(S 12.1) Suppose there is a random sample of n observations, divided into four groups. The table below summarizes the count of observations that were seen in each group.
We are interested in testing the null hypothesis H0:p1=p2=p3=p4=0.25, against the alternative hypothesis HA:Atleastoneproportionisincorrect.
What is the expected count for each of the groups?
What is the value of the test statistic? Round your response to at least 2 decimal places.
What are the appropriate degrees of freedom?
What is the P-value? Round to at least 4 decimal places
H0: p1 = p2 = p3 = p4 = 0.25
HA: At least one proportion is incorrect.
Level of significance = 0.05
Test statistic is
O: Observed frequency
E: Expected frequency.
E = n*pi
Degrees of freedom = Number of E's - 1 = 4 - 1 = 3
P-value = P( ) = 0.0233
P-value < 0.05 we reject null hypothesis.
At least one proportion is incorrect.
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