Question
answer all: The practice ofphishing, or using the Internet to pilfer personalinformation, has become an increasing concern. Suppose a credit union instituted an extensive online
answer all:
The practice of"phishing," or using the Internet to pilfer personalinformation, has become an increasing concern. Suppose a credit union instituted an extensive online security and education program in an effort to combat phishing. The creditunion's managers believe that if more than 12% of their customers have cut back on their Internet banking transactions because of fears aboutphishing, they will be required to take more stringent action to lower this percentage. The creditunion's information technology department analyzed 150 randomly selected accounts and determined that 20 had cut back on their Internet banking transactions.
a. State the appropriate null and alternative hypotheses for this situation.
b. Using =0.05 and thep-value approach, indicate whether the sample data support taking more stringent action.
a. Identify the null and alternative hypotheses for this test. Let p be the population proportion of accounts that have cut back on their Internet banking transactions at this credit union.
A.
H0: p>0.12
HA: p0.12
B.
H0: p=0.12
HA: p0.12
C.
H0: p0.12
HA: p>0.12
D.
H0: p0.12
HA: p<0.12
b. Perform the test using a normal approximation. Identify the test statistic.
(Round to two decimal places asneeded.)
Identify thep-value.
(Round to three decimal places asneeded.)
State the conclusion for this hypothesis test.
Do not reject
Reject
H0. There
is not
is
sufficient evidence at the =0.05 level of significance to conclude that the population proportion of accounts that have cut back on their Internet banking transactions at this credit union is
greater than 0.12.
less than 0.12.
not equal to 0.12.
Therefore, the sample data
do not support
support
taking more stringent action.
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