Question

# Suppose there is a random sample of 100 observations, divided into three groups. The table below...

Suppose there is a random sample of 100 observations, divided into three groups. The table below summarizes the count of observations that were seen in each group.

Group 1 =51

Group 2 =17

Group 3 = 32

We are interested in testing the null hypothesis H0:p1=0.5,p2=0.2,p3=0.3, against the alternative hypothesis HA: At least one proportion is incorrect.

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 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.

There is no significant evidence against the null hypothesis, and therefore there is no significant evidence that any of the proportions is not correct.

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