Farrner Carl claims that less than 15% of his corn has worms. In a random sample

Question

Farrner Carl claims that less than 15% of his corn has worms. In a random sample of 80 ears of corn, Carl finds that 6 of them, have worms. Test his claim at the ?-0.05 significance level. 1, (a) (1 point) What hypothesis test should you use for this problem? Circle your answer. Mean-1 Sample Mean-2 Samples, Dependent Mean-2 Samples, Independent Proportion-2 Samples Proportion-1 Sample b) (1 point) What calculator function will you use? (c) (2 points)Determine the null and alternative hypotheses: Ho : (d) (2 points) Perform the hypothesis test. P-value: Conclusion: (e) (2 points) If the significance level is a0.01, is your conclusion different? Why or why not?

Explanation / Answer

a)

proportion 1 sample

c)

H0 : p = 0.15
H1 : p < 0.15

d)

P = 6/80 = 0.075

z = ( p - p)/sqrt(p *(1-p)/n))
= ( 0.075 - 00.15)/sqrt(0.15 *(1-0.15)/80))
= -1.8787

p value = 0.0301

Conclusion :
Reject The null hypothesis

e)
Do Reject The null hypothesis,because p value is not less than alpha

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