The student government at Nassau Community College has been told that the student population consists of 53% female and 47% male. A random sample of 500 students consists of 265 females and 235 males, as shown in the table below. Does the sample data fit the population proportions at a= 5 %? Sample of Students Gender Number of students Females 265 Males 235
The student government at Nassau Community College has been told that the student population consists of 53% female and 47% male. A random sample of 500 students consists of 265 females and 235 males, as shown in the table below. Does the sample data fit the population proportions at a= 5 %? Sample of Students Gender Number of students Females 265 Males 235
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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Transcribed Image Text:Symbol of the sample statistic:
Op
O p-
ox
Op
OPi - P2
Op
O pz
Value of the sample statistic rounded to 2 decimal places:
P-value of the sample statistic rounded to 4 decimal places:
(e) Conclusion: Select an answer
v at a =
(f) Answer the question: Does the sample data fit the population proportions?
O No, because the gender proportions for the sample are significantly different from the gender
proportions for the population.
O Yes, because the gender proportions for the sample are not significantly different from the gender
proportions for the population.
O No, because the gender proportions for the sample are not significantly different from the gender
proportions for the population.
O Yes, because the gender proportions for the sample are significantly different from the gender
proportions for the population.
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Transcribed Image Text:The student government at Nassau Community College has been told that the student population consists
of 53% female and 47% male. A random sample of 500 students consists of 265 females and 235 males, as
shown in the table below. Does the sample data fit the population proportions at a = 5 %?
Sample of Students
Gender Number of students
Females
265
Males
235
(a) State the hypotheses:
v the
Ho: The Select an answer
Select an answer
v for gender Select an answer
v for gender.
Ha: The Select an answer
v for gender Select an answer
v the
Select an answer
v for gender.
(b) Choose the correct distribution:
O Chi-Square Distribution
OT-Distribution
O Normal Distribution
(c) State the decision rule:
Select an answer
v at a =
% if the p-value of the Select an answer v is
Select an answer
(d) Experiment:
Complete the table below for the expected values.
Expected Values
Gender
Number of students
Females
Males
Chp
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