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QuestionHomework /5:9(1,3,4,5)14(1,2)/ 5: 9(1,3,4,5) 14(1,2) Question 11 of 30 (1 point) I Question Attempt 1 of 3 Jonathan 06 6 07 ✓9\checkmark 9 10 11 12 13 14 15 Español 16 17
Confidence in banks: A poll conducted asked a random sample of 1358 adults in the United States how much confidence they had in banks and other financial institutions. A total of 149 adults said that they had a great deal of confidence. An economist claims that less than 13%13 \% of U.S\mathrm{U} . \mathrm{S}. adults have a great deal of confidence in banks. Can you conclude that the economist's claim is true? Use both α=0.10\alpha=0.10 and α=0.01\alpha=0.01 levels of significance and the PP-value method with the TI-84 Plus calculator.
Part: 0/50 / 5
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:□H1:□\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}
This hypothesis test is a (Choose one) ∇\boldsymbol{\nabla} test. Skip Part Check Save For Later O 2024 MaGrow HIIILC. All Rights Resened

Studdy Solution
Compare the P-value to the significance levels α=0.10\alpha = 0.10 and α=0.01\alpha = 0.01.
- For α=0.10\alpha = 0.10: 0.0183<0.100.0183 < 0.10, reject H0H_0. - For α=0.01\alpha = 0.01: 0.0183>0.010.0183 > 0.01, do not reject H0H_0.
Conclusion: At α=0.10\alpha = 0.10, there is sufficient evidence to support the economist's claim that less than 13% of U.S. adults have a great deal of confidence in banks. However, at α=0.01\alpha = 0.01, there is not sufficient evidence to support the claim.

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