QUESTION #1

A response can fall into one of k = 4 categories with hypothesized cell probabilities given below. If 210 responses are recorded, what are the four expected cell counts for the chi-square test? p1 = 0.35, p2 = 0.15, p3 = 0.05, p4 = ? A peony plant with red petals was crossed with another plant having streaky petals. A geneticist states that 75% of the offspring from this cross will have red flowers. To test this claim, 100 seeds from this cross were collected and germinated, and 56 plants had red petals. Use the chi-square goodness-of-fit test to determine whether the sample data confirm the geneticist's prediction. (Use a = 0.01. Use P 1 for the probability of having red flowers and P2 for the probability of having streaky petals.) State the null and alternative hypotheses. Ho: At least one p; is different from the specified value. Ha: P1 = 0.75; P2 = 0.25 O Ho: P1 = P2 = 0.5 Ha: At least one p; is different from 0.5. O Ho: P1 = 0.56; P2 = 0.44 Ha: At least one p; is different from the specified value. O Ho: P1 = 0.75; P2 = 0.25 Ha: At least one p; is different from the specified value. O Ho: At least one p; is different from the specified value. Ha: P1 = 0.56; P2 = 0.44 Find the test statistic. (Round your answer to two decimal places.) X2 = X Find the rejection region. (Round your answer to two decimal places.) X X State your conclusion. Ho is rejected. There is sufficient evidence to conclude that the geneticist's model is not correct. O Ho is not rejected. There is insufficient evidence to conclude that the geneticist's model is not correct. O Ho is rejected. There is insufficient evidence to conclude that the geneticist's model is not correct. Ho is not rejected. There is sufficient evidence to conclude that the geneticist's model is not correct