Suppose in a sample of 400 apples  79 are damaged  You want to test the claim the proportion that are damaged  is less  than 20%.  Hint There is strong evidence against H0 if the p-value is less than 0.05, alternatively there is strong evidence against H0 if the test stat is less than  -1.645.  Which option is the correct hypothesis test.  Select one: a. H0: p= 0.8,  H1 p> 0.8, standard error =10, test stat =0.5, p-value = 0.3084,  reject H0 because there is  strong evidence the proprotion is above 80%  b. H0: p= 0.2,  H1 p <  0.2, standard error =0.02  test stat =-0.125, p-value = 0.4503, do not reject H0 because there is not strong evidence the proprotion is less than 20%  c. H0: p> 0.8  H1 p =0.8, test stat =-20 , p-value = 0.3084, do not reject H0 because there is  strong evidence the proprotion is above 80%  d. H0: =0.2,  H1: < 0.2 , test stat =2.3, p-value = 0.01, do not reject H0 because there is not strong evidence the proprotion is above 80%

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose in a sample of 400 apples  79 are damaged  You want to test the claim the proportion that are damaged  is less  than 20%. 

Hint There is strong evidence against H0 if the p-value is less than 0.05, alternatively there is strong evidence against H0 if the test stat is less than  -1.645. 

Which option is the correct hypothesis test. 

Select one:
a.

H0: p= 0.8,  H1 p> 0.8, standard error =10, test stat =0.5, p-value = 0.3084,  reject H0 because there is  strong evidence the proprotion is above 80% 

b.

H0: p= 0.2,  H1 p <  0.2, standard error =0.02  test stat =-0.125, p-value = 0.4503, do not reject H0 because there is not strong evidence the proprotion is less than 20% 

c.

H0: p> 0.8  H1 p =0.8, test stat =-20 , p-value = 0.3084, do not reject H0 because there is  strong evidence the proprotion is above 80% 

d.

H0: =0.2,  H1: < 0.2 , test stat =2.3, p-value = 0.01, do not reject H0 because there is not strong evidence the proprotion is above 80% 

 

Expert Solution
Step 1

Givensample size(n)=400x=79p^=xn=79400=0.1975significance level(α)=0.05

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