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 differs from 75% today. He selected a random sample of 56 Americans and found that 48 said that they would prefer an American automobile. Can it be concluded that the percentage today differs from 75%? At α = 0.10, is he correct? Use the critical value method with tables. Do not round intermediate steps. (a) State the hypotheses and identify the claim. (b) Find the critical value(s). Round the answer(s) to two decimals. (c) Compute the test value. Always round z score values to at least two decimal places. (d) Make the decision (e) Summarize the results.
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 differs from 75% today. He selected a random sample of 56 Americans and found that 48 said that they would prefer an American automobile. Can it be concluded that the percentage today differs from 75%? At α = 0.10, is he correct? Use the critical value method with tables. Do not round intermediate steps.
(a) State the hypotheses and identify the claim.
(b) Find the critical value(s). Round the answer(s) to two decimals.
(c) Compute the test value. Always round z score values to at least two decimal places.
(d) Make the decision
(e) Summarize the results.
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