A test of null hypothesis H0= u=u0 gives test statistic z=-1.82. Graph the probablities of each question. a) What is the p-value if the alternative Ha: u>u0 b) What is the p-value if the alternative Ha: u
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A test of null hypothesis H0= u=u0 gives test statistic z=-1.82. Graph the probablities of each question.
a) What is the p-value if the alternative Ha: u>u0
b) What is the p-value if the alternative Ha: u<u0
c) what is the p-value if the alternative Ha: u does not equal u0
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- A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 295 kicks during games among top teams. In the table, jump direction indicates which way the goalkeeper jumped, where the kick direction is from the perspective of the goalkeeper. Use a 0.05 significance level to test the claim that the direction of the kick is independent of the direction of the goalkeeper jump. Do the results support the theory that because the kicks are so fast, goalkeepers have no time to react, so the directions of their jumps are independent of the directions of the kicks? Goalkeeper Jump Left Center Right Kick to Left 59 3 37 Kick to Center 42 8 31 Kick to Right 47 5 63In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 312 kicks during games among top teams. In the table, jump direction indicates which way the goalkeeper jumped, where the kick direction is from the perspective of the goalkeeper. Use a 0.05 significance level to test the claim that the direction of the kick is independent of the direction of the goalkeeper jump. Do the results support the theory that because the kicks are so fast, goalkeepers have no time to react, so the directions of their jumps are independent of the directions of the kicks? LOADING... Click the icon to view the penalty kick data. Determine the null and alternative hypotheses. A. H0: Jump direction is independent of kick direction. H1: Jump direction is dependent on kick direction. B. H0: Jump direction is dependent on kick direction. H1: Jump direction is independent of kick direction.…
- In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 294 kicks during games among top teams. In the table, jump direction indicates which way the goalkeeper jumped, where the kick direction is from the perspective of the goalkeeper. Use a 0.01 significance level to test the claim that the direction of the kick is independent of the direction of the goalkeeper jump. Do the results support the theory that because the kicks are so fast, goalkeepers have no time to react, so the directions of their jumps are independent of the directions of the kicks? a. Determine the test statistic. χ2= (Round to three decimal places as needed.) b. Determine the P-value of the test statistic. P-value= (Round to four decimal places as needed.)In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 293 kicks during games among top teams. In the table, jump direction indicates which way the goalkeeper jumped, where the kick direction is from the perspective of the goalkeeper. Use a 0.01 significance level to test the claim that the direction of the kick is independent of the direction of the goalkeeper jump. Do the results support the theory that because the kicks are so fast, goalkeepers have no time to react, so the directions of their jumps are independent of the directions of the kicks? Goalkeeper Jump Left Center Right Kick to left 51 5 39 Kick to center 42 8 35 Kick to right 47 9 57 1. Determine the null and alternative hypothesis 2. X2 test statistic = 3. P-value = 4. State the conclusionIn soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 281 kicks during games among top teams. In the table, jump direction indicates which way the goalkeeper jumped, where the kick direction is from the perspective of the goalkeeper. Use a 0.01 significance level to test the claim that the direction of the kick is independent of the direction of the goalkeeper jump. Do the results support the theory that because the kicks are so fast, goalkeepers have no time to react, so the directions of their jumps are independent of the directions of the kicks? Left Center Right Kick to the Left 50 4 42 Kick to Center 37 12 32 Kick to Right 43 6 55
- A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operationsmanager of a large taxi company selects a sample of 40 taxis and finds the average age of the taxis is8.2 years. The standard population is 2.3 years. At can it be concluded that the average ageof the taxis in his company is less than the national average?Data released by the Department of Education regarding the rate (percentage) of ninth-grade students who don't graduate in a certain year showed that, out of 50 states, 15 states had an increase in the dropout rate during the past 2 years.14 states had a dropout rate of at least 30% during the past 2 years.18 states had an increase in the dropout rate and/or a dropout rate of at least 30% during the past 2 years. (a) How many states had both a dropout rate of at least 30% and an increase in the dropout rate over the 2-year period?states(b) How many states had a dropout rate that was less than 30% but that had increased over the 2-year period?statesData released by the Department of Education regarding the rate (percentage) of ninth-grade students that don't graduate showed that out of 50 states, 11 states had an increase in the dropout rate during the past 2 years. 13 states had a dropout rate of at least 30% during the past 2 years. 21 states had an increase in the dropout rate and/or a dropout rate of at least 30% during the past 2 years. How many states had a dropout rate that was less than 30% but that had increased over the 2-year period?
- Data released by the Department of Education regarding the rate (percentage) of ninth-grade students who don't graduate in a certain year showed that, out of 50 states, 13 states had an increase in the dropout rate during the past 2 years.17 states had a dropout rate of at least 30% during the past 2 years.19 states had an increase in the dropout rate and/or a dropout rate of at least 30% during the past 2 years. (a) How many states had both a dropout rate of at least 30% and an increase in the dropout rate over the 2-year period? states(b) How many states had a dropout rate that was less than 30% but that had increased over the 2-year period? statesA scientist is studying the relationship between stomach aches and headaches among students. On her survey, she asked if the participant had headaches that could be classified as “sudden,” “chronic,” or “none.” The survey also asked if the participant had stomach aches with answers of “yes” or “no.” From the survey she found: 14% have sudden headaches; 22% have chronic headaches; 15% have stomach aches; Of those with stomach aches, 1⁄3 have sudden headaches. Of those with no headaches, 1⁄8 have stomach aches. What is the probability that a randomly selected student from the survey did not have stomach aches, but they do have chronic headaches?A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (a) State the appropriate hypotheses with a significance level of 0.05. H0: p = 0.20Ha: p > 0.20H0: p > 0.20Ha: p = 0.20 H0: p = 0.20Ha: p < 0.20H0: p = 0.20Ha: p ≠ 0.20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z=P-value= What can you conclude? Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese.Reject the null hypothesis. There is not…