SOLUTION: A consumer group claims that less than 25% (.25) of all the kindergarteners in Texas favor pancakes as their breakfast food. A survey of 700 kindergarteners in Texas revealed that

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Question 984301: A consumer group claims that less than 25% (.25) of all the kindergarteners in Texas favor pancakes as their breakfast food. A survey of 700 kindergarteners in Texas revealed that 160 favor pancakes as their breakfast food. The survey result is to be used to test the claim with 5% (.05) level of significance. Compute the z-value of the test statistic
Answer by Boreal(15235) About Me  (Show Source):
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The test statistic for this one sample proportion test is
z=(pfound-ppostulated)/sqrt[{(.25)(.75)/700}]
=(16/70)-0.25/sqrt[{(.25)(.75)/700}]
=-0.02142/0.01637
=-1.3093. this is the ANSWER.
This is a one-tail test.
The p-value for this =0.0952
Fail to reject Ho--insufficient evidence to reject the null hypothesis.