Harper MTH165 Homework Section 7.2 Latest 2020 MAY

MTH165 ELEMENTARY STATISTICS

Homework Section 7.2

In this section you learned how to perform a hypothesis test for a single proportion use 1-Prop Z-Test

In this section you had (qualitative/quantitative) data.  In this case we use the parameter ___ and the random variable

What input screen will you use in this section to compute the sample statistic, test statistic and p-value? 

What is the formula for the test statistic in this section?  z = _(p ?-p_0)/√((p_0 (1-p_0))/n)_

Fill in the following as you work through your given problems in MyOpenMath

1.            individual object: __________ ____________________________________

                P: parameter p, The percentage of all consumer complaints in that state that are for identity theft

                H: Hypotheses

                A: Assumptions

Since      information was collected from each object

np≥10

n(1−p)≥10

N≥20n

N: NAME THE PROCEDURE

1-Proportion Z-Test

T: TEST STATISTIC

p?  = 103/400

z= 2.26

O: OBTAIN THE P-VALUE              

P value = 0.0118

M: Since the p-value         Correct  0.02 , we       

S: There is significant evidence to conclude the percentage of all consumer complaints in that state that are for identity theft is more than 0.23

2.            individual object: _____children__________________________________________

                P: p

The percentage of all children in that state that are diagnosed with ASD

                H:

p= 1/88

p> 1/88

A:

Qualitative

np≥10

n(1−p)≥ 10

N≥20n

N

1-Proportion Z-Test

T:

p ?=1054/31200

Z = 37.76

O:          

P value = 0.0000

M:

Since the p-value           0.06 , we       

S:

There is significant evidence to conclude the percentage of all children in that state that are diagnosed with ASD is more than 1/88

What type of error may have been made in the conclusion on problem 1?  ____ ________________

What type of error may have been made in the conclusion on problem 2?  __ __________________

When doing inferential statistics you need to keep in mind that although you are making educated guesses about the population, they are still __ _____________.

What are the two reasons why a sample result may be different from the claim about the population (hint this answer is in the flashcards)?