Many financial institutions are unwittingly training their online customers to take risks with their passwords and other sensitive acc information, leaving them more vulnerable to fraud. Researchers at the University of Michigan found design flaws in 78% of the 214 financial institution websites they studied. Is the sample evidence sufficient to conclude that more than three out of four of these websites are prone to fraud? Use a 5% significance level for the test. a. Select the null and the alternative hypotheses. He: p = 0.75; HA: P = 0.75 He: p ≤ 0.75; HA: P >0.75 He: pz 0.75; HA: P < 0.75 b. Calculate the sample proportion. (Round your answer to 2 decimal places.) Sample proportion c. Calculate the value of test statistic. (Round final answer to 2 decimal places.) Test statistic N
Many financial institutions are unwittingly training their online customers to take risks with their passwords and other sensitive acc information, leaving them more vulnerable to fraud. Researchers at the University of Michigan found design flaws in 78% of the 214 financial institution websites they studied. Is the sample evidence sufficient to conclude that more than three out of four of these websites are prone to fraud? Use a 5% significance level for the test. a. Select the null and the alternative hypotheses. He: p = 0.75; HA: P = 0.75 He: p ≤ 0.75; HA: P >0.75 He: pz 0.75; HA: P < 0.75 b. Calculate the sample proportion. (Round your answer to 2 decimal places.) Sample proportion c. Calculate the value of test statistic. (Round final answer to 2 decimal places.) Test statistic N
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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![Many financial institutions are unwittingly training their online customers to take risks with their passwords and other sensitive account
information, leaving them more vulnerable to fraud. Researchers at the University of Michigan found design flaws in 78% of the 214
financial institution websites they studied. Is the sample evidence sufficient to conclude that more than three out of four of these
websites are prone to fraud? Use a 5% significance level for the test.
a. Select the null and the alternative hypotheses.
He: p= 0.75; HA: P * 0.75
He: p s 0.75; HA: p > 0.75
He: p = 0.75; HA: P < 0.75
b. Calculate the sample proportion. (Round your answer to 2 decimal places.)
Sample proportion
c. Calculate the value of test statistic. (Round final answer to 2 decimal places.)
Test statistic
3
d. Find the p-value.
p-value < 0.01
0.01 s p-value < 0.025
0.025 s p-value < 0.05
0.05 s p-value <0.10
p-value z 0.10
e. At the 5% level of significance, what is the conclusion?
Reject He: the claim is supported by the data.
Reject He: the claim is not supported by the data.
Do not reject He; the claim is supported by the data.
Do not reject He: the claim is not supported by the data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5af56cc-b2d3-4c6c-9e4d-9e21ec513093%2F3262e8b9-9095-4551-8d3c-a4bf887db1ef%2F8ybe8i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Many financial institutions are unwittingly training their online customers to take risks with their passwords and other sensitive account
information, leaving them more vulnerable to fraud. Researchers at the University of Michigan found design flaws in 78% of the 214
financial institution websites they studied. Is the sample evidence sufficient to conclude that more than three out of four of these
websites are prone to fraud? Use a 5% significance level for the test.
a. Select the null and the alternative hypotheses.
He: p= 0.75; HA: P * 0.75
He: p s 0.75; HA: p > 0.75
He: p = 0.75; HA: P < 0.75
b. Calculate the sample proportion. (Round your answer to 2 decimal places.)
Sample proportion
c. Calculate the value of test statistic. (Round final answer to 2 decimal places.)
Test statistic
3
d. Find the p-value.
p-value < 0.01
0.01 s p-value < 0.025
0.025 s p-value < 0.05
0.05 s p-value <0.10
p-value z 0.10
e. At the 5% level of significance, what is the conclusion?
Reject He: the claim is supported by the data.
Reject He: the claim is not supported by the data.
Do not reject He; the claim is supported by the data.
Do not reject He: the claim is not supported by the data.
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