Large Sample Proportion Problem. Surveys were conducted in multiple countries and respondents were asked if they...

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Large Sample Proportion Problem. Surveys were conducted in multiple countries and respondents were asked if they felt politic

math Statistics-And-Probability

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Answer 1

Answer #1

Solution:

Given:

Sample size = n = 1000

x = Number of respondents felt political news was reported fairly = 470

Level of significance = 0.01

We have to find critical value.

Since we have to test the proportion of US is below 0.50, thus this is left tailed test.

Thus look in z table for area = 0.0100 or its closest area and find z value.

.00 .01 .02 .03 .04 .05 .06 .07 .08 .09 Z ob03 .0 04 .0006 .0009 .0012 .00 7 003 .00 2 .0에3 .007 -3.4 .0003 .0003 .0003 .0003

Area 0.0099 is closest to 0.0100 and it corresponds to -2.3 and 0.03

thus z critical value = -2.33

Thus correct answer is: -2.33

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Answer 2

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