Question 746434: Hello I have trouble with these questions,
1) Identify the sample space of the probability experiment and determine the number of outcomes in the sample space,
Guessing the last digit in the price of a TV.
The sample space is:
There are .... # outcomes in the sample space
2) Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. z= .54
3) Find the p value for a left tailed hypothesis test with a test statistic of z= -1.23. Decide weather to reject Ho if the level of significance is alpha =.10.
4) Is achieving a basic skill level related to the location of the school? The results of a random sample of students by the location of school and the number of students achieving basic skill levels in three subjects is shown in the contingency table. At a alpha = .01, test the hypothesis that the variables are independent.
subject
location reading math science
urban 44 50 30
suburban 66 68 54
A) Ho:Skill level in a subject is independent or dependent? of location
Ha: Skill level in a subject is independent or dependent ? of Location
The alternative or null hypothesis ? is the claim
B) Determine the degrees of freedom, critical value, and identify the rejection region.
D.F. =
Critical Value
Xo2=
What is the rejection region?
Calculate the text statistic? What is is X2
C)Decide to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 1) Identify the sample space of the probability experiment and determine the number of outcomes in the sample space,
Guessing the last digit in the price of a TV.
The sample space is: The whole numbers 0 thru 9
---------------------------------------------------
There are as many single digits as there are TV prices in the sample space
--------------------------
2) Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. z= .54
Note: You need to describe the shaded area.
------------------------------------------------
3) Find the p value for a left tailed hypothesis test with a test statistic of z= -1.23.
Ans P(z < -1.23) = 0.1093
------------------------
Decide weather to reject Ho if the level of significance is alpha =.10.
Ans: Since the p-value is greater than 10%, fail to reject Ho.
--------------------------------------------
4) Is achieving a basic skill level related to the location of the school?
The results of a random sample of students by the location of school and the number of students achieving basic skill levels in three subjects is shown in the contingency table. At a alpha = .01, test the hypothesis that the variables are independent.
subject
location reading math science
urban::::: 44::::50 ::::::30
suburban:: 66::: 68 ::::::54
Ho: row and column factors are independent
Ha: they are not independent
-----
I ran a Chi-Sq Test on the 2 by 2 data set and got the following results/
test statistic: Chi-Sq = 1234.67
p-value: 0 to 8 decimal places
df = 2
---
Conclusion: Since the p-value is less than 1% reject Ho.
The row and column factors are not independent.
======================================================
Cheers,
Stan H.
=============
|
|
|