A fair coin should land showing tails with a relative frequency of 50% in a long...
A penny was spun on a hard, flat surface 50 times, tanding on 18 heads and 32 tails. Using a chi-square test for goodness of fit, test the hypothesis that the coin is based using a 0.05 level of significance Let p be the probability that the coin lands on heads. State the null and alternative hypotheses Ho: The coin is not biased P- 5. H: The coin is based; P 5 (Type Integers or decimals. Do not round) Find...
C Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 150 times and got 67 heads. We wish to find how significant is this evidence against equal probabilities, a. What is the sample proportion of heads? Round to 3 decimal places. b. Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different? Take p to be the probability of...
Question 2 Suppose you have a fair coin (a coin is considered fair if there is an equal probability of being heads or tails after a flip). In other words, each coin flip i follows an independent Bernoulli distribution X Ber(1/2). Define the random variable X, as: i if coin flip i results in heads 10 if coin flip i results in tails a. Suppose you flip the coin n = 10 times. Define the number of heads you observe...
Students conducted an experiment to determine whether the Belgium-minted Euro coin was equally likely to land heads up or tails up. Coins were spun on a smooth surface, and in 330 spins, 180 landed with the heads side up (a) Should the students interpret this result as convincing evidence that the proportion of the time the coin would land heads up is not 0.5? Test the relevant hypotheses using α decimal places.) 0.01. (Round your test statistic to two decimal...