7) (1 point) A package delivery service wants to compare theproportion of on-time deliveries for two of its major serviceareas. In City A, 251 out of a random sample of 310 deliveries wereon time. A random sample of 324 deliveries in City B showed that243 were on time.
1. Calculate the difference in the sampleproportion for the delivery times in the two cities.
p^CityA−p^CityBp^CityA−p^CityB =
2. What are the correct hypotheses forconducting a hypothesis test to determine whether the proportion ofdeliveries that are on time in City A is different from than theproportion in City B?
A. H0:pA=pBH0:pA=pB, HA:pAB. H0:pA=pBH0:pA=pB, HA:pA≠pBHA:pA≠pB
C. H0:pA=pBH0:pA=pB, HA:pA>pBHA:pA>pB
3. Calculate the pooled estimate of the sampleproportion.
p^p^ =
4. Is the success-failure condition met forthis scenario?
A. No
B. Yes
5. Calculate the test statistic for thishypothesis test.
? z t X^2 FĂ‚Â Ă‚Â =
6. Calculate the p-value for this hypothesistest.
p-value =
7. Based on the p-value, we have:
A. some evidence
B. very strong evidence
C. extremely strong evidence
D. strong evidence
E. little evidence
that the null model is not a good fit for our observed data.
8. Compute a 90% confidence interval for thedifference p^CityA−p^CityBp^CityA−p^CityB.
( , )
