In the garden pea, yellow cotyledon color is dominant to green, and inflated pod shape is dominant to the constricted form. Considering both of these traits jointly in self-fertilized dihybrids, the progeny appeared in the following numbers: 596 yellow, inflated 203 green, inflated 189 yellow constricted 71 green, constricted Do these genes assort independently? Genes assort independently (are NOT on the same chromosome and NOT linked) if they follow the 9:3:3:1 rule (on the 16 square Punnett square) resulting from a dihybrid cross. Support your answer using Chi-square analysis.

Molly works for a meat producer, and she needs to determine whether containers of ground beef have the correct fat content. She obtains a random sample of 120 containers of ground beef and finds that 84 percent have the correct fat content. Molly then conducts a hypothesis test of H0:p=0.80H0:p=0.80 versus Ha:p≠0.80Ha:p≠0.80 and calculates a test statistic of 1.10 with a pp-value of 0.273. Which of the following best represents the meaning of the pp-value?     If the population proportion is 0.84, the probability of observing a sample proportion of 0.80 is 0.273. A If the population proportion is 0.84, the probability of observing a sample proportion of at least 0.04 less than 0.84 is 0.273. B If the population proportion is 0.80, the probability of observing a sample proportion within 0.04 of 0.80 is 0.273. C If the population proportion is 0.80, the probability of observing a sample proportion at least 0.04 greater than 0.80 is 0.273. D If the…

1.ln a simple model Y = Bo + B1X +u, X is endogenous, and Z is an instrumental variable that satisfy the relevance and exogeneity conditions. Show that the two stage least squares (TSLS) estimator is consistent. 2.In above model, what is the asymptotic distribution of TSLS? How can we do a). hypothesis testing of Bi and b). construct confidence interval for B,?

then If the value of test statistic for a hypothesis test fall into the critical region for some a level A. p-value a C. p-value Za/2 A null hypothesis was rejected at level = 0.05. Using the same data, what will be the result of the test at level a = 0.10? A. Reject Ho B. Fail to reject Ho C. No conclusion can be made

If, in a sample of n = 25 selected from a normal population, X= 60 and S= 10, what is your statistical decision if the level of significance, a, is 0.01, the nullI hypothesis, Ho, is µ= 50, and the alternative hypothesis, H,, is µ# 50? Click here to view page 1 of the table of the critical values of t Click here to view page 2 of the table of the critical values of t. -... Determine the critical value(s). The critical value(s) is(are). (Round to four decimal places as needed. Use a comma to separate answers as needed.)

Consider the following variables: Y=daily productivity score (measured in points) X1=0 if undergraduate student,1 if graduate student X2=hours of sleep per night 1. If you want to test whether type of student modifies the association between hours of sleep per night and daily productivity score, which model (from attached image) should you consider and what is the null hypothesis for this test? A. Use Model 3 and test H0: β2=0 B. Use Model 5 and test H0: β3=0 C. Use Model 5 and test H0: β1=0 D. Use Model 5 and test H0: β2=0 E. Use Model 2 and test H0: β1=0   2. Suppose that you decide to use Model 5 (from pocture attached) to describe the relationship between type of student, hours of sleep per night, and daily productivity score.  You use the method of least squares to obtain the following: Y= -0.5 + 3(X1) + 1.5(X2) + 2.5(X1X2) What is the estimated slope relating hours of sleep per night and daily productivity score among undergraduate students?  A. 2 B. None of…

According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 13,600 miles with a standard deviation of 2820 miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, u, is less than 13,600 miles. He takes a random sample of 50 cars under the new contracts. The cars in the sample had a mean of 13,499 annual miles driven. Is there support for the claim, at the 0.10 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 13,600 miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified…

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 58% at a level of significance of αα = 0.01. According to your sample, 43 out of 85 potential voters prefer the Democratic candidate. For this study, we should use     The null and alternative hypotheses would be:     Ho:           (please enter a decimal)    H1:           (Please enter a decimal) The test statistic     = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is     αα Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly smaller than 58% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 58%. The data suggest the populaton proportion is significantly smaller than 58% at αα = 0.01, so there is…

5) r² is the ratio of TSS/ESS. 6) For a given significance level(alpha) and df, if the computed |t| exceeds the critical t value, we should accept the null hypothesis. 7) Greater r² signals the good model fit, and the value can exceed 1. 8) The p-value and the level of significance (alpha), mean the same thing.