Question

7.3 (1 point) A package delivery service wants to compare the proportion of on-time deliveries for two of its major service areas. In City A, 343 out of a random sample of 403 deliveries were on time. A random sample of 264 deliveries in City B showed that 209 were on time.

1. Calculate the difference in the sample proportion for the delivery times in the two cities.

?̂ ?????−?̂ ?????p^CityA−p^CityB =

2. What are the correct hypotheses for conducting a hypothesis test to determine whether the proportion of deliveries that are on time in City A is different from than the proportion in City B?

A. ?0:??=??, ??:??>??
B. ?0:??=??, ??:??≠??
C. ?0:??=??, ??:??<??

3. Calculate the pooled estimate of the sample proportion.

p^ =

4. Calculate the test statistic for this hypothesis test.

z/t/X^2/F  =

5. Calculate the p-value for this hypothesis test.

p-value =

6. Compute a 90% confidence interval for the difference ?̂ ?????−?̂ ?????.

( , )

Answer 1

Let city A shows sample 1 and city B shows sample 2.

1:

The difference in the sample proportion for the delivery times in the two cities is

2:

Hypotheses are:

B. ?0:??=??, ??:??≠??

3:

4:

5:

6: