In a Pew Research poll, 287 out of 522 randomly selected U.S. men were able to identify Egypt when it was highlighted on a map of the Middle East. When 520 randomly selected U.S. women were asked, 233 were able to do so. Let PM - the true proportion of men who can identify Egypt on a map and pw - the true proportion of women who can identify Egypt on a map. We are 95% confident that the interval from 0.042 to 0.160 captures PM - Pw-the true difference in the proportions of men and women who can identify Egypt on a map. Does this interval give convincing evidence of a difference between the population proportions? Justify your answer. O No. Because the conditions were not met, we cannot use this interval to conclude that there is convincing evidence that the true proportion of men who can identify Egypt on the map is different from the true proportion of women that can identify Egypt on a map. O Yes. Because the interval does not contain negative numbers, there is convincing evidence that the true proportion of men who can identify Egypt on the map is different than the true proportion of women that can identify Egypt on a map. O Yes. Because the interval does not contain 0, there is convincing evidence that the true proportion of men who can identify Egypt on the map is different than the true poonortion ef women that can identify Egypt on a map. O No. Because the interval does not contain negative numbers, there is not convincing evidence that the true proportion of men who can identify Egypt on the map is different than the true proportion of women that can identify Egypt on a map. O No. Because the interval does not contain 0, there is not convincing evidence that the true proportion of men who can identify Egypt on the map is different than the true proportion of women that can identify Egypt on a map.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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In a Pew Research poll, 287 out of 522 randomly selected U.S. men were able to identify Egypt when it was highlighted on a map of the Middle East. When 520
randomly selected U.S. women were asked, 233 were able to do so. Let PM - the true proportion of men who can identify Egypt on a map and pw = the true
proportion of wornen who can identify Egypt on a map. We are 95% confident that the interval from 0.042 to 0.160 captures PM - pPw the true difference in the
proportions of men and women who can identify Egypt on a map.
Does this interval give convincing evidence of a difference between the population proportions? Justify your answer.
O No. Because the conditions were not met, we cannot use this interval to conclude that there is convincing evidence that the true proportion of men who can identify Egypt on the
map is different from the true proportion of women that can identify Egypt on a map.
O Yes BecaUSe the interval does not contain negative numbers, there is convíncing evidence that the true proportion of men who can identify Egypt on the map is different than the
true proportion of women that can identify Egypt on a map.
Ver Berause the interval does not contain 0, there is convincing evidence that the true proportion of men who can identify Egypt on the map is different than the true pronartion of
women that can identify Egypt on a map.
Daae the interval does not contain negative numbers, there is not convincing evidence that the true proportion of men who can identify Egypt on the map is different than the
true proportion of women that can identify Egypt on a map.
of women that can identify Egypt on a map.
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Step 1

Given:

95% confident interval for difference in the proportions is from 0.042 to 0.160.

Interpretation of confident interval for difference in the proportions:

If the confidence interval contains 0, then there is no significant difference in the true proportion. If it does not contains 0, then there is a significant difference in the true proportion.

Explanation:

The given confidence interval does not contain 0, which indicates a significant difference in the true proportion.

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