Consider a multinomial experiment withn= 260 andk= 4. The null hypothesis to be tested isH₀:p₁=p₂=p₃=p₄= 0.25. The observed frequencies resulting from the experiment are (UseTable 3):

Category1234Frequency85588975

a.Choose the appropriate alternative hypothesis.All population proportions differ from 0.25.Not all population proportions are equal to 0.25.

b.Calculate the critical value at the 10% significance level.(Round your answer to 3decimal places.)

Critical value

c.Calculate the value of the test statistic.(Round intermediate calculations to 4 decimal places and your final answer to 2 decimal places.)

Test statistic

d.What is the conclusion to the hypothesis test?Do not rejectH₀since the value of the test statistic exceeds the critical value.RejectH₀since the value of the test statistic does not exceed the critical value.Do not rejectH₀since the value of the test statistic does not exceed the critical value.RejectH₀since the value of the test statistic exceeds the critical value.