1. Consider the following two way table that summarizes two variables in a dataset

	no	yes	Total
New version	4980	5020	10000
old version	5020	4980	10000

The variables are "which version of the product? old or new" and "would they buy it? yes or no"

use the p-value calculator to find find the p-value that measures evidence for the claim that there is a relationship between variables.

You just need to enter the p-value , but it is useful to understand that the p-value is based on the test stat which is a zscore if the difference between population proportions is 0 in this case that test stat is 0.56568542494924 if the test stat is correct then the p-value is correct.

2.Consider the following data set

At the Sydney store a sample of 100 customers spent an average of $2206 with standard deviation $60

and at the Melbourne store a sample of 100 customers spent an average of $2208 with standard deviation $80

What is the p-value for testing if there is a difference between means

use software such as

http://www.usablestats.com/calcs/2samplet&summary=1

click here for a guide to usigng the webpage

or use the p-value calculator

guide to using the p-value calculator

Click here for a guide for using the p-value calculator

if you enter the numbers correctly the test stat should be -0.2

There are many p-values in the output, Always use the first p-value in the output,

3. Be careful with this question, you must tick every correct option Compare and contrast both cases below, use the p-value calculator

click here for a guide for using the p-value calculator CASE1

	group 1	group 2
mean	100.97	99.71
standard deviation	30	40
sample size	100	100

Test stat =0.252 (Use a computer to verify this test stat, if the test stat is correct then the p-value is correct)

CASE 2

	group 1	group 2
mean	100.97	99.71
standard deviation	30	40
sample size	400	400

Test stat =0.504 (Use a computer to verify this test stat, if the test stat is correct then the p-value is correct)

a.the sample proportion in group 1 is 14.37

b.for case 1 the pvalue is 6.65

c.for case 1 the pvalue is 0.80

d.For case 2 the pvalue is =0.81

e.For case 2 the pvalue is =0.61

f.When you compare case 1 with case 2, case 2 has a larger sample size so there is more evidence that the population means are different so the p-value is lower

g.When you compare case 1 with case 2, case 2 has a larger sample size so there is more evidence that the population means are different so the p-value is higher