In this section you learned how to compute a confidence interval and perform a hypothesis test for the difference in proportions.
In this section you learned how to compute a confidence interval and perform a hypothesis test for the difference in proportions.
In this section you are dealing with _____ __________________ data.
The symbol for the parameter in this section is _______.
The symbol for the point estimate for that parameter is _______.
What input screen do you use for the interval estimate? ________________________________
What input screen do you use for the hypothesis test? ____
Fill in the following as you work through your given problems in MyOpenMath
1. Part a: Hypothesis Test
P:
p?= The percentage of all eight-year olds from a fairly urban state that are diagnosed with ASD
p? = The percentage of all eight-year olds from a fairly rural state that are diagnosed with ASD
H:
H0: p? – p? = 0
HA: p? – p? < 0
A:
Since qualitative information was collected from each object, we need to check the following conditions:
x1≥10 and x2≥10
n1−x1≥10 and n2−x2≥10
N1≥20n1 and N2≥20n2
The samples are independent.
N:
The conditions are met to use a 2 –Proportion Z- test
T:
The symbol and value of the random variable (to 4 decimal places) on this problem are as follows:
p?? – p?? = -0.0128
Z = -6.07
O:
P value = 0.0000
M:
Since the p-value ≤ 0.03 , we reject H?
S:
There is significant evidence to conclude the percentage of all eight-year olds from a fairly urban state that are diagnosed with ASD is less than the percentage of all eight-year olds from a fairly rural state that are diagnosed with ASD
Part b. Confidence Interval
P: already stated above
A:already checked above
N:
I:
C:
2. Part a: Hypothesis Test
P:
p? = The percentage of all students who took the AP biology test that are female
p? = The percentage of all students who took the AP calculus AB test that are female
H:
H0: p? – p? = 0
HA: p? – p? > 0
A:
x1≥10 and x2≥10
n1−x1≥10 and n2−x2≥10
N1≥20n1 and N2≥20n2
N:
T:
p?? – p?? = 0.0740
z = 43.29
O:
M:
S:
Part b. Confidence Interval
P: already stated above
A: already checked above
N:
I:
C:
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