A survey was conducted of newlyweds in a country who have a spouse of a different race or ethnicity from their own. The survey included random samples of 1000 newlyweds in Ethnicity A and 1000 newlyweds in Ethnicity B. In the survey, 14% of respondents in Ethnicity A and 23% of respondents in Ethnicity B had a spouse of a different race or ethnicity from their own. At alphaαequals=0.01, is there evidence to support the claim that the proportion of newlyweds in Ethnicity A who have a spouse of a different race or ethnicity from their own is less than the proportion of newlyweds in Ethnicity B that have a spouse of a different race or ethnicity from their own? Let p 1 represent the proportion of newlyweds in Ethnicity A who have a spouse of a different race or ethnicity from their own. Let p 2 represent the proportion of newlyweds in Ethnicity B that have a spouse of a different race or ethnicity from their own. State the null and alternative hypotheses. A. Upper H 0H0: p 1>p 2 Upper H Subscript aHa: p 1≤p 2 B. Upper H 0H0: p 1≠p 2 Upper H Subscript aHa: p 1p=p 2 C. Upper H 0H0: p 1≥p 2 Upper H Subscript aHa: p 1p 2 Calculate the standardized test statistic. zequals=nothing (Round to two decimal places as needed.) Calculate the P-value. Pequals=nothing (Round to three decimal places as needed.) State the conclusion of the hypothesis test. Since P ▼ greater than> less than< alphaα, ▼ reject fail to reject fail to reject Upper H 0H0. There ▼ is not is evidence to support the claim that the proportion of newlyweds in ▼ Ethnicity B Ethnicity A who have a spouse of a different race or ethnicity from their own is less than the proportion of newlyweds in ▼ Ethnicity A Ethnicity B that have a spouse of a different race or ethnicity from their own. Click to select your answer(s).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A survey was conducted of newlyweds in a country who have a spouse of a different race or ethnicity from their own. The survey included random samples of

1000

newlyweds in Ethnicity A and

1000

newlyweds in Ethnicity B. In the survey,

14%

of respondents in Ethnicity A and

23%

of respondents in Ethnicity B had a spouse of a different race or ethnicity from their own. At

alphaαequals=0.01,

is there evidence to support the claim that the proportion of newlyweds in Ethnicity A who have a spouse of a different race or ethnicity from their own is less than the proportion of newlyweds in Ethnicity B that have a spouse of a different race or ethnicity from their own?

Let

p 1

represent the proportion of newlyweds in Ethnicity A who have a spouse of a different race or ethnicity from their own. Let

p 2

represent the proportion of newlyweds in Ethnicity B that have a spouse of a different race or ethnicity from their own. State the null and alternative hypotheses.

Upper H 0H0:

p 1>p 2

Upper H Subscript aHa:

p 1≤p 2

Upper H 0H0:

p 1≠p 2

Upper H Subscript aHa:

p 1p=p 2

Upper H 0H0:

p 1≥p 2

Upper H Subscript aHa:

p 1<p 2

Upper H 0H0:

p 1<p 2

Upper H Subscript aHa:

p 1≥p 2

Upper H 0H0:

p 1=p 2

Upper H Subscript aHa:

p 1≠p 2

Upper H 0H0:

p 1≤p 2

Upper H Subscript aHa:

p 1>p 2

Calculate the standardized test statistic.

zequals=nothing

(Round to two decimal places as needed.)

Calculate the P-value.

Pequals=nothing

(Round to three decimal places as needed.)

State the conclusion of the hypothesis test.

Since

▼

greater than>

less than<

alphaα,

▼

reject

fail to reject fail to reject

Upper H 0H0.

There

▼

is not

evidence to support the claim that the proportion of newlyweds in

▼

Ethnicity B

Ethnicity A

who have a spouse of a different race or ethnicity from their own is less than the proportion of newlyweds in

▼

Ethnicity A

Ethnicity B

that have a spouse of a different race or ethnicity from their own.

Click to select your answer(s).

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