A plant resistant for a certain disease was crossed with another type of plant partially susceptible to the disease. A plant geneticist claimed that 75% of the offsprings re- sulting from the cross will be resistant to the disease. To test this claim, 150 seeds from this cross were collected and germinated. Of these plants, 110 plants were found resistant to the disease. (i) Write the hypotheses. (ii) conditions that are required. Write the test statistic. State the assumptions being made and test the ii) Write the distribution of the test statistic under the null hypothesis. Find the p-value in this context and interpret it. Drawing a picture may (iv) be helpful.

In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consisted of​ 201,229 children given the Salk vaccine for​ polio, and the other​ 200,745 children were given a placebo. Among those in the treatment​ group, 33 developed​ polio, and among those in the placebo​ group, 115 developed polio. If we want to use the methods for testing a claim about two population proportions to test the claim that the rate of polio is less for children given the Salk​ vaccine, are the requirements for a hypothesis test​ satisfied? Explain.   A The requirements are not​ satisfied; the samples are not simple random samples that are independent.   B. The requirements are​ satisfied; the samples are simple random samples that are​ independent, and for each of the two​ groups, the number of successes is at least 5 and the number of failures is at least 5.   C. The requirements are​ satisifed; the samples are simple random samples…

A study is being performed to see if there is a correlation between theconcentration of chromium in the blood and a suspected disease. Bloodsamples from a series of volunteers with a history of the disease and otherindicators of susceptibility are analyzed and compared with the results fromthe analysis of samples from healthy control subjects. From the followingresults, determine whether the difference between the two groups can beascribed to chance or whether they are real (i.e. Do the two groups havestatistically different results at the 95% confidence limit?). [Hint: You mustdecide if the standard deviations of the two methods are statistically thesame first.]

Assortative mating is a nonrandom mating pattern where individuals with similar genotypes and/or phenotypes mate with one another more frequently than what would be expected under a random mating pattern. Researchers studied this topic and collected data on Scandinavian men and their female partners. They found out 60% of Scandinavian men have blue eyes. Among those men with blue eyes, 80% of them choose female partners with blue eyes. Among those Scandinavian men whose eye color is not blue, 20% of them have partners with blue eyes.    Given that a man’s partner has blue eyes, what’s that probability this man has blue eyes? If 60% of Scandinavian men have blue eyes and you randomly select 8 men, what’s the probability that none of them has blue eyes?

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The jobless rate for Italy in January 2015 was 13.4%. In a random sample of 50 employable adults in one city, 8 were unemployed. Check with the Assumptions/Conditions apply. The samples are randomly selected. The trials are independent. There are at least 10 chances to success and 10 chances to fail. The sample size represents less that 10% of the population.

A fashion designer surveys companies about upcoming seasonal trends for average hem length. He surveys 4 major companies, comparing the average hem length of their proposed designs. From each company, he takes a random sample of 5 employees. The data are significant at a = 0.05. (a) What is the next step in the one-way ANOVA? Stop, the results were significant. The Tukey-Kramer post hoc test is not needed. Stop, the results were not significant. The Tukey-Kramer post hoc test is not needed. Continue to the Tukey-Kramer post-hoc test, as the results were significant. There is not enough information, so collect more data. (b) Suppose MSE = 127.3 and k = 4. What is the degrees of freedom for MSE? O df - 4(5) - 4 = 16 O df - 4(5) - 1 = 19 df = 4 - 1 = 3 (c) How many Tukey-Kramer comparison intervals need to be calculated?

A student researcher claims that fewer than 8% of the Junior High School completers will enroll in private Senior High Schools. To test this claim, he collected sufficient samples randomly and found out that 85 out of 380 Junior High School completers are planning to enroll in private Senior High Schools. Give the  Null hypothesis (with mathematical model): Alternative hypothesis (with mathematical model):

To investigate the effect of four treatments on change in body fat mass each of 74 male subjects who were over age 65 was assigned at random to one of the following four treatments: (1) placebo "growth hormone" and placebo "steroid" (denoted by P + P), (2) placebo "growth hormone" and the steroid testosterone (denoted by P + S), (3) growth hormone and placebo "steroid" (denoted by G + P), and (4) growth hormone and the steroid testosterone (denoted by G + S). The accompanying table lists data on change in body fat mass over the 26-week period following the treatment. Carry out an F test to see whether true mean change in body fat mass differs for the four treatments if N = 74, grand total T = -159.3, and x = = -2.1527. (Use a significance level of 0.05.) N Change in Body Fat Mass (kg) Treatment P + P P + S n x 5 5² 0.4 0.3 -1.6 -0.6 -2.2 1.2 0.7 1.4 -1.3 -0.3 1.8 1.1 The conclusion is the following. O reject Ho O fail to reject Ho 0.5 0.3 -1.2 -0.3 0.6 17 1.1270 1.2701 -3.8 -1.1 0.1…

Using the proper symbols, write the null and alternative hypotheses for each scenario below. a) A very large study showed that aspirin reduced the rate of first heart attacks by 44%. A  pharmaceutical company thinks they have a drug that will be more effective than aspirin and plans to do a randomized clinical trial to test the new drug. b) In the 1950’s, only about 40% of high school graduates went on to college. Has the percentage changed?