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Confidence in banks: A poll conducted asked a random sample of 1239 adults in the United States how much confidence they had in banks and other financial institutions. A total of 158 adults said that they had a great deal of confidence. An economist claims that greater than 11% of U.S. adults have a great deal of confidence in banks. Can you conclude that the economist's claim is true? Use both =α0.10 and =α0.01 levels of significance and the P-value method with the TI-84 Plus calculator.Part: 0 / 50 of 5 Parts CompletePart 1 of 5(a) State the appropriate null and alternate hypotheses.:H0 :H1 This hypothesis test is a ▼(Choose one) test.

Question

Confidence in banks: A poll conducted asked a random sample of 1239 adults in the United States how much confidence they had in banks and other financial institutions. A total of 158 adults said that they had a great deal of confidence. An economist claims that greater than 11% of U.S. adults have a great deal of confidence in banks. Can you conclude that the economist's claim is true? Use both =α0.10 and =α0.01 levels of significance and the P-value method with the TI-84 Plus calculator.Part: 0 / 50 of 5 Parts CompletePart 1 of 5(a) State the appropriate null and alternate hypotheses.:H0 :H1 This hypothesis test is a ▼(Choose one) test.

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Solution

The null hypothesis (H0) and the alternate hypothesis (H1) for this problem would be:

H0: p ≤ 0.11 (The proportion of U.S. adults who have a great deal of confidence in banks is less than or equal to 11%) H1: p > 0.11 (The proportion of U.S. adults who have a great deal of confidence in banks is greater than 11%)

This hypothesis test is a right-tailed test because we are testing if the proportion is greater than a certain value.

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