Testing of hypothesis problems 1 According to Giving and Volunteering in the United States, 2001 Edi

Testing of hypothesis problems

1 According to Giving and
Volunteering in the United States, 2001 Edition, the mean charitable
contribution per household in the United States in 2000 was $1623 A researcher
claims that the level of giving has changed since then State the null and alternative
hypotheses using correct symbols

2 With regard to question 1,
explain what it would mean to make a Type I error

3 The mean score on the SAT Math
Reasoning exam is 518 A test preparation company claims that the mean score of
students who take its course are higher than the mean of 518 Suppose sample
data indicate that the null hypothesis should not be rejected State the
conclusion of the company

4 An energy official claims that
the oil output per well in the United States has declined from the 1998 level
of 111 barrels per day He randomly samples 50 wells throughout the United
States and determines the mean output to be 107 barrels per day Assume that
barrels Test the researcher’s claim at the level of significance

5 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

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