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In many parliamentary procedures, a supermajority is
Chapter 6, Problem 5CT(choose chapter or problem)
In many parliamentary procedures, a supermajority is defined as an excess of 60% of voting members. In a poll conducted by the Gallup organization on May 10, 1939, 1561 adult Americans were asked, “Do you think the United States will have to fight Japan within your lifetime?” Of the 1561 respondents, 954 said no. Does this constitute sufficient evidence that a supermajority of Americans did not feel the United States would have to fight Japan within their lifetimes?
Questions & Answers
QUESTION:
In many parliamentary procedures, a supermajority is defined as an excess of 60% of voting members. In a poll conducted by the Gallup organization on May 10, 1939, 1561 adult Americans were asked, “Do you think the United States will have to fight Japan within your lifetime?” Of the 1561 respondents, 954 said no. Does this constitute sufficient evidence that a supermajority of Americans did not feel the United States would have to fight Japan within their lifetimes?
ANSWER:Answer :
Step 1:
Let p be the population proportion of supermajority of american did not feel that the united states would have to fight japan within their lifetime, is the corresponding sample proportion.
From the given information
n = 1561 , x = 954 ,
The sample proportion
= = 0.61
Therefore the sample proportion is = 0.61.
Now , n(1 -
) = 1561*0.6(1 - 0.6) = 374.64 > 10, assume that the sample is less than 5% of the population. Therefore the sampling distribution of
is approximately normal.