a) For the first poll, one thousand randomly chosen people were in- terviewed and 368 of them said they intended to support the party. Calculate an approximate 95% confidence interval for the popula- tion proportion supporting the party. Give your answer to 3 deci- mal places. b) The result of the second poll was reported in a newspaper. The report said that support for the party was "between 33% and 37%, based on a sample of 3774 people". If we express this information as an approximate k% confidence interval, calculate the value of k (to the nearest integer).

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Two opinion polls, seeking information about the proportion of voters
supporting a certain political party, were carried out.
a) For the first poll, one thousand randomly chosen people were in-
terviewed and 368 of them said they intended to support the party.
Calculate an approximate 95% confidence interval for the popula-
tion proportion supporting the party. Give your answer to 3 deci-
mal places.
b) The result of the second poll was reported in a newspaper. The
report said that support for the party was
"between 33% and 37%,
based on a sample of 3774 people".
If we express this information as an approximate k% confidence
interval, calculate the value of k (to the nearest integer).
Transcribed Image Text:Two opinion polls, seeking information about the proportion of voters supporting a certain political party, were carried out. a) For the first poll, one thousand randomly chosen people were in- terviewed and 368 of them said they intended to support the party. Calculate an approximate 95% confidence interval for the popula- tion proportion supporting the party. Give your answer to 3 deci- mal places. b) The result of the second poll was reported in a newspaper. The report said that support for the party was "between 33% and 37%, based on a sample of 3774 people". If we express this information as an approximate k% confidence interval, calculate the value of k (to the nearest integer).
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