of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 343 of 900 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years​ ago? Use the α=0.01

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Twenty years​ ago,
52​%
of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that
343
of
900
parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years​ ago? Use the
α=0.01
level of significance.
Because
np01−p0=
 
 
equals=
greater than>
less than<
not equals≠
​10,
the sample size is
   
​5% of the population​ size, and the sample
   
the requirements for testing the hypothesis
   
satisfied.
​(Round to one decimal place as​ needed.)
What are the null and alternative​ hypotheses?
 
H0​:
 
muμ
pp
sigmaσ
 
less than<
greater than>
not equals≠
equals=
 
versus
H1​:
 
sigmaσ
muμ
pp
 
equals=
less than<
not equals≠
greater than>
 
​(Type integers or decimals. Do not​ round.)
Find the test statistic.
 
z0=
 
​(Round to two decimal places as​ needed.)
Find the​ P-value.
 
​P-value=
 
​(Round to three decimal places as​ needed.)
Determine the conclusion for this hypothesis test. Choose the correct answer below.
 
 
A.
Since
​P-value<α​,
reject
the null hypothesis and conclude that there
is
sufficient evidence that parents feel differently today.
 
B.
Since
​P-value>α​,
do not reject
the null hypothesis and conclude that there
is not
sufficient evidence that parents feel differently today.
 
C.
Since
​P-value>α​,
reject
the null hypothesis and conclude that there
is not
sufficient evidence that parents feel differently today.
 
D.
Since
​P-value<α​,
do not reject
the null hypothesis and conclude that there
is
sufficient evidence that parents feel differently today.
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