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MY NOTES We are interested in testing whether or not a coin is balanced based on...
.. We are interested in testing whether or not a coin is balanced based on the...
.. We are interested in testing whether or not a coin is balanced based on the number of heads Y on 36 tosses of the coin (Ho : p = 0.5 versus HA : P = 0.5). Suppose we use the rejection region {y: ly - 181 > 4}. (a) In terms of this problem what would be a type I and type II error? (b) Find the level, a, of the test. (Hint: Is a Normal approximation appropriate?) (c)...
Q2 (15) Suppose we suspect a coin is not fair – we suspect that it has...
Q2 (15) Suppose we suspect a coin is not fair – we suspect that it has larger chance of getting tails than heads, so we want to conduct a hypothesis testing to investigate this question. a:(4 pts) Let p be the chance of getting heads, write down the alternative hypothesis H, and the null hypothesis Ho in terms of p. b: (5 pts) In order to investigate this question, we flip the coin 100 times and record the observation. Suppose...
Suppose we suspect a coin is not fair we suspect that it has larger chance of...
Suppose we suspect a coin is not fair we suspect that it has larger chance of getting tails than heads, so we want to conduct a hypothesis testing to investigate this question. a:(4 pts) Let p be the chance of getting heads, write down the alternative hypothesis Ha and the null hypothesis Ho in terms of p. b: (5 pts) In order to investigate this question, we flip the coin 100 times and record the observation. Suppose we use T...
Students conducted an experiment to determine whether the Belgium-minted Euro coin was equally likely to land...
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...
2. Suppose we want to test whether a coin is fair (that is, the probability of...
2. Suppose we want to test whether a coin is fair (that is, the probability of heads is p = .5). We toss the coin 1000 times, and record the number of heads. Let T denote the number of heads divided by 1000. Consider a test that rejects the null hypothesis that p=.5 if T > c. (a) Write down a formula for P(T>c) assuming p = 0.5. (This formula may be compli- cated, but try to give an explicit...
8.46 Sample size for tossing a coin. Refer to Exercise 8.39 where we analyzed the 10,000...
8.46 Sample size for tossing a coin. Refer to Exercise 8.39 where we analyzed the 10,000 coin tosses made by John Kerrich. Suppose that you want to design as a study that would test the hypothesis that a coin is fair if versus the alternative that the probability of a head is 0.05. what sample 0.51. Using a two-sided test with a = size would be needed to have 0.80 power to detect this alternative? us 8.39 Tossing a coin...
In order to test whether a certain coin is fair, it is tossed ten times and the number of heads (X) is counted. Let p be the "head probability". We wish to test the null hypothesis: p = 0.5 ag...
In order to test whether a certain coin is fair, it is tossed ten times and the number of heads (X) is counted. Let p be the "head probability". We wish to test the null hypothesis: p = 0.5 against the alternative hypothesis: p > 0.5 at a significance level of 5%. (a) Suppose we will reject the null hypothesis when X is smaller than h. Find the value of h. (b) What is the probability of committing a type...
9. A father asks his sons to cut their backyard lawn. Since he does not specify which of his three sons is to do the job, each boy tosses an unbiased coin to determine the odd person, who must then c...
9. A father asks his sons to cut their backyard lawn. Since he does not specify which of his three sons is to do the job, each boy tosses an unbiased coin to determine the odd person, who must then cut the lawn. In the case that all three get heads or tails, they continue tossing until they reach a decision. What is the minimum number of tosses required to reach a decision with probability 0.957 10. The time between...
1. 01 points ASWESBE9 12.E.009. My Notes Ask Your Teacher You may need to use the appropriate technology to answer...
1. 01 points ASWESBE9 12.E.009. My Notes Ask Your Teacher You may need to use the appropriate technology to answer this question. The following table contains observed frequencies for a sample of 200. Column Variable Row Variable AB C 20 4450 P 30 26 30 Test for independence of the row and column variables using aa.os 0.05 State the null and alternative hypotheses Ho: The column variable is independent of the row variable. Ha The column variable is not independent...
.. We are interested in testing whether or not a coin is balanced based on the number of heads Y on 36 tosses of the coin (Ho : p = 0.5 versus HA : P = 0.5). Suppose we use the rejection region {y: ly - 181 > 4}. (a) In terms of this problem what would be a type I and type II error? (b) Find the level, a, of the test. (Hint: Is a Normal approximation appropriate?) (c)...
Q2 (15) Suppose we suspect a coin is not fair – we suspect that it has larger chance of getting tails than heads, so we want to conduct a hypothesis testing to investigate this question. a:(4 pts) Let p be the chance of getting heads, write down the alternative hypothesis H, and the null hypothesis Ho in terms of p. b: (5 pts) In order to investigate this question, we flip the coin 100 times and record the observation. Suppose...
Suppose we suspect a coin is not fair we suspect that it has larger chance of getting tails than heads, so we want to conduct a hypothesis testing to investigate this question. a:(4 pts) Let p be the chance of getting heads, write down the alternative hypothesis Ha and the null hypothesis Ho in terms of p. b: (5 pts) In order to investigate this question, we flip the coin 100 times and record the observation. Suppose we use T...
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...
2. Suppose we want to test whether a coin is fair (that is, the probability of heads is p = .5). We toss the coin 1000 times, and record the number of heads. Let T denote the number of heads divided by 1000. Consider a test that rejects the null hypothesis that p=.5 if T > c. (a) Write down a formula for P(T>c) assuming p = 0.5. (This formula may be compli- cated, but try to give an explicit...
8.46 Sample size for tossing a coin. Refer to Exercise 8.39 where we analyzed the 10,000 coin tosses made by John Kerrich. Suppose that you want to design as a study that would test the hypothesis that a coin is fair if versus the alternative that the probability of a head is 0.05. what sample 0.51. Using a two-sided test with a = size would be needed to have 0.80 power to detect this alternative? us 8.39 Tossing a coin...
9. A father asks his sons to cut their backyard lawn. Since he does not specify which of his three sons is to do the job, each boy tosses an unbiased coin to determine the odd person, who must then cut the lawn. In the case that all three get heads or tails, they continue tossing until they reach a decision. What is the minimum number of tosses required to reach a decision with probability 0.957 10. The time between...
1. 01 points ASWESBE9 12.E.009. My Notes Ask Your Teacher You may need to use the appropriate technology to answer this question. The following table contains observed frequencies for a sample of 200. Column Variable Row Variable AB C 20 4450 P 30 26 30 Test for independence of the row and column variables using aa.os 0.05 State the null and alternative hypotheses Ho: The column variable is independent of the row variable. Ha The column variable is not independent...
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