Please help me with these 3 Questions

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MORE BENEFITS OF EATING ORGANIC Using specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data. In this case, we are testing where po and pc represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. Use a 5 % significance level. Effect of Organic Soybeans After 8 Days After 8 days, the proportion of fruit flies eating organic soybeans still alive is 0.83, while the proportion still alive eating conventional soybeans is 0.33. The standard error for the difference in proportions is 0.033. What is the value of the test statistic? Round your answer to two decimal places. Z = i What is the p-value? Round your answer to three decimal places. p-value = i HO: Po = Pc Ha: Po > Pc What is the conclusion? Is there evidence of a difference?

Penalty Shots in World Cup Soccer A study of 138 penalty shots in World Cup Finals games between 1982 and 1994 found that the goalkeeper correctly guessed the direction of the kick only 41% of the time. The article notes that this is "slightly worse than random chance." We use these data as a sample of all World Cup penalty shots ever. Test at a 5 % significance level to see whether there is evidence that the percent guessed correctly is less than 50 % . The sample size is large enough to use the normal distribution. The standard error from a randomization distribution under the null hypothesis is SE = 0.043. 1St.John, A., "Physics of a World Cup Penalty-Kick Shootout - 2010 World Cup Penalty Kicks," Popular Mechanics, June 14, 2010. State the null and alternative hypotheses. Ho: eTextbook and Media Z = :: # What is the test statistic? i p Round your answer to two decimal places. eTextbook and Media p-value = i :: x1 What is the p-value? Round your answer to three decimal places. μ1 x2 vs Ha: ! :: p 42 A pl p A P2 pl p2 :: 0.5

Dogs Ignore an Unreliable Person A study¹ investigated whether dogs change their behavior depending on whether a person displays reliable or unreliable behavior. Dogs were shown two containers, one empty and one containing a dog biscuit. An experimenter pointed to one of the two containers. If the experimenter pointed to the container with the treat on the first trial, 16 of 26 dogs followed the experimenter's cue on the second trial. However, if the experimenter misled the dog on the first trial, only 7 of 26 dogs followed the cue on the second trial. Test to see if the proportion following the cue is different depending on whether the person exhibited reliable or unreliable behavior. The standard error for the difference in proportions is 0.138. Use a 5 % significance level. Let group 1 be the dogs to follow a cue from a person who is reliable and let group 2 be the dogs to follow a cue from a person who is unreliable. Takaoka A, Maeda T, Hori Y, Fujita K, "Do dogs follow behavioral cues from an unreliable human?," Animal Cognition (2015), 18:475-483. State the null and alternative hypotheses. Ho:! = CT Z = # eTextbook and Media What is the test statistic? i p x :> x1 Round your answer to three decimal places. vs Ha: :: x2 41 ^ p 442 :: p ^ :: P1 A P2 pl r p2 88-

What is the p-value? Round your answer to three decimal places. p-value i

The dataset ExerciseHours contains information on the amount of exercise (hours per week) for a sample of statistics students. The mean amount of exercise was 9.4 hours for the 30 female students in the sample and 12.4 hours for the 20 male students. A randomization distribution of differences in means based on these data, under a null hypothesis of no difference in mean exercise time between females and males, is centered near zero and reasonably normally distributed. The standard error for the difference in means, as estimated from the standard deviation of the randomization differences, is SE = 2.38. Use this information to test, at a 5 % level, whether the data show that the mean exercise time for female statistics students is less than the mean exercise time of male statistics students. Click here for the dataset associated with this question. State the null and alternative hypotheses. Let group 1 be the female participants and group 2 be the male participants. Ho: = eTextbook and Media Z = :: # What is the test statistic? i Round your answer to two decimal places. p eTextbook and Media p-value = i :> x1 vs Ha: What is the p-value? Round your answer to three decimal places. x2 μ1 p 442 pl p P2 pl :: P2 :