Homework Answers
The one on the right has more statistical power because it rejects the null more often when the alternate is correct.
Reason: The probability density of the alternate hypothesis is more on the left of the first vertical line (alternate is correct) than the null hypothesis and it decreases in the region between two vertical lines. However, in the case of left, there is a significant overlap between the alternate and null hypothesis in the region between two vertical lines and probability density on the left of the first vertical line is lesser than the right plot.
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Consider the two plots showing the null distribution (dashed), and two tails (dashed vertical lines) each...
In the figure below, vertical lines A and C indicates to the 2.5% tails of the...
In the figure below, vertical lines A and C indicates to the 2.5% tails of the null distribution, while B and D indicates the 2.5% tails of the alternate distribution. In other words, the red areas (area 0 and 8) sum to 5%. If the significance level alpha-5%, which area corresponds to the probability of correctly rejecting null hypothesis when the alternate hypothesis is true (i.e., the statistical power)? (assume a two-sided test) For your answer, select any areas that...
Figure 1. Vertical li indicate the 2.5% tails of the alternate distribution. In other words, the ...
please answer questions
Figure 1. Vertical li indicate the 2.5% tails of the alternate distribution. In other words, the red areas (area 0 and 8) sum to 5%, and areas 2, 3, 7 also sums to 5%. dicate the 2.5% tails of the null distribution, while B and D alternate distribution null distribution test statistic Consider a two-sided null hypothesis test with 0.05 as significance level. From the above probability density plot, identify the corresponding areas, or test statistic value...
1. Consider the experiment of rolling a pair of dice values showing on the dice. experiment...
1. Consider the experiment of rolling a pair of dice values showing on the dice. experiment of rolling a pair of dice. Suppose we are interested in the sum of face a. How many simple events are possible? b. List the sample space. c. What is the probability of obtaining a 7? d. What is the probability of obtaining a value of 9 or more? Because each roll has six possible even values (2.4,6,8,10,12) and five possible odd values (3,5,7,9,11),...
6.(13) Standard of Proof Recall that (when the null hypothesis is that an accused person is...
6.(13) Standard of Proof Recall that (when the null hypothesis is that an accused person is innocent) a Type I error occurs when an innocent person is found guilty, and that a Type II error occurs when a guilty person is found innocent. The expected social cost of judicial error in a case equals the (probability of a Type I error times the social cost of a Type 1 eror) + (probability of a Type II error times the social...
Question 4t Write the correct values in the boxes. For this question, working is not required and will not be mar For parts (a) - (e), consider the Markov process with transition diagram at right...
Question 4t Write the correct values in the boxes. For this question, working is not required and will not be mar For parts (a) - (e), consider the Markov process with transition diagram at right and steady state vector SA (a) When p 0.2 and-0.3 the value of sA is b) When p 0.6 and SA 0.6 the value of g is Hint: In a steady state, the probability that a step is a switch from state B to state.A...
1. You are trying to develop a strategy for investing in two different stocks. The anticipated...
1. You are trying to develop a strategy for investing in two different stocks. The anticipated annual return for a $1,000 investment in each stock under four different economic conditions has the following probability distribution: Р (Y) Probability of Annual Р (Х) Economic Stock X Stock Y Condition Returns Returns Return (X) (y) (P) Recession 0.1 -50 -100 Slow Growth 0.3 20 50 Moderate 0.4 100 130 Growth Fast Growth 0.2 200 150 xP(x) a. What is the expected return...
Please show work. Thanks in advance. Question 5 (20 pts) You must decide which of two...
Please show work. Thanks in advance.
Question 5 (20 pts) You must decide which of two discrete distri- butions a random variable X has. We will call the distributions po and p. Here are the probabilities they assign to the values r of X. 2 Po P 0 1 2 0.1 0.1 0.2 0.1 0.3 0.2 3 4 5 0.3 0.1 0.1 0.1 0.1 0.1 6 0.1 0.1 You have a single observation on X and wish to test Ho:...
A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage...
A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage u for foodservice workers in the U.S. Last year's mean hourly wage was $8.25, and there is reason to believe that this year's value is greater than last year's The union decides to do a statistical test to see if it can be concluded that the mean has increased. The union chooses a random sample of 125 wages from this year Suppose that the...
In the probability distribution to the right, the random variable X represents the number of marriages...
In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Complete parts (a) through (0) below 0 0.278 10.573 3 0.027 4 0.004 5 0.001 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because theof the probabilities is (Type whole numbers. Use ascending order) (b) Draw a graph of the probability distribution Describe the shape of...
Explain what a P-value is. What is the criterion for rejecting the null hypothesis using the...
Explain what a P-value is. What is the criterion for rejecting the null hypothesis using the P-value approach? Explain what a P-value is. Choose the correct answer below. OA. A P-value is the probability of observing a sample statistic as extreme or more extreme than the one observed under the assumption that the statement in the null hypothesis is true B. A P-value is the number of standard deviations that the observed proportion is from the proportion stated in the...
In the figure below, vertical lines A and C indicates to the 2.5% tails of the null distribution, while B and D indicates the 2.5% tails of the alternate distribution. In other words, the red areas (area 0 and 8) sum to 5%. If the significance level alpha-5%, which area corresponds to the probability of correctly rejecting null hypothesis when the alternate hypothesis is true (i.e., the statistical power)? (assume a two-sided test) For your answer, select any areas that...
please answer questions
Figure 1. Vertical li indicate the 2.5% tails of the alternate distribution. In other words, the red areas (area 0 and 8) sum to 5%, and areas 2, 3, 7 also sums to 5%. dicate the 2.5% tails of the null distribution, while B and D alternate distribution null distribution test statistic Consider a two-sided null hypothesis test with 0.05 as significance level. From the above probability density plot, identify the corresponding areas, or test statistic value...
1. Consider the experiment of rolling a pair of dice values showing on the dice. experiment of rolling a pair of dice. Suppose we are interested in the sum of face a. How many simple events are possible? b. List the sample space. c. What is the probability of obtaining a 7? d. What is the probability of obtaining a value of 9 or more? Because each roll has six possible even values (2.4,6,8,10,12) and five possible odd values (3,5,7,9,11),...
6.(13) Standard of Proof Recall that (when the null hypothesis is that an accused person is innocent) a Type I error occurs when an innocent person is found guilty, and that a Type II error occurs when a guilty person is found innocent. The expected social cost of judicial error in a case equals the (probability of a Type I error times the social cost of a Type 1 eror) + (probability of a Type II error times the social...
Question 4t Write the correct values in the boxes. For this question, working is not required and will not be mar For parts (a) - (e), consider the Markov process with transition diagram at right and steady state vector SA (a) When p 0.2 and-0.3 the value of sA is b) When p 0.6 and SA 0.6 the value of g is Hint: In a steady state, the probability that a step is a switch from state B to state.A...
1. You are trying to develop a strategy for investing in two different stocks. The anticipated annual return for a $1,000 investment in each stock under four different economic conditions has the following probability distribution: Р (Y) Probability of Annual Р (Х) Economic Stock X Stock Y Condition Returns Returns Return (X) (y) (P) Recession 0.1 -50 -100 Slow Growth 0.3 20 50 Moderate 0.4 100 130 Growth Fast Growth 0.2 200 150 xP(x) a. What is the expected return...
Please show work. Thanks in advance.
Question 5 (20 pts) You must decide which of two discrete distri- butions a random variable X has. We will call the distributions po and p. Here are the probabilities they assign to the values r of X. 2 Po P 0 1 2 0.1 0.1 0.2 0.1 0.3 0.2 3 4 5 0.3 0.1 0.1 0.1 0.1 0.1 6 0.1 0.1 You have a single observation on X and wish to test Ho:...
A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage u for foodservice workers in the U.S. Last year's mean hourly wage was $8.25, and there is reason to believe that this year's value is greater than last year's The union decides to do a statistical test to see if it can be concluded that the mean has increased. The union chooses a random sample of 125 wages from this year Suppose that the...
In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Complete parts (a) through (0) below 0 0.278 10.573 3 0.027 4 0.004 5 0.001 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because theof the probabilities is (Type whole numbers. Use ascending order) (b) Draw a graph of the probability distribution Describe the shape of...
Explain what a P-value is. What is the criterion for rejecting the null hypothesis using the P-value approach? Explain what a P-value is. Choose the correct answer below. OA. A P-value is the probability of observing a sample statistic as extreme or more extreme than the one observed under the assumption that the statement in the null hypothesis is true B. A P-value is the number of standard deviations that the observed proportion is from the proportion stated in the...
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