In 1997, 11% of adult Americans had no faith that the federal government was cap

Question

In 1997, 11% of adult Americans had no faith that the federal government was capable of effectively dealing with domestic problems. In a survey conducted during September 2007 by the Gallup Organization of 1,100 adult Americans, 143 had no faith that the federal government was capable of effectively dealing with domestic problems. Judge whether the proportion has changed since 1997. Use a 10% level of significance. In 1997, 11% of adult Americans had no faith that the federal government was capable of effectively dealing with domestic problems. In a survey conducted during September 2007 by the Gallup Organization of 1,100 adult Americans, 143 had no faith that the federal government was capable of effectively dealing with domestic problems. Judge whether the proportion has changed since 1997. Use a 10% level of significance. In 1997, 11% of adult Americans had no faith that the federal government was capable of effectively dealing with domestic problems. In a survey conducted during September 2007 by the Gallup Organization of 1,100 adult Americans, 143 had no faith that the federal government was capable of effectively dealing with domestic problems. Judge whether the proportion has changed since 1997. Use a 10% level of significance. In 1997, 11% of adult Americans had no faith that the federal government was capable of effectively dealing with domestic problems. In a survey conducted during September 2007 by the Gallup Organization of 1,100 adult Americans, 143 had no faith that the federal government was capable of effectively dealing with domestic problems. Judge whether the proportion has changed since 1997. Use a 10% level of significance.

Explanation / Answer

H0: MEAN=11%

H1 ,MEAN NOT EQUAL TO 11%

z=(143((143/1100)-0.11))/sqrt(957*143/1100)

=0.2

z(.95)=1.64

so we ffail to reject null hypoothesis

hencethe proportion has not changed since 1997

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