When testing gas pumps for accuracy, fuelquality enforcement specialists tested

Question

When testing gas pumps for accuracy, fuelquality enforcement specialists tested pumps and found that 1302 of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and 5682 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 Identify the null hypothesis and alternative hypothesis. O B. Ho: p 0.2 O A. Ho: p

Explanation / Answer

A) e) is correct ho: p = 0.2 h1: p < 0.2 B) P-HAT= =(1302)/(1302+5682) P-HAT= 0.186426117 Z = (p - p_hat)/sqrt(p*(1-p)/n) =(0.2-0.1864)/SQRT(0.2*(1-0.2)/(1302+5682)) z= 2.8414 C) P-value = P(z

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