Extra Credit Assignment
Score: 0/5 0/5 answered
Question 4
<
>
The student government at Nassau Community College has been told that the student population consists
of 61% female and 39% male. A random sample of 500 students consists of 270 females and 230 males, as
shown in the table below. Does the sample data fit the population proportions at $x$ = 1%?
Sample of Students
Gender Number of students
Females
Males
270
230
(a) State the hypotheses:
$H_o$: The Select an answer
for gender Select an answer
the
Select an answer
for gender.
$H_a$: The Select an answer
✔for gender Select an answer
the
Select an answer
for gender.
(b) Choose the correct distribution:
Normal Distribution
OT-Distribution
Chi-Square Distribution
(c) State the decision rule:
Select an answer
is Select an answer
(d) Experiment:
at a
Complete the table below for the expected values.
Expected Values
Gender Number of students
Females
Males
Symbol of the sample statistic:
Ομ
Ox
Op
Op
2-1
Ομι
Oz
01-2
Ο μα
% if the p-value of the Select an answer
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
Vata=
(f) Answer the question: Does the sample data fit the population proportions?
Yes, because the gender proportions for the sample are significantly different from the gender
proportions for the population.
No, because the gender proportions for the sample are significantly different from the gender
proportions for the population.
Yes, because the gender proportions for the sample are not significantly different from the gender
proportions for the population.
No, because the gender proportions for the sample are not significantly different from the gender
proportions for the population.
Question Help: Message instructor
Submit Question