Suppose we want to test the null hypothesis Ho : Pi - P2 = 0 against the alternative hypothesis H1: pi - P2 > 0 at the 5% level of significance. Suppose also that P1 0.8, n1 = 500, P2 = 0.75, n2 = 400. What is the p-value for this test? Select one: a. 0.0367 O b. 0.05 C. 0.0462 O d. 0.0231
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- Aurora is conducting a one-sample ?z test of the null hypothesis ?0:?=0.12H0:p=0.12 against the alternative ??:?<0.12Ha:p<0.12, where ?p is the population proportion. She requires her results to be statistically significant at a level of ?=0.10α=0.10. She selects a random sample of size ?n = 200 and calculates the sample proportion, ?̂ p^ = 0.10. What is the value of the standardized test statistic and ?P-value of her test? Give ?z precise to two decimal places and the ?P-value precise to four decimal places.Only about 18% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 326 millionaires surveyed, 49 could wiggle their ears. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Correct The null and alternative hypotheses would be: H0: (please enter a decimal) H1: (Please enter a decimal) The test statistic = ? (please show your answer to 4 decimal places.) The p-value = ? (Please show your answer to 4 decimal places.) The p-value is <OR > α? Based on this, we should ACCEPT OR REJECT OR FAIL TO REJECT the null hypothesis ?Suppose there is a claim that a certain population has a mean, H, that is different than 5. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H1, as follows. Hg: u= 5 H1: u=5 Suppose you also know the following information. The value of the test statistic based on the sample is 1.506 (rounded to 3 decimal places). The p-value is 0.132 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), which statement below is true? Since the p-value is less…
- The recidivism rate for convicted sex offenders is 11%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 337 convicted sex offenders who were also drug addicts, 30 of them became repeat offenders. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer The null and alternative hypotheses would be: Ho: ? ✓ Select an answer H₁: ? ✓ Select an answer (please enter a decimal) (Please enter a decimal) The test statistic ? ✓ = The p-value = The p-value is? ♥ α Based on this, we should [Select an answer the null hypothesis. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The data suggest the population proportion is not significantly different from 11% at a = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of convicted sex offender drug addicts who become…Historically it is known thatp = 36.3% of the population have a specified characteristic. A random sample of size n=500 is taken, and x=167 number of the population has the specified characteristic. Determine the value of the test statistic for the hypothesis test of one proportion with null hypothesis Ho: p = 36.3%. Enter your answer to two decimal places.You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Trump is 0.42. However, you think it is less than 0.42. The hypotheses you want to test are Null Hypothesis: p ≥ 0.42, Alternative Hypothesis: p < 0.42. You take a random sample around town and calculate a p-value for your hypothesis test of 0.7963. What is the appropriate conclusion? Conclude at the 5% level of significance. Question 4 options: 1) We did not find enough evidence to say the proportion of people who support President Trump is larger than 0.42. 2) We did not find enough evidence to say a significant difference exists between the proportion of people who support President Trump and 0.42 3) The proportion of people who support President Trump is significantly less than 0.42. 4) We did not find enough evidence to say the proportion of people who support…
- Suppose there is a claim that a certain population has a mean, 4, that is different than 9. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H1, as follows. Hg: 4= 9 H: u=9 Suppose you also know the following information. The value of the test statistic based on the sample is -2.044 (rounded to 3 decimal places). The p-value is 0.041 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2+ Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), which statement below is true? O since the p-value is less…Only about 15% of all people can wiggle their ears. Is this percent different for millionaires? Of the 398 millionaires surveyed, 40 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer > < ≠ = (please enter a decimal) H1:H1: ? μ p Select an answer < = ≠ > (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer fail to reject accept reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 15% at αα = 0.05, so there is statistically insignificant evidence to conclude that the…A researcher wants to study the performance of high school students of district Win the mathematics final exam. To study the performance, he uses the marks scored by the students in mathematics M as a function of the average number of hours spent by the student on practice H and number of days the student attended the mathematics class in school D. For his study, he selects a random sample of 150 high school students and estimates the following regression function: M= 10.25 + 2.25H+2.75D. The researcher wants to test whether or not changing the average number of hours spent by the student on practice has a statistically significant impact on the marks scored by the students in mathematics. Keeping the other variables constant, the null and the alternative hypotheses of the test conducted by the researcher are H, B, - 0 vs. H, B, #0. The test statistic for the test is 2.50. Therefore, the p-value of the test is (Round your answer to two decimal places.) v the null hypothesis. If the…
- The recidivism rate for convicted sex offenders is 14 %. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 330 convicted sex offenders who were also drug addicts, 33 of them became repeat offenders. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer The null and alternative hypotheses would be: Select an answer Ho: ? ✓ H₁: ? ✓ Select an answer ✓ (please enter a decimal) (Please enter a decimal) The test statistic The p-value= The p-value is ? a Based on this, we should Select an answer the null hypothesis. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The data suggest the populaton proportion is significantly lower than 14% at a = 0.10, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is…Generally speaking, would you say that most people can be trusted? A random sample of n1 = 252 people in Chicago ages 18-25 showed that r1 = 50 said yes. Another random sample of n2 = 271 people in Chicago ages 35-45 showed that r2 = 74 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use α = 0.05. (b) What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)I got 38.07 and I'm not sure why it's wrong
