Use the sample data given in the table below, to construct a 90% confidence interval estimate of the difference between the
two population proportions. The confidence level of 90% is comparable to the
significance level of a = 0.05 used in a two tailed hypothesis test. What
does the result suggest about the effectiveness of a safety belt in an
accident?

                                          Safety
Belt Used                    Safety
Belt Not used

Occupant
Fatalities                      123                                            110

Total
number of occupants      22,501                                     18,543 Choose the best answer.

Question

Use the sample data given in the table below, to construct a 90% confidence interval estimate of the difference between the
two population proportions. The confidence level of 90% is comparable to the
significance level of a = 0.05 used in a two tailed hypothesis test.  What
does the result suggest about the effectiveness of a safety belt in an
accident?

Safety
Belt Used                    Safety
Belt Not used

Occupant
Fatalities                      123                                            110

Total
number of occupants      22,501                                      18,543  Choose the best answer.

Answer

-0.0038    < 
(p2 - p1)   < -0.0016

The confidence interval limits do not
contain 0, implying that there is a significant difference between the two
proportions. The confidence interval suggests that the fatality rate is lower
for occupants in cars with used safety belt than for occupants in cars without
the use of it.

Answer

-0.004    < 
(p1 - p2)   < -0.008

The confidence interval limits do not
contain 0, implying that there is a significant difference between the two
proportions. The confidence interval suggests that the fatality rate is lower
for occupants in cars without the use of safety belt than for occupants in cars with the use of it.

Answer

-0.0038    < 
(p1 - p2)   < 0.0016  The confidence interval limits contain 0, implying that there is a significant difference between the two
proportions. The confidence interval suggests that the fatality rate is lower
for occupants in cars with used safety belt than for occupants in cars without
the use of it.

Answer

P-value = 1.9E-2 thus H(alternative) is accepted

Answer

-0.00138    < 
(p1 - p2)   < -0.00116

The confidence interval limits do not
contain 0, implying that there is a significant difference between the two
proportions. The confidence interval suggests that the fatality rate is lower
for occupants in cars with used safety belt than for occupants in cars without
the use of it.

Answer

-0.003    < 
(p1 - p2)   < -0.001

The confidence interval limits do not
contain 0, implying that there is a significant difference between the two
proportions. The confidence interval suggests that the fatality rate is lower
for occupants in cars with used safety belt than for occupants in cars without
the use of it.

Answer

0.0038    < 
(p1 - p2)   < 0.006

The confidence interval limits do not
contain 0, implying that there is a significant difference between the two
proportions. The confidence interval suggests that the fatality rate is lower
for occupants in cars with used safety belt than for occupants in cars without
the use of it.

Answer

P-value = 1.5579E+2 thus H(alternative) is accepted

Answer

-0.0005    < 
(p1 - p2)   < -0.001

The confidence interval limits do not
contain 0, implying that there is a significant difference between the two
proportions. The confidence interval suggests that the fatality rate is lower
for occupants in cars with used safety belt than for occupants in cars without
the use of it.

Answer

-0.0038    < 
(p1 - p2)   < -0.0016

The confidence interval limits do not
contain 0, implying that there is a significant difference between the two
proportions. The confidence interval suggests that the fatality rate is lower
for occupants in cars with used safety belt than for occupants in cars without
the use of it.

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Use the sample data given in the table below, to construct a 90% confidence int...

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