An automobile owner found that 20 years ago, 70% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much less than 70% today. He selected a random sample of 50 Americans and found that 32 said that they would prefer an American automobile. Can it be concluded that the percentage today is less than 70%? At α=0.01α=0.01 , is he correct? 1) State the null and alternative hypotheses. A) p=0.70p=0.70     B) p<0.70p<0.70         C) p≠0.70p≠0.70         D) p>0.70p>0.70    Answer A, B, C, or D in the box Ho:  H1:  2) Compute test statistics. Round the answer to two decimal place. Test statistics =  3) Compute the P value. Round your answer to four decimal places. P value =

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An automobile owner found that 20 years ago, 70% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much less than 70% today. He selected a random sample of 50 Americans and found that 32 said that they would prefer an American automobile. Can it be concluded that the percentage today is less than 70%? At α=0.01α=0.01 , is he correct?

1) State the null and alternative hypotheses.

A) p=0.70p=0.70     B) p<0.70p<0.70         C) p≠0.70p≠0.70         D) p>0.70p>0.70 

 

Answer A, B, C, or D in the box

Ho: 

H1: 

2) Compute test statistics. Round the answer to two decimal place.

Test statistics = 

3) Compute the P value. Round your answer to four decimal places.

P value = 

4) Compute the critical value. Round your answer to two decimal places. 

 Critical Value = 

5) Decision

E) Reject the Ho

F) Do not reject the Ho

Type E or F in the box 

6) Conclusion

G) There is enough evidence to support the claim that the percentage today is less than 70%.

H) There is not enough evidence to support the claim that the percentage today is less than 70%.

Type G or H in the box 

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