When testing gas pumps lot accuracy, fuel-quality enforcement specialists tested

Question

When testing gas pumps lot accuracy, fuel-quality enforcement specialists tested pumps and found that 1345 of them were not pumping accurately (within 33 oz when 5 gal is pumped), and 5650 pumps were accurate. Use a 0 01 significance level to test the claim of an industry representative that less than 20% of the pump 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. A. H_0: p = 0.2 H_1: p > 0.2 B. H_0: P > 0.2 H_1: P = 0.2 C. H_0: P notequalto 0.2 H_1: p = 0.2 D. H_0: p = 0.2 H_1: p

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.2
HA : p < 0.2

Hypothesis test results:

Hence,

z = -1.6141

p - Value = 0.0532

Since p - value is greater than 0.01, do not reject Ho. Hence,

We have insuffcient evidence to conclude that less than 20% of the pumps are inaccurate.

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 1345 6995 0.1922802 0.0047826228 -1.6141352 0.0532

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