Question

Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and females, the following question: "Are you annoyed by people who repeatedly check their mobile phones while having an in-person conversation?" Among the

517517

males surveyed,

168168

responded "Yes"; among the

545545

females surveyed,

204204

responded "Yes." Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts (a) through (g) below.

(a) Determine the sample proportion for each sample.

The proportions of the females and males who took the survey who are annoyed by the

behavior in questionbehavior in question

are

nothing

and

nothing,

respectively.

(Round to four decimal places as needed.)

(b) Explain why this study can be analyzed using the methods for conducting a hypothesis test regarding two independent proportions. Select all that apply.

A.

The samples are dependent.

B.

The data come from a population that is normally distributed.

C.

n 1 ModifyingAbove p with caret 1 left parenthesis 1 minus ModifyingAbove p with caret 1 right parenthesis greater than or equals 10n1p11−p1≥10

and n 2 ModifyingAbove p with caret 2 left parenthesis 1 minus ModifyingAbove p with caret 2 right parenthesis greater than or equals 10n2p21−p2≥10

D.

The sample size is more than 5% of the population size for each sample.

E.

The samples are independent.

F.

The sample size is less than 5% of the population size for each sample.

(c) What are the null and alternative hypotheses? Let

p 1p1

represent the population proportion of females who are annoyed by the

behavior in questionbehavior in question

and

p 2p2

represent the population proportion of males who are annoyed by the

behavior in questionbehavior in question.

Upper H 0H0:

p 1p1

▼

less than<

equals=

not equals≠

greater than>

p 2p2

Upper H 1H1:

p 1p1

▼

not equals≠

less than<

equals=

greater than>

p 2p2(d) Describe the sampling distribution of

ModifyingAbove p with caret Subscript femalepfemaleminus−ModifyingAbove p with caret Subscript malepmale.

Draw a normal model with the area representing the P-value shaded for this hypothesis test.The sampling distribution is approximately normal with mean

nothing

and standard deviation

nothing.

(Type an integer or decimal rounded to four decimal places as needed.)

Draw a normal model with the area representing the P-value shaded for this hypothesis test. Choose the correct graph below, where the horizontal axis represents

ModifyingAbove p with caret Subscript femalepfemaleminus−ModifyingAbove p with caret Subscript malepmale.

A.0

font size decreased by 2 0.0490.049

A normal curve is over a horizontal axis and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at 0.049. The area under the curve and to the left of the vertical line segment is shaded.

B.0

font size decreased by 2 0.0490.049

A normal curve is over a horizontal axis and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at 0.049. The area under the curve and to the right of the vertical line segment is shaded.

C.0

font size decreased by 2 negative 0.049−0.049

A normal curve is over a horizontal axis and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at negative 0.049. The area under the curve and to the left of the vertical line segment is shaded.

D.0

font size decreased by 2 negative 0.049−0.049

A normal curve is over a horizontal axis and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at negative 0.049. The area under the curve and to the right of the vertical line segment is shaded.

(e) Determine the P-value based on the model from part (d).

First find the test statistic for this hypothesis test.

nothing

(Round to two decimal places as needed.)

Determine the P-value for this hypothesis test.

nothing

(Round to three decimal places as needed.)

(f) Interpret the P-value.

If the population proportions are

▼

not equal,

equal,

one would expect a sample difference proportion

▼

greater than the absolute value ofgreater than the absolute value of

greater thangreater than

smaller than the absolute value ofsmaller than the absolute value of

smaller thansmaller than

the one observed in about

nothing

out of 1000 repetitions of this experiment.

(Round to the nearest integer as needed.)

(g) Based on the P-value, what does the sample evidence suggest? That is, what is the conclusion of the hypothesis test? Assume an

alphaαequals=0.010.01

level of significance.

A.

RejectReject

Upper H 0H0.

There

isis

sufficient evidence at the

alphaαequals=0.010.01

level of significance to suggest a higher proportion of females are annoyed by the

behavior in questionbehavior in question.

B.

Do not rejectDo not reject

Upper H 0H0.

There

isis

sufficient evidence at the

alphaαequals=0.010.01

level of significance to suggest a higher proportion of females are annoyed by the

behavior in questionbehavior in question.

C.

RejectReject

Upper H 0H0.

There

is notis not

sufficient evidence at the

alphaαequals=0.010.01

level of significance to suggest a higher proportion of females are annoyed by the

behavior in questionbehavior in question.

D.

Do not rejectDo not reject

Upper H 0H0.

There

is notis not

sufficient evidence at the

alphaαequals=0.010.01

level of significance to suggest a higher proportion of females are annoyed by the

behavior in questionbehavior in question.

Click to select your answer(s).

Answer #1

Researchers wondered if there was a difference between males and
females in regard to some common annoyances. They asked a random
sample of males and females, the following question: "Are you
annoyed by people who repeatedly check their mobile phones while
having an in-person conversation?" Among the
531531
males surveyed,
189189
responded "Yes"; among the
535535
females surveyed,
210210
responded "Yes." Does the evidence suggest a higher proportion
of females are annoyed by this behavior? Complete parts (a)
through (g)...

Researchers wondered if there was a difference between males and
females in regard to some common annoyances. They asked a random
sample of males and females, the following question: "Are you
annoyed by people who repeatedly check their mobile phones while
having an in-person conversation?" Among the 563 males surveyed,
206 responded "Yes"; among the 503 females surveyed, 208
responded "Yes." Does the evidence suggest a higher proportion of
females are annoyed by this behavior? Complete parts (a) through
(g)...

Assume the random variable X is normally distributed with mean
mu?equals=5050 and standard deviation sigma?equals=77. Compute the
probability. Be sure to draw a normal curve with the area
corresponding to the probability shaded. ?P(5757less than or
equals?Xless than or equals?6868?) Which of the following normal
curves corresponds to ?P(5757less than or equals?Xless than or
equals?6868?)? A. 575750506868 A normal curve has a horizontal axis
with three labeled coordinates, 50, 57, and 68. The curve's peak is
near the top of...

When asked whether marriage is becoming obsolete,742 out of 2089
randomly selected adults answering a particular survey said yes. We
are testing the hypothesis that the population proportion that
believes marriage is becoming obsolete is more than 34 % using a
significance level of 0.05. One of the following figures is
correct. Indicate which graph matches the alternative
hypothesis,
p greater than 0.34
.
Report and interpret the correct p-value.
Choose the correct graph below.
A.
A graphing calculator output...

Assume that the random variable X is normally distributed, with
mean mu equals 53 and standard deviation sigma equals 11. Compute
the probability. Be sure to draw a normal curve with the area
corresponding to the probability shaded. Upper P left parenthesis
Upper X less than or equals 40 right parenthesis Which of the
following shaded regions corresponds to Upper P left parenthesis
Upper X less than or equals 40 right parenthesis? A. X 4053 A
normal curve has a...

Assume that the random variable X is normally distributed, with
mean mu equals 53 and standard deviation sigma equals 11. Compute
the probability. Be sure to draw a normal curve with the area
corresponding to the probability shaded. Upper P left parenthesis
Upper X less than or equals 40 right parenthesis Which of the
following shaded regions corresponds to Upper P left parenthesis
Upper X less than or equals 40 right parenthesis? A. X 4053 A
normal curve has a...

Assume the random variable X is normally distributed with
mean
mu equals 50
and standard deviation
sigma equals 7
.
Compute the probability. Be sure to draw a normal curve with the
area corresponding to the probability shaded.
Upper P left parenthesis Upper X greater than 39 right
parenthesis
LOADING...
Click the icon to view a table of areas under the normal
curve.
Which of the following normal curves corresponds to
Upper P left parenthesis Upper X greater than 39...

The lengths of human pregnancies are normally distributed
with
muμequals=266
days and
sigmaσequals=16
days. Complete parts (a) and (b)
below.
(a) The following figure represents the normal curve with
mu equals 266μ=266
days and
sigmaσequals=1616
days. The area to the
leftleft
of
Upper X equals 235X=235
is
0.02630.0263.
Provide an interpretation of this area. Choose the correct answer
below. A.The proportion of human pregnancies that last
lessless
than
235235
days is
0.97370.9737.
B.The proportion of human pregnancies that last
moremore...

An employment information service claims the mean annual salary for
senior level product engineers is
$97 comma 00097,000.
The annual salaries (in dollars) for a random sample of
1616
senior level product engineers are shown in the table to the right.
At
alphaαequals=0.010.01,
test the claim that the mean salary is
$97 comma 00097,000.
Complete parts (a) through (e) below. Assume the population is
normally distributed.
nbsp Bold Annual Salaries nbsp Annual
Salaries
100100
,607607
9696
,370370
9393
,507507
112112...

To test Upper H 0: muequals20 versus Upper H 1: muless
than20, a simple random sample of size nequals17 is obtained from
a population that is known to be normally distributed. Answer
parts (a)-(d). LOADING... Click here to view the t-Distribution
Area in Right Tail. (a) If x overbarequals18.3 and sequals4.5,
compute the test statistic. tequals nothing (Round to two decimal
places as needed.) (b) Draw a t-distribution with the area that
represents the P-value shaded. Which of the following...

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