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The reliability of two types of machines used in the same manufacturing process is to be tested. The first machine failed to operate correctly in 90 out of 300 trials while the second type failed to operate correctly in 50 out of 250 trials.
a.Give a point estimate for the difference between the population proportions of these machines.
b.Calculate the pooled estimate of the population proportion.
c.Carry out a hypothesis test to check whether there is a statistically significant difference in the reliability for the two types of machines using a .10 level of significance.
Median
A statistical measure denoting the middle value in a data set, where half the numbers are above and half below.
Mean
A statistical measure that calculates the average value of a set of numbers by adding all the numbers together and dividing by the count of those numbers.
Mode
The value that appears most frequently in a given set of data.
Median
The middle value in a data set, which separates the higher half from the lower half.
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