1. An independent research group performed a study to determine whether younger voters would be in favor of a new city tax to support urban rail expansion. The research group started a computer generated list of all registered voters in Austin ages 18-35. To ensure men and women were equally represented in their study, the researchers then selected 40 men and 40 women at random from the list. The people selected were asked whether or not they support the new city tax for urban rail expansion. The research group reported the following results for their study: “51% of voters ages 18-35 support the new city tax, plus or minus 3 percentage points.” What type of sampling was done by the group? ____________________________________________ Was this an observational study or an experiment? Explain how you know. Identify the population, sample, parameter, and statistic. Population: _________________________________________________________________________ Sample: ____________________________________________________________________________ Parameter: _________________________________________________________________________ Statistic: ___________________________________________________________________________ Find the confidence interval for the percent of younger voters who support the tax. Is it likely that younger voters in Austin will vote for the tax in the upcoming election? Can we tell? Explain. (Use your confidence interval from above.)
1. An independent research group performed a study to determine whether younger voters would be in favor of a new city tax to support urban rail expansion. The research group started a computer generated list of all registered voters in Austin ages 18-35. To ensure men and women were equally represented in their study, the researchers then selected 40 men and 40 women at random from the list. The people selected were asked whether or not they support the new city tax for urban rail expansion. The research group reported the following results for their study:
“51% of voters ages 18-35 support the new city tax, plus or minus 3 percentage points.”
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What type of sampling was done by the group? ____________________________________________
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Was this an observational study or an experiment? Explain how you know.
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Identify the population, sample, parameter, and statistic.
Population: _________________________________________________________________________ Sample: ____________________________________________________________________________ Parameter: _________________________________________________________________________ Statistic: ___________________________________________________________________________ -
Find the confidence interval for the percent of younger voters who support the tax.
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Is it likely that younger voters in Austin will vote for the tax in the upcoming election? Can we tell? Explain. (Use your confidence interval from above.)
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