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, Hi :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.

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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.
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