A random sample of n1=135 individuals results in x1=40 successes. An independent sample of n2=160 individuals results in x2=60 successes. Does this represent sufficient evidence to conclude that p1
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A random sample of n1=135 individuals results in x1=40 successes. An independent sample of n2=160 individuals results in x2=60 successes. Does this represent sufficient evidence to conclude that p1<p2 at the α=0.05 level of significance?
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- You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly less than 0.75. You use a significance level of α=0.05 H0:p=0.75 H1:p<0.75You obtain a sample of size 223 in which there are 164 successes.What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)What is the p-value for this sample? (Report answer accurate to 4 decimal places.)This test statistic leads to a decision to reject the null accept the null fail to reject the null As such, the final conclusion is that there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is less than 0.75. there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is less than 0.75. there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is equal to 0.75. there is not sufficient evidence to conIn a random sample of 400 items where 84 were found to be defective, the null hypothesis that 20% of the items in the population are defective produced ZSTAT = +0.50. Suppose someone is testing the null hypothesis H₁ = 0.20 against the two-tail alternative hypothesis H₁: 10.20 and they choose the level of significance α=0.10. What is their statistical decision? What is the statistical decision? Determine the p-value. The p-value for the given ZSTAT is p-value= 0. (Type an integer or a decimal. Round to three decimal places as needed.)A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use α = 0.05. Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8 Entry failures 44 42 53 56 62 53 48 43 Exit failures 48 50 55 60 57 48 50 48 Click here for the Excel Data File (b) Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) (c) Find the critical value tcrit for α = 0.05. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) (d) Find the p-value. (Round your answer to 4 decimal places.) (e) State your conclusion. Automated Gate: Number of…
- You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 0.14. You use a significance level of α=0.001α=0.001. H0:p=0.14H0:p=0.14 H1:p>0.14H1:p>0.14You obtain a sample of size n=304n=304 in which there are 53 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is more than 0.14. There is not sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for…State the Result: A hypothesis test was conducted at the alpha = 0.01 level of significance. The test resulted in a p-value of 0.044.You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.85. You use a significance level of α=0.002α=0.002. H0:p=0.85H0:p=0.85 H1:p≠0.85H1:p≠0.85You obtain a sample of size n=415n=415 in which there are 361 successes.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
- A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use α = 0.05. Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8 Entry failures 44 42 53 56 62 53 48 43 Exit failures 48 50 55 60 57 48 50 48 Click here for the Excel Data File (a) Choose the appropriate hypotheses. Define the difference as Entry − Exit. multiple choice H0: μd = 0 versus H1: μd ≠ 0 H0: μd ≥ 0 versus H1: μd < 0 H0: μd ≤ 0 versus H1: μd > 0 Automated Gate: Number of Entry/Exit Failures Entry Exit In row format: Truck 1 44 48 Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8 Truck 2…Do adults (age 20–45) with children and adults without children have the same distribution of type of vehicle that is driven? In a large city, 130 randomly selected adults with children and 170 randomly selected adults without children were asked which type of car best describes the vehicle they primarily drive: car, truck, van, or SUV. A significance test will be conducted using the data to determine if there is convincing evidence at α = 0.05 that the distribution of type of vehicle driven differs between adults (age 20–45) with children and adults without children. What are the hypotheses for this test? H0: There is in the distribution of vehicle type driven between adults (aged 20–45) with children and adults without children. Ha: There is in the distribution of vehicle type driven between adults (aged 20–45) with children and adults without children.Only 16% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 327 randomly selected registered voters surveyed, 56 of them will vote in the upcoming election. What can be concluded at the αα = 0.05 level of significance? For this study, we should use: z-test for a population proportion or t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer ≠ < = > (please enter a decimal) H1:H1: ? p μ Select an answer > = ≠ < (Please enter a decimal) The test statistic ? z or t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer: accept, reject or fail to reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 16% at αα = 0.05, so there…
- A plan for an executive travelers’ club was developed by Epsilon Airline on the premise that 5% of its customers would qualify for membership. You suspect it’s less than 5%. A random sample of 500 customers yields 18 who would qualify. Using this result to test at significance level α = 0.01 the null hypothesis that the airline’s premise is correct against the alternative that the proportion is less than the claimed 5%.A two-sample t-test for a difference in means was conducted to investigate whether the average wait time at a fast food restaurant in Town A was longer than the average wait time at a fast food restaurant in Town B. With all conditions for inference met, the test produced a test statistic of t=2.42 and a p-value of 0.011. Based on the p-value and a significance level of α=0.02, which of the following is a correct conclusion? There is convincing statistical evidence that the average wait times at the two restaurants are the same. A There is convincing statistical evidence that the average wait time at the restaurant in Town A is longer than the average wait time at the restaurant in Town B. B There is convincing statistical evidence that the average wait times at the two restaurants are different. C There is not convincing statistical evidence that the average wait times at the two restaurants are the same. D There is not convincing statistical…Researchers conducted an experiment in which people with a certain condition were given either a drug or a placebo to treat the condition. At the significance level of α=0.01α=0.01, a test of the following hypotheses was conducted. H0:pD=pPHa:pD>pPH0:pD=pPHa:pD>pP In the hypotheses, pDpD represents the proportion of all people who experience an allergic reaction while taking the drug, and pPpP represents the proportion of all people who experience an allergic reaction while taking the placebo. All conditions for inference were met, and the resulting pp-value was 0.12. Which of the following is the correct decision for the test? The pp-value is less than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of people with an allergic reaction will be greater for those taking the drug than for those taking the placebo. A The pp-value is less than αα, and the null hypothesis is rejected. There is…