In a National Public Transportation survey conducted in 1995 on the modes of transportation used to commute to work, 79.6% of the respondents said they drive alone, 11.1% carpool, 5.1% use public transportation, and 4.2% depend on other modes of transportation (USA Today, April 14, 1999). Assume that these percentages hold true for the 1995 population of all commuting workers. Recently 1000 randomly selected workers were asked what mode of transportation they use to commute to work. The following table lists the results of this survey (observed counts):

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Chapter10: Statistics
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In a National Public Transportation survey conducted in 1995 on the modes of transportation
used to commute to work, 79.6% of the respondents said they drive alone, 11.1% carpool, 5.1%
use public transportation, and 4.2% depend on other modes of transportation (USA Today, April
14, 1999). Assume that these percentages hold true for the 1995 population of all commuting
workers. Recently 1000 randomly selected workers were asked what mode of transportation
they use to commute to work. The following table lists the results of this survey (observed
counts):
Mode of transportation
Number of workers
Сагроol
102
Public Transportation
Drive Alone
Other
812
57
29
Test at the 2.5% significance level whether the current pattern of use of transportation modes is
different from that for 1995.
1. State the null and alternate hypothesis.
Но:
HA:
2. Select the distribution to use.
3. Determine the rejection region.
4. Determine the degrees of freedom.
df = k - 1
5. Create a table of expected counts.
Mode of transportation Drive Alone
Number of workers
Public Transportation
Сагроol
Other
continued on back
Transcribed Image Text:In a National Public Transportation survey conducted in 1995 on the modes of transportation used to commute to work, 79.6% of the respondents said they drive alone, 11.1% carpool, 5.1% use public transportation, and 4.2% depend on other modes of transportation (USA Today, April 14, 1999). Assume that these percentages hold true for the 1995 population of all commuting workers. Recently 1000 randomly selected workers were asked what mode of transportation they use to commute to work. The following table lists the results of this survey (observed counts): Mode of transportation Number of workers Сагроol 102 Public Transportation Drive Alone Other 812 57 29 Test at the 2.5% significance level whether the current pattern of use of transportation modes is different from that for 1995. 1. State the null and alternate hypothesis. Но: HA: 2. Select the distribution to use. 3. Determine the rejection region. 4. Determine the degrees of freedom. df = k - 1 5. Create a table of expected counts. Mode of transportation Drive Alone Number of workers Public Transportation Сагроol Other continued on back
6. Calculate the test statistic and determine the p-value.
(0 - E)?
x² =
re ln abom odio no
loome
no
7. State your decision and summarize your conclusion in the context of the problem. orh s
zieadhoqvleanmahs bas tun scrsta2
S of nonudidzib sdtoslo
noin noinsedi oiunC
b oldet a
Transcribed Image Text:6. Calculate the test statistic and determine the p-value. (0 - E)? x² = re ln abom odio no loome no 7. State your decision and summarize your conclusion in the context of the problem. orh s zieadhoqvleanmahs bas tun scrsta2 S of nonudidzib sdtoslo noin noinsedi oiunC b oldet a
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