In: Statistics and Probability
Suppose there is a random sample of 200 observations, divided into three groups. The table below summarizes the count of observations that were seen in each group.
| 
 Group 1  | 
 Group 2  | 
 Group 3  | 
| 
 102  | 
 40  | 
 58  | 
We are interested in testing the null hypothesis H0:p1=0.5,p2=0.2,p3=0.3, against the alternative hypothesis HA:Atleastoneproportionisincorrect.
a) What is the value of the test statistic?
Round your response to at least 2 decimal places.
b) What conclusion can be made at the 5% level of significance?
| There is no significant evidence against the null hypothesis, and therefore there is no significant evidence that any of the proportions is not correct. | ||
| There is very strong evidence against the null hypothesis, and therefore it is rejected in favour of the alternative hypothesis that at least one proportion is not correct. |