Question 8 > a Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 300

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Question 8 A Spinning A Coin Unlike Tossing It May Not Give Heads And Tails Equal Probabilities I Spun A Penny 300 1 (156.85 KiB) Viewed 33 times

Question 8 A Spinning A Coin Unlike Tossing It May Not Give Heads And Tails Equal Probabilities I Spun A Penny 300 2 (182.77 KiB) Viewed 33 times

Question 8 A Spinning A Coin Unlike Tossing It May Not Give Heads And Tails Equal Probabilities I Spun A Penny 300 3 (171.16 KiB) Viewed 33 times

Question 8 > a Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 300 times and got 131 heads. We wish to find how significant is this evidence against equal probabilities. a. What is the sample proportion of heads? Round to 3 places. b. Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different? Let's investigate with a hypothesis test. Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test? O Ho: p=0.5 HA: p = 0.5 O Ho: P = 0.5 Ha:p> 0.5 O Ho: P = 0.5 HA: p=0.5 O Ho: p = 0.5 Hap< 0.5

C. Are the conditions satisfied to conduct a hypothesis Z-test for a one-sample proportion? Can the results of the 300 coin spins be considered random? O no O yes Is the sample independent? Check with n < 0.05N < 0.05 N Meaning that the population size has to be greater than what? Round to the nearest whole number. NZ Note: The population is all the times that you can spin the penny. Is the sample independent? O The observations are NOT independent because the sample size is NOT less than 5% of the population size, i.e. n > 0.05N O The observations are independent because the sample size is less than 5% of the population size, i.e. n < 0.05N O It is impossible to tell whether the observations are independent or not with the given information. Is the sample large enough for the sampling distribution of p to be approximately normal? Do not round your answers. про n(1 - po)

What is the conclusion about the shape of the sampling distribution of p? O Approximately Normal because mpo > 10 and 7(1-P) > 10. O Approximately Normal because the sample size n > 30. O Approximately Normal because npo <10 and 7(p) < 10 O Approximately Normal regardless of sample size. O Unknown shape because not enough information is given in the problem. O Not approximately Normal because npo <10 and +(1-P) < 10. Calculate the following parts assuming the conditions are met. d. Compute the z test statistic. ZE Round to 2 places e. Compute the p-value. Round to 4 places f. Based on the p-value what is your conclusion if a = 0.012 O Fail to reject Ho. There is sufficient evidence to conclude that when you spin a penny you do not get equal probabilities. Reject Ho. There is insufficient evidence to conclude that when you spin a penny you do not ger equal probabilities. Fail to reject Ho. There is insufficient evidence to conclude that when you spin a penny you do not get equal probabilities, Reject Ho. There is sufficient evidence to conclude that when you spin a penny you do not get equal probabilities.