Automobiles Purchased An automobile owner found that 20  years ago, 75% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much greater than 75%  today. He selected a random sample of 54  Americans and found that 43 said that they would prefer an American automobile. Can it be concluded that the percentage today is greater than 75% ? At α=0.01, is he correct? Use the critical value method with tables. (a) State the hypotheses. H0: claim/do not claim? H1: claim/do not claim? This hypothesis test is one tailed/two tailed? (b) Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):

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Automobiles Purchased An automobile owner found that 20  years ago, 75% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much greater than 75%  today. He selected a random sample of 54

 Americans and found that 43 said that they would prefer an American automobile. Can it be concluded that the percentage today is greater than 75% ? At α=0.01, is he correct? Use the critical value method with tables.

(a) State the hypotheses.

H0: claim/do not claim?

H1: claim/do not claim?

This hypothesis test is one tailed/two tailed?

(b) Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas.

Critical value(s): 
 
 
 
 

(c) Compute the test value. Always round 

z

 score values to at least two decimal places.

 

=z
 
 
 
 

(d) Make the decision.

▼(Choose one) the null hypothesis.
 
 
 

(e) Summarize the results.

There is ▼(Choose one) that the percentage of Americans who said that they would prefer to purchase an American automobile is greater than 
75%
.
 
 
 
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