Flipping 16 coins with probability of heads = 0.5 1 run 5 runs 1000 runs Reset Analyze Info Runs Event Count Total Proportion 9987 Proportion of heads 0.875 20 10000 0.002 9988 9989 Outcomes Convergence 9990 Frequency 9991 2000 9992 1500 9993 9994 1000 9995 500 9996 9997 0 0.8 9998 0:2 0.4 Proportion of heads 9999 10000rs] For these l samples, apply the theory you learned to estimate the mean and the standard deviation of the distribution of sample proportions. Explain or show how you got your estimates. :1] Is a normal model a good t for this distribution? 1.Iil'hy or why not?I Questions about making an inference based on a distribution ofsample proportions: 3] In the 1i'ale experiment, 14 out of 115 infants chose the helper toy. This a sample proportion of 118 T5. a] Is 14- out of 16 unusual in a random sample ifwe assume 13:13.5? Explain hon.r you know. b} What is the probability that in a random sample of 16 infants, 14 or more will choose the helper toy? Explain hon.r you determined the probability. c) The Yale researchers claim that infants recognize, and make judgments about, other individuals based on how they interact with each other. To show this, their experiment must produce strong evidence that the infants are not arbitrarily picking one toy over the other. Does their experiment provide strong evidence in support of their claim that infants have a preference for the helper? Why or why not