$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given information

we have been given five options from which one is correct and the correct is (e)

Step 2: Simplify

While it is possible to derive the power of a given function

$n = 500 and α = 0.05$

$The higher the sample size, the more power to detect differences.$

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Some high school physics students dropped a ball and measured the distance fallen (in centimeters) at various times (in seconds) after its release. If you have studied physics, then you probably know that the theoretical relationship between the variables is distance $= 490 {(t i m e)}^{2}$ . A scatterplot of the students’ data showed a clear curved pattern. At $0.68$ seconds after release, the ball had fallen $220.4$ centimeters. How much more or less did the ball fall than the theoretical model predicts?

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