Suppose that we are testing a coin to see if it is fair, so our hypotheses are: h0: p = 0.5 vs ha: p ≠ 0.5. in each of (a) and (b) below, use the "edit data" option on statkey to find the p-value for the sample results and give a conclusion in the test. a. we get 56 heads out of 100 tosses. b. we get 560 heads out of 1000 tosses. c. compare the sample proportions in parts (a) and (b). compare the p-values. why are the p-values so different?

a. We get 56 heads out of 100 tosses.

We will use one sample proportion test  

x = 56

n = 100

Formula of test statistic =

                                       =

                                       =

refer the z table for p value

p value = 0.8849

a.  We get 560 heads out of 1000 tosses.

We will use one sample proportion test  

x = 560

n = 1000

Formula of test statistic =

                                       =

                                       =

refer the z table for p value

p value = .000148

p value of part B is less than Part A because part B have 10 times the number the tosses.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.