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

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100%
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: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. Question Help: Message instructor Submit Question hp
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
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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