Homework SourseIn 1997 11 of adult Americans had no faith that the federal
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.
Solution
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
