Question: A manufacturer reported that 95% of electronic components manufactured by them are free from defects. From a random sample of 80 components, 5 had defects. Find the p -value for the test. Is there enough evidence to reject the manufacturer's report at α = 0.01? A ) 0.305; yes B ) 0.61; yes C ) 0.305; no D ) 0.61; no Steps to derive 1 H0 : p = 0.95 and H1 : p ≠ 0.95 [Null and Alternate Hypotheses.]2 Sample proportion, p ˆ = 75 80 = 0.93753 The test value, z = p ˆ - p p ( 1 - p ) n , where p is the population proportion and n the sample size.4 z = 0 . 9 3 7 5 - 0 . 9 5 ( 0 . 9 5 ) ( 0 . 0 5 ) 8 0 = - 0.51 [Substitute the values and simplify.]5 Area under the standard normal distribution curve for z = - 0.51 is 0.1950. That is P(- 0.51 < z < 0) = 0.1950 [Use the standard normal distribution table.]6 P-value for a two tailed test = 2 × P(z < - 0.51)6 = 2(0.5000 - 0.1950) = 0.617 The P-value 0.61 > 0.01, do not reject the null hypothesis.8 So, there is not enough evidence to reject the manufacturer's report that 95% of electronic components have no defects.Hence the right answer is Option D Click Here To Go Back Few Other Questions - Anna has different colors of ribbons. The lengths of the ribbons are shown in the table.Co.. The table shows the temperatures in four different cities.CityCity - ACity - BCity - CCity.. Barbara filled 10 cups with apple juice. Each cup was filled with 300 milliliters of juice.. Find the GCF of 45 and 42... Charlie rolls a number cube. What is the probability of not getting an even number?.. Charlie has a bag containing three English, two math, and three science books. If Charlie.. Identify the proportional relationship for the data shown in the table.Time (t)5 min7 min8.. 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