FIND P VALUE QUESTION -- Resistors labeled as 100 are purchased from two differe

Question

FIND P VALUE QUESTION -- Resistors labeled as 100 are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made.

Find the P-value. Round the answer to four decimal places.

Explanation / Answer

The statistical software output for this problem is:

Hg
Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 < 0

Hypothesis test results:

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value
p1 - p2 149 180 233 270 -0.035185185 0.034463688 -1.020935 0.1536

Hence,

P - Value = 0.1536

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