Chapter 5, Section 1, Exercise 005

Incorrect.

Find the area in the left tail more extreme thanz

=

-1.67

in a standard normal distribution.

Round your answer to three decimal places.

Area=

Enter your answer in accordance to the question statement

Chapter 5, Section 1, Exercise 011

Incorrect.

The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution.

TestH

0

:

p

1

=

p

2

vsH

a

:

p

1

<

p

2

when the samples haven

1

=

140

withp

^

1

=

0.20

, andn

2

=

90

withp

^

2

=

0.22

. The standard error ofp

^

1

-

p

^

2

from the randomization distribution is0.06

.

Find the value of the standardizedz

-test statistic.

Round your answer to two decimal places.

z

=

Enter your answer in accordance to the question statement

Chapter 5, Section 1, Exercise 013

Find thep

-value based on a standard normal distribution for each of the following standardized test statistics.

(a)z

=

0.85

for a right tail test for a difference in two proportions

Round your answer to two decimal places.

p

-value=

SHOW HINT

LINK TO TEXT

(b)z

=

-2.32

for a left tail test for a difference in two means

Round your answer to three decimal places.

p

-value=

SHOW HINT

LINK TO TEXT

(c)z

=

2.27

for a two-tailed test for a proportion

Round your answer to three decimal places.

p

-value=

QUESTION 4

Public Libraries and Children

A survey¹asked a random sample ofn

=

2752

US adults whether they had visited a public library in the last months. We see in that data that more females than males visit the library, but there is likely a confounding variable. The table below shows the survey results broken down by whether or not the participant is a parent of a minor. Find a99

%

confidence interval forp

C

-

p

N

, the difference in proportion visiting the libary between those with children in the house and those without.

YesNoTotal

Children in house421, 411, 832

No children in house810, 1110, 1920

Total1231, 1521, 2752

Table 1:Have you visited a public library in the last year?

Round your answers to three decimal places.

The99

%

confidence interval isEnter your answer; The 99% confidence interval, value 1

toEnter your answer; The 99% confidence interval, value 2

.

¹Rainie, L., "Libraries and Learning,"www.pewinternet.org/2016/04/07/libraries-and-learning/, Pew Research Center, April 7, 2016.