Corn: In a random sample of 140 ears of corn, farmer Carl finds that 18 of...
Corn: In a random sample of 140 ears of corn, farmer Carl finds that 18 of them have worms. Carl claims that less than 20% of all his corn has worms. Test this claim at the 0.01 significance level.
(a) What is the sample proportion of corn with worms? Round your answer to 3 decimal places.
(b) What is the test statistic? Round your answer to 2 decimal places.
(c) What is the P-value of the test statistic? Round your answer to 4 decimal places.
(d) What is the conclusion regarding the null hypothesis? reject H0 fail to reject H0
(e) Choose the appropriate concluding statement.
a. The data supports the claim that less than 20% of Carl's corn has worms.
b. There is not enough data to support the claim that less than 20% of Carl's corn has worms.
c. We reject the claim that less than 20% of Carl's corn has worms.
d. We have proven that less than 20% of Carl's corn has worms.
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Corn: In a random sample of 140 ears of corn, farmer Carl finds
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Corn: In a prior sample of corn, farmer Carl finds that 16% of the sample has worms but the margin of error for his population estimate was too large. He wants an estimate that is in error by no more than 2.5 percentage points at the 95% confidence level. Enter your answers as whole numbers. (a) What is the minimum sample size required to obtain this type of accuracy? Use his prior sample proportion in your calculation. The minimum sample...
In a prior sample of corn, farmer Carl finds that 16% of the sample has worms...
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Round your answer to 3 decimal places.
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