A poll wishes to determine how many Americans agree with the policies of the current president. Pollsters contact 5,000 voters and ask the question: "Do you approve of the president's policies?" The poll produces 1,789 yes answers and 3,211 no answers.
1) Decide if p or p-hat is the appropriate statistic to use. (NOT part of your response)
2) Find the value of the appropriate statistic. (This value IS your response)
A poll wishes to determine how many seniors agree with the late work policy. Administration contacted the 212 semiors and asked the question: "Do you approve of the current late work policy?" The poll produces 165 yes answers and 47 no answers.
1) Decide if p or p-hat is the appropriate statistic to use. (NOT part of your response)
2) Find the value of the appropriate statistic. (This value IS your response)
1) For the first question, the appropriate statistic to use is "p-hat" since we are calculating the proportion of Americans who agree with the policies of the current president.
2) To find the value of p-hat, we divide the number of yes answers (1,789) by the total number of respondents (5,000):
p-hat = 1,789 / 5,000
The value of the appropriate statistic is p-hat = 0.3578 (rounded to four decimal places).
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1) For the second question, the appropriate statistic to use is also "p-hat" since we are calculating the proportion of seniors who agree with the current late work policy.
2) To find the value of p-hat, we divide the number of yes answers (165) by the total number of respondents (212):
p-hat = 165 / 212
The value of the appropriate statistic is p-hat = 0.7783 (rounded to four decimal places).