It is claimed that 65% of Boston residents have considered moving to a warmer climate. A group of city council members is hoping that the actual figure is lower than that, and wish to conduct a hypothesis test at the

=

0.01

=0.01

level of significance to determine if they are right.

Which would be correct hypotheses for this test?

• H
• 0
• :
• p
• 0.65
• H0:p0.65
• ,H
• 1
• :
• p
• =
• 0.65
• H1:p=0.65
• H
• 0
• :
• p
• =
• 0.65
• H0:p=0.65
• ,H
• 1
• :
• p
• <
• 0.65
• H1:p<0.65
• H
• 0
• :
• p
• =
• 0.65
• H0:p=0.65
• ,H
• 1
• :
• p
• >
• 0.65
• H1:p>0.65
• H
• 0
• :
• p
• <
• 0.65
• H0:p<0.65
• ,H
• 1
• :
• p
• =
• 0.65
• H1:p=0.65
• H
• 0
• :
• p
• =
• 0.65
• H0:p=0.65
• ,H
• 1
• :
• p
• 0.65
• H1:p0.65

In a survey done in Boston last winter, 228 out of a random sample of 400 residents stated that they have considered moving to a warmer climate. Find the test statistic(Round to 2 decimals):

Give the P-value(Round to 4 decimals - if less than 0.001 give answer as 0):

Which is the correct result:

• Do not Reject the Null Hypothesis
• Reject the Null Hypothesis

What is the appropriate conclusion?