Math  /  Data & Statistics

QuestionConfidence in banks: A poll conducted in 2012 asked a random sample of 1259 adults in the United States how much confidence they had in banks and other financial institutions. A total of 154 adults said that they had a great deal of confidence. An economist claims that greater than 13%13 \% of U.S. adults have a great deal of confidence in banks. Can you conclude that the economist's claim is true? Use both α=0.01\alpha=0.01 and α=0.05\alpha=0.05 levels of significance and the PP-value method with the TI-84 Plus calculator.
Part: 0/40 / 4
Part 1 of 4 (a) State the appropriate null and alternate hypotheses. H0H_{0} : \square H1H_{1} : \square
This hypothesis test is a (Choose one) \nabla test. \square - \square \square \square \square \square 11 \neq \square pp
3

Studdy Solution

STEP 1

1. We are conducting a hypothesis test for a proportion.
2. The sample size is 1259, and the number of successes (adults with a great deal of confidence) is 154.
3. The claim is that more than 13%13\% of U.S. adults have a great deal of confidence in banks.

STEP 2

1. State the null and alternate hypotheses.
2. Determine the type of test.
3. Calculate the test statistic and PP-value.
4. Make a decision based on the PP-value and significance levels.

STEP 3

State the null and alternate hypotheses.
The null hypothesis (H0H_0) is that the proportion of U.S. adults with a great deal of confidence in banks is equal to 13%13\%.
H0:p=0.13 H_0: p = 0.13
The alternate hypothesis (H1H_1) is that the proportion of U.S. adults with a great deal of confidence in banks is greater than 13%13\%.
H1:p>0.13 H_1: p > 0.13

STEP 4

Determine the type of test.
This hypothesis test is a one-tailed test for a proportion.
The hypotheses are:
H0:p=0.13 H_0: p = 0.13 H1:p>0.13 H_1: p > 0.13
This hypothesis test is a one-tailed test for a proportion.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord