A recent survey conducted by the Country Financial Security Index asked adults 18 and older if they felt that next year will be financially better for them. Thirty percent of the respondents answered "Yes". To verify these findings, a random sample of 250 adults was asked the same question. A total of 55 adults from this sample responded "Yes". Which of the following statements is correct?
A) The interval that contains 95% of the sample proportions is 0.243 and 0.357. Because the sample proportion is between these two values, we have support for the results of the Country Financial Security Index survey.
B) The interval that contains 95% of the sample proportions is 0.243 and 0.357. Because the sample proportion is not between these two values, we do not have support for the results of the Country Financial Security Index survey.
C) The interval that contains 95% of the sample proportions is 0.205 and 0.395. Because the sample proportion is not between these two values, we do not have support for the results of the Country Financial Security Index survey.
D) The interval that contains 95% of the sample proportions is 0.205 and 0.395. Because the sample proportion is between these two values, we have support for the results of the Country Financial Security Index survey.
Correct Answer:
Verified
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