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1 of 4

Following are observed frequencies. The null hypothesis is

H0 = :p1 = 0.30, p2 = 0.35, p3 = 0.05, p4 = 0.05, p5 = 0.25

Category 1 2 3 4 5

Observed 71 91 22 21 75

Test the hypothesis that the distribution of the observed frequencies is as given by the null hypothesis. Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator.

(a) State the null and alternate hypotheses.

(b) Find the

P-value. Round the answer to at least four decimal places.

(c) Determine whether to reject H0.

.

(d) State a conclusion.

Part 1 of 4

(a) State the null and alternate hypotheses.

H0 : p1 = 0.30, p2= , p3 = , p4 = 0.05, p5 = 0.25

H1:The distribution of the observed frequencies (does not differ or differs) from that of the expected frequencies.