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 =
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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