SOLUTION: is known that 40% of adult possess education paper qualifications but among a random sample of 200 textile workers only 59 do so. Have we reason to believe that the proportion in t

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Question 1183158: is known that 40% of adult possess education paper qualifications but among a random sample of 200 textile workers only 59 do so. Have we reason to believe that the proportion in this occupational group is less than that of adults as a whole? To test this hypothesis the p value is equal to
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
H%5B0%5D%3A+p+=+0.40
H%5B1%5D%3A+p+%3C+0.40
From the data given, p%5B1%5D+=+59%2F200+=+0.295and n = 200.
The value of the z-statistic is .
Now P%28Z%3C+-3.031%29+=+0.001 from https://stattrek.com/online-calculator/normal.aspx,
and since the rejection region is on the far left side of the normal dist'n, the p-value is also 0.001.