Question

Match the formula of the test statistic to each scenario:

A pollster is interested to find if the proportion of female voters and male voters who support Smith is the same. He polls 860 voters who indicated they intend to vote for Smith. Claim: the proportion of males who support smith and females who support Smither are the same. An election for a Senate seat has two candidates; Smith and Jones.     A pollster is interested in determining the proportion of eligible voters who will vote for Smith. A poll of 800 voters is taken. Claim: More than 50% of voters support Smith in the election. An upcoming election for a Senate Seat has two candidates; Smith and Jones. A pollster is interested in the average age of people planning to vote in the election. A poll of 800 voters who indicate that they to vote is taken and their age is found. Claim: The average age of voters in the upcoming election is greater than 40. A pollster believes that the average age of Smith supporters is older than the average age of Jones voters. He collects data from 800 voters. Claim: the average age of Smith voters is greater than the average age of Jones voters. A researcher is interested in the optimism of voters whose candidate wins the election. The researcher gives voters a survey that rates their optimism on a scale from 0 to 80 prior to the election and then after the election. He finds the change in optimism for each voter. He then takes the surveys for only those voters who voted for Jones, the eventual winner of the election. Claim: The optimism for voters who voted for Jones increased by twenty points after Jones won the election.

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Answer 1