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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
icon
Related questions
Question
100%
Answer completely. No need for long solutions. Just brief solutions with correct answers. I will upvote. Thank you
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax