Question

A report summarized the results of a survey of 319 U.S. businesses. Of these companies, 209 indicated that they monitor employees' web site visits. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of businesses in the United States.

(a) Is there sufficient evidence to conclude that more than 60% of U.S. businesses monitor employees' web site visits? Test the appropriate hypotheses using a significance level of 0.01. (Round your test statistic to two decimal places and your P-value to four decimal places.)

z	=
P-value	=

State your conclusion.

Do not reject H₀. We do not have convincing evidence that more than 60% of U.S. businesses monitor employees' web site visits.

Do not reject H₀. We have convincing evidence that more than 60% of U.S. businesses monitor employees' web site visits.    

Reject H₀. We do not have convincing evidence that more than 60% of U.S. businesses monitor employees' web site visits.

Reject H₀. We have convincing evidence that more than 60% of U.S. businesses monitor employees' web site visits.

(b) Is there sufficient evidence to conclude that a majority of U.S. businesses monitor employees' web site visits? Test the appropriate hypotheses using a significance level of 0.01. (Round your test statistic to two decimal places and your P-value to four decimal places.)

z	=
P-value	=

State your conclusion.

Do not reject H₀. We have convincing evidence that a majority of U.S. businesses monitor employees' web site visits.

Reject H₀. We have convincing evidence that a majority of U.S. businesses monitor employees' web site visits.   

Reject H₀. We do not have convincing evidence that a majority of U.S. businesses monitor employees' web site visits.

Do not reject H₀. We do not have convincing evidence that a majority of U.S. businesses monitor employees' web site visits.

Answer 1

Here using ti-83 calculator.

a)

H0 :

Ha :

n= 319

x= 209

p^ = (X/n)

Test statistic :-

z =2.01

P-value = 0.0221

Do not reject H0. We do not have convincing evidence that more than 60% of U.S. businesses monitor employees' web site visits.

b)

HO :

Ha :

Test statistic :-

z = 2.01

P-value = 0.0443

Do not reject H0. We do not have convincing evidence that a majority of U.S. businesses monitor employees' web site visits.