SOLUTION: Calculate the p-value of the test to determine that there is sufficient evidence to infer each research objective. Research objective: The population mean is greater than 0. σ

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Question 1196805: Calculate the p-value of the test to determine that there is sufficient evidence to infer each research objective.
Research objective: The population mean is greater than 0.
σ=10, n=100, x-bar= 1.5
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi  
Calculate the p-value of the test to determine that there is sufficient evidence to infer u > 0 
 
n= 100,  x̄ = 1.5  
Ho: u ≤ 0        Note:  Ho MUST contain equality:: = or ≤ or  ≥  
Ha: u > 0  claim
generally a 95% confidence level is used.  alpha = 0.05
 t+=blue+%28x+-+mu%29%2Fblue%28sigma%2Fsqrt%28n%29%29 
 t+=blue+%281.5+-+0%29%2Fblue%2810%2Fsqrt%28100%29%29 = 1.5
    p(1.5) = normalpdf(1.5)= .13   Using Calculator
  .13 > .05  Fail to Reject Ho
(Note:  If the p-value is greater than alpha = 0.05, so we fail to reject the null hypothesis)
That is: There is NOT sufficient evidence, at the 0.05 level of significance, to support a claim that u > 0