Question 868506: According to the College Research Center, the proportion of college students who use only a cellular telephone (no land line) is 76%. Considering this, your instructor surveyed his students to see how they compared.
From 359 college students surveyed, he found that 262 of them only used a cellular telephone. Consequently, your instructor claims that his college students are different from other college students.
Test your instructor's claim at a level of significance of 10% using the P-Value Method:
The following parts break down the four steps of the P-Value Method, which you will use for the hypothesis test in this problem:
A) State the Hypotheses
B) Determine the Test Statistic.
C) Determine the P-Value.
D) State the conclusion. It should be in terms of the problem (give me more than just Reject Ho or Do Not Reject Ho).
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website! Ho: u = .76 (claim)
Ha: u < .76
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sample mean:: .73
s = .4439
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t(.73) = (.73-.76)/[.4439/sqrt(359)] = -.03/.0234 = -1.2821
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P(t <-1.2821) = .1003 0r 10.03%
As the p-value is not less than 10%, fail to reject Ho.
The claim is reasonable at the 10% confidence level
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