The proportion, po, of foraging bumblebees not exposed to pesticides who bring very little pollen back to their nest is 0.4. A recent study of oraging bumblebees investigated the effect of exposure to a widely use aeonicotinoid pesticide called imidacloprid on pollen foraging rates. (Neonicotinoid pesticides are commonly used in agriculture due to thei ow toxicity in mammals.) Let p denote the proportion of foraging bumblebees exposed to imidacloprid who bring very little pollen back t cheir nest. A sample of 60 bumblebees were exposed to a low (field realistic) dose of imidacloprid; 39 of these bumblebees brought back very little pollen co their nest. Use these data to perform a test of the hypotheses Họ : p = 0.4, Hị : p > 0.4, by working through the following subparts of this part of the question. i) Calculate the observed value of the test statistic for this test. ii) Using the approximate normal null distribution of this test statistic, identify the rejection region of a test of the stated hypotheses using a 1% significance level.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

q1 b

The proportion, po, of foraging bumblebees not exposed to pesticides
who bring very little pollen back to their nest is 0.4. A recent study of
foraging bumblebees investigated the effect of exposure to a widely used
neonicotinoid pesticide called imidacloprid on pollen foraging rates.
(Neonicotinoid pesticides are commonly used in agriculture due to their
low toxicity in mammals.) Let p denote the proportion of foraging
bumblebees exposed to imidacloprid who bring very little pollen back to
their nest.
A sample of 60 bumblebees were exposed to a low (field realistic) dose
of imidacloprid; 39 of these bumblebees brought back very little pollen
to their nest. Use these data to perform a test of the hypotheses
Họ : p = 0.4, Hị :p > 0.4,
by working through the following subparts of this part of the question.
(i) Calculate the observed value of the test statistic for this test.
(ii) Using the approximate normal null distribution of this test
statistic, identify the rejection region of a test of the stated
hypotheses using a 1% significance level.
(iii) Report and interpret the outcome of this hypothesis test.
Transcribed Image Text:The proportion, po, of foraging bumblebees not exposed to pesticides who bring very little pollen back to their nest is 0.4. A recent study of foraging bumblebees investigated the effect of exposure to a widely used neonicotinoid pesticide called imidacloprid on pollen foraging rates. (Neonicotinoid pesticides are commonly used in agriculture due to their low toxicity in mammals.) Let p denote the proportion of foraging bumblebees exposed to imidacloprid who bring very little pollen back to their nest. A sample of 60 bumblebees were exposed to a low (field realistic) dose of imidacloprid; 39 of these bumblebees brought back very little pollen to their nest. Use these data to perform a test of the hypotheses Họ : p = 0.4, Hị :p > 0.4, by working through the following subparts of this part of the question. (i) Calculate the observed value of the test statistic for this test. (ii) Using the approximate normal null distribution of this test statistic, identify the rejection region of a test of the stated hypotheses using a 1% significance level. (iii) Report and interpret the outcome of this hypothesis test.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman