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When testing gas pumps for​ accuracy, fuel-quality enforcement specialists tested pumps and found that 1280 of...

When testing gas pumps for​ accuracy, fuel-quality enforcement specialists tested pumps and found that 1280 of them were not pumping accurately​ (within 3.3 oz when 5 gal is​ pumped), and 5692 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than​ 20% of the pumps are inaccurate. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution.

a. What is the hypothesis test to be​ conducted?

b. What is the test​ statistic?

z = ___

c. What is the​ P-value?

d. What is the conclusion about the null​ hypothesis?

e. What is the final​ conclusion?

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