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. (You may find it useful to reference the appropriate table: z table or t table)

a. Select the null and the alternative hypotheses.

multiple choice 1

A) H₀: p = 0.75; H_A: p 0.75

b)H₀: p 0.75; H_A: p > 0.75

c)H₀: p 0.75; H_A: p < 0.75

b. Calculate the sample proportion. (Round your answer to 2 decimal places.)

Sample Portion=

c. Calculate the value of test statistic. (Round final answer to 2 decimal places.)

Test Statistic=

d. Find the p-value.

a)p-value < 0.01

b)0.01 p-value < 0.025

c)0.025 p-value < 0.05

D)0.05 p-value < 0.10

E)p-value 0.10

e. At the 5% level of significance, what is the conclusion?

a)Reject H₀; the claim is supported by the data.

b)Reject H₀; the claim is not supported by the data.

c)Do not reject H₀; the claim is supported by the data.

d)Do not reject H₀; the claim is not supported by the data.