Harper MTH165 Homework Section 9.1 Latest 2020 MAY

MTH165 ELEMENTARY STATISTICS

Homework Section 9.1

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: