Question
Perform the indicated goodness-of-fit test. Among the four northwestern states, Washington has 51%of the total population., Oregon has 30%, Idaho has 11%, andMontana has 8%. A market researcher selects a sample of 1000subjects, 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 inMontana. At the significance level, test the claim that the sampleof 1000 subjects has a distribution that agrees with thedistribution of state populations. please show steps, so i can understand the process Perform the indicated goodness-of-fit test. Among the four northwestern states, Washington has 51%of the total population., Oregon has 30%, Idaho has 11%, andMontana has 8%. A market researcher selects a sample of 1000subjects, 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 inMontana. At the significance level, test the claim that the sampleof 1000 subjects has a distribution that agrees with thedistribution of state populations. please show steps, so i can understand the process
Explanation / Answer
Here expected frequencies can be calculated by multiplying theprobability value with the number of subjects. We have 1000 subjects so we have to multipply theprobabilities by 1000. For Washington we have 51%=0.51, E=1000x0.51=510