Finding p-value?

i have a math test coming up in 2 weeks and im having trouble figuring this stuff out...tutoring hasnt been much help...please help me..











Suppose you are using alpha = 0.05 to test the claim that mu %26gt; 9 using a P-value. You are given the sample statistics n = 50, overbar(x) = 9.3, and s = 1.2. Find the P-value.








a 0.0384


b 0.1321


c 0.0012


d 0.0128

Finding p-value?
ANSWER "a 0.0384"








METHODOLOGY


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7 - Step Procedure for t Distributions, "one-tailed test"





1. Parameter of interest: "μ" = population mean








2. Null hypothesis Ho: μ %26gt; 9








3. Alternative hypothesis Ha: μ =%26lt; 9








4. Test statistic formula: t = (x-bar - μ)/(s/SQRT(n))





x-bar = estimate of the Population Mean (statistical mean of the sample) [9.3]


n=number of individuals in the sample [50]


s=standard deviation [1.2]


μ=Population Mean [9]








5. Computation of Test statistic formula t = 1.8 (approx)








6. Determination of the P-value: The test is based on n -1 = 49 df (degrees of freedom). Table "look-up" value shows area under the 49 df curve to the right of t = 1.8 is (approximately) 0.039.








7. Conclusion: with significance value α = 0.05 the above shows P-value %26lt;= α, [0.039 %26lt;= 0.05] so we reject Null hypothesis Ho: μ %26gt;9 and accept Alternative hypothesis Ha: μ %26lt;=9

statice