2. Ramsey County’s 911 call center once published data on several years of phone calls (more than 800,000) for which 6% of the calls took more than 30 seconds to be answered. This seemed clearly unacceptable (imagine calling 911 in an emergency and waiting more than 30 seconds for an answer!) so steps were taken to reduce the time for an operator to answer. In the first month after the changes, there were 16,357 calls to the center, and in 932 of these calls the operator took more than 30 seconds to answer. Assume this first month of calls can be considered a random sample of calls. State the null hypothesis, Ho, and the alternative hypothesis, HA, that should be used to determine if the changes have reduced the percent of calls that are answered in more than 30 seconds. Ho: English version:

2. Ramsey County’s 911 call center once published data on several years of phone calls (more than 800,000) for which 6% of the calls took more than 30 seconds to be answered. This seemed clearly unacceptable (imagine calling 911 in an emergency and waiting more than 30 seconds for an answer!) so steps were taken to reduce the time for an operator to answer. In the first month after the changes, there were 16,357 calls to the center, and in 932 of these calls the operator took more than 30 seconds to answer. Assume this first month of calls can be considered a random sample of calls. State the null hypothesis, Ho, and the alternative hypothesis, HA, that should be used to determine if the changes have reduced the percent of calls that are answered in more than 30 seconds. Ho: English version:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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I was cofused these questions specifically the symbolic versions. And the rest of the questions were hard to understand.

2. Ramsey County's 911 call center once published data on several years of phone calls (more than
800,000) for which 6% of the calls took more than 30 seconds to be answered. This seemed clearly
unacceptable (imagine calling 911 in an emergency and waiting more than 30 seconds for an answer!)
so steps were taken to reduce the time for an operator to answer. In the first month after the changes,
there were 16,357 calls to the center, and in 932 of these calls the operator took more than 30 seconds
to answer. Assume this first month of calls can be considered a random sample of calls.
a. State the null hypothesis, Ho, and the alternative hypothesis, HA, that should be used to determine
if the changes have reduced the percent of calls that are answered in more than 30 seconds.
Ho: English version:
Symbolic version:
HA: English version:
Symbolic version:
b. Check that the assumptions for normality are met, and calculate the sample proportion and
the standard error.

c.
Calculate the z-score for the sample proportion, and use normalcdf to calculate the p-value.
d. Using a significance level of 0.05, do you reject or fail to reject the null hypothesis?
e. Interpret your conclusion in context, for your friend who has not taken statistics.

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