p-value-ex-3123

p-value-ex-3123 - 6) H a : > 240 versus H o :...

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Observed Significance Level (P-value) The observed significance level ,o r P-value , for a specific statistical test is the probability (assuming the null hypothesis is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis, and supportive of the alternative hypothesis as the actual one computed from the sample data. P-value Calculation Exercises For each test of hypothesis, compute the p-value. Sketch a figure. 1) H a : µ > 240 versus H o : µ < 240 I fn=8 5a n dz= 2.35, find the p-value of z = 2.35. 2) H a : µ < 100 versus H o : µ > 100 If n = 150 and z = -2.78, find the p-value of z = -2.78. 3) H a : µ =/ 75 versus H o : µ =7 5 I fn=6 2a n dz= -2.23, find the p-value of z = -2.23 4) H a : µ < 100 versus H o : µ > 100 I fn=2 0a n
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Unformatted text preview: 6) H a : &gt; 240 versus H o : &lt; 240 If n = 18 and t = 2.354, find the p-value of t = 2.354. Decision Criterion for a Hypothesis Test Using the P-value: If the P-value is less than , reject the null hypothesis; otherwise, fail to reject the null hypothesis. Example: H a : =/ 30 H o : = 30 Assumptions: Since n &gt; 30, the sampling distribution of x is approximately normally distributed. Test Statistic: If is not known, use s for . = .05 RR: p-value &lt; .05 Calculation: z = -1.54 P-value = 2P(z &gt; z calculated ) = 2P(z &gt; 1.54) = 2P(z &lt; -1.54) = 2(.5 - .4382) = 2(.0618) = .1236 Decision: Fail to reject H o . Conclusion: The data do not provide enough evidence to conclude that the populations mean differs from 30....
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p-value-ex-3123 - 6) H a : &amp;amp;gt; 240 versus H o :...

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