For those two testing problems, the following steps should be included in your solution

I.H₀ and H_A.

II.Copy and Paste the R output.

III.Decision: accept or reject H₀.

IV.Conclusion: In words interpretation of the decision that answers the starting question.

It.- - nu.- \"Immune. "1.2.3- E51111: SWChmnization products all": used to bring mils into heat at a Predictable time so that they can he \"ham? Impregnated hit articial insemination. In a study 01'1\"\" '35th Synchronization products. 42 mature cows GEES 4'3 years) Wore randomly allocated to receive \"that product A \"I product R and then all cows were bred by articial insemination.'Ihe table shows how many of the Insemtnations resulted in pregnancy.\" Consider a ciursquare test to compare the effectiveness of the two products in producing pregnancy. Treatment Product A Product E Total number of cows 21 21 Number of cows pregnant 3 15 Here is computer output for a chi-square test using a non- directional alternative. DIEsquared = 4.?1. df = 1. p-va'lue = [LEG [a] State the null and alternative hypotheses in context. lb} Compute the expected frequencies {a} If r: = (LBS, what is your conclusion regarding H0? {'1} Suppose that prior to conducting the study, the researchers were expecting product A to be superior to product E. Using a = cos and a directional alternative. what is your conclusion? The experiment was conducted as a series of trials or: indivtdual bee-ti; each trial consisted of presenting a hca with both owers and observing which ower it landed on first. {Flower 1 was sometimes on the left and some- times on the right.) During the \"training" trials, ower 1 contained a sucrose solution, and ower 2 did not; thus, the bee was trained to prefer ower 1. During the testing trials, neither ower contained sucrose. In 25 testing trials with a particular bee, the bee chose ower 1 twenty times and ower 2 ve times Use a goodness-ot-fit test to assess the evidence that the bee could remember and distinguish the ower pat terns. Use a directional alternative and let a = 0.05. 9.4.4 At a Midwestern hospital there were a total of 932 births in 20 consecutive weeks. Of these births, 216 occurred on weekends?"5 Do these data reveal more than chance deviation from random timing of the births? Consider a goodness of fit test with two categories of birthsweekday and weekendusing a nondirectional alternative. {a} What is the value of the X2 test statistic? (b)1n the context of this study, state the null and alternative hypotheses. ' _ . for = CLUE wh ' [c The 3143111.: for the test ts [l l _ , at 15 Four conclusion ragarding the hypnths "1 (b)? ffm~_