There are 3 questions in this posting. Exercise 135, 169 and 167

Chapter 6, Section 3-D, Exercise 135

Consider random samples of size40

drawn from populationA

with proportion0.33

and random samples of size30

drawn from populationB

with proportion0.29

.

Incorrect.

(a) Find the standard error of the distribution of differences in sample proportions,p

^

A

-

p

^

B

.

Round your answer for the standard error to three decimal places.

standard error=

Chapter 6, Section 3-HT, Exercise 169

MORE BENEFITS OF EATING ORGANIC

Using data from a study, we find a significant difference in the proportion of fruit flies surviving after13

days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data from this study.¹In this case, we are testing

H

0

:

p

o

=

p

c

H

a

:

p

o

>

p

c

wherep

o

andp

c

represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. We haven

1

=

n

2

=

500

. Show all remaining details in the test, using a5

%

significance level.

Effect of Organic Potatoes After 20 Days

After20

days,250

of the500

fruit flies eating organic potatoes are still alive, while130

of the500

eating conventional potatoes are still alive.

¹Proportions approximated from information given in the paper.

Give the test statistic and thep

-value.

Round your answers to three decimal places.

Test statistic=

p

-value=

What is the conclusion?

Reject H_0. or Do not reject H_0.

Chapter 6, Section 3-HT, Exercise 167

MORE BENEFITS OF EATING ORGANIC

Using data from a study, we find a significant difference in the proportion of fruit flies surviving after13

days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data from this study.¹In this case, we are testing

H

0

:

p

o

=

p

c

H

a

:

p

o

>

p

c

wherep

o

andp

c

represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. We haven

1

=

n

2

=

500

. Show all remaining details in the test, using a5

%

significance level.

Effect of Organic Bananas After 15 Days

After15

days,345

of the500

fruit flies eating organic bananas are still alive, while320

of the500

eating conventional bananas are still alive.

¹Proportions approximated from information given in the paper.

Your answer is partially correct.Try again.

Give the test statistic and thep

-value.

Round your answers to three decimal places.

Test statistic=

p

-value=