Suppose a researcher is interested in determining how friends and family arrive to parties. The researcher attends a party where the host invites 26 friends and 17 family members and records whether each person arrived early (more than 5 minutes before the time given on the invitation), on-time (between 5 minutes before and 5 minutes after the time given on the invitation), or late (more than 5 minutes after the time given on the invitation). Suppose the researcher obtained the following data shown in the contingency table below. Early On-time Late 11 Friend Family Member 5 10 10 5 2 6. State the null hypothesis and alternative hypothesis for this investigation in complete sentences. 7. Copy the observed values provided here into the table on your template. Find the expected counts for each cell and write them next to the observed values. (Make sure to clearly label the observed and expected counts. Make sure to show your work in the space provided for this question as well.) 8. Find the chi-square test statistic for this investigation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Suppose a researcher is interested in determining how friends and family arrive to parties. |
The researcher attends a party where the host invites 26 friends and 17 family members and
records whether each person arrived early (more than 5 minutes before the time given on the
invitation), on-time (between 5 minutes before and 5 minutes after the time given on the
invitation), or late (more than 5 minutes after the time given on the invitation).
Suppose the researcher obtained the following data shown in the contingency table below.
Early
On-time
Late
11
Friend
Family Member
5
10
10
5
2
6. State the null hypothesis and alternative hypothesis for this investigation in complete
sentences.
7. Copy the observed values provided here into the table on your template. Find the
expected counts for each cell and write them next to the observed values. (Make sure
to clearly label the observed and expected counts. Make sure to show your work in
the space provided for this question as well.)
8. Find the chi-square test statistic for this investigation.
9. Find the p-value of this investigation. (Make sure to show the appropriate probability
expression. Do not just write the value you find.)
10. State the conclusion of this investigation in context.
Transcribed Image Text:Suppose a researcher is interested in determining how friends and family arrive to parties. | The researcher attends a party where the host invites 26 friends and 17 family members and records whether each person arrived early (more than 5 minutes before the time given on the invitation), on-time (between 5 minutes before and 5 minutes after the time given on the invitation), or late (more than 5 minutes after the time given on the invitation). Suppose the researcher obtained the following data shown in the contingency table below. Early On-time Late 11 Friend Family Member 5 10 10 5 2 6. State the null hypothesis and alternative hypothesis for this investigation in complete sentences. 7. Copy the observed values provided here into the table on your template. Find the expected counts for each cell and write them next to the observed values. (Make sure to clearly label the observed and expected counts. Make sure to show your work in the space provided for this question as well.) 8. Find the chi-square test statistic for this investigation. 9. Find the p-value of this investigation. (Make sure to show the appropriate probability expression. Do not just write the value you find.) 10. State the conclusion of this investigation in context.
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