Complete the following statements: hypothesis is a statement about the population parameter whic 1. The will be rejected only if the sample data provide substantial contradictory evidence 2. А Туре is, in fact, false. 3. If the p-value is Error occurs when the decision maker fails to reject the null hypothesis whe than the significance level, then the null hypothesis is not rejec
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- What is meant by the sample space of an experiment?develop a research question that can be addressed with the dependent-samples t test, making sure to state the null and alternative hypotheses (in words)develop a research question that can be addressed with the independent (not a dependent /paired-samples t test) making sure to state the null and alternative hypotheses (in words)
- The school registrar estimates that the dropout rate of senior high schools in Cavite is 47%. Last year, 187 freshmen from a random sample of 10 Cavite senior high school withdrew. At 5% significance level, is there enough evidence to reject the registrar's claim? Step 1: State the hypothesesStep 2: The level of significance, one/two-tailed test, degrees of freedom (if applicable)Step3: Statistical TestStep 4: ComputationStep 5: Decision RuleStep 6: Reject null hypothesis or failed to rejectStep 7: ConclusionThe mean work week for engineers in a start-up company is believed to be about 60 hours,on average. A newly hired engineer hopes that it’s shorter. She asks ten engineering friends instart-ups for the lengths of their mean work weeks. The sample average was 58.1 hours and thestandard deviation was 3.4 hours. Should she count on the mean work week to be shorter than60 hours? Conduct a hypothesis test at the 5% significance level. Show all stepsA vehicle is advertised as having a gas mileage rating of at least 30 miles/gallon in highway driving. The miles per gallon obtained in 10 independent experiments are: 24, 25, 26, 20, 27, 25, 28, 26, 30, 33 For the null hypotheses µ ≥ 30, what is the significance level at which it can be accepted?
- To decide whether the variation among sample mean ranks is large enough to warrant rejection of the null hypothesis of equal population means, we use the ratio of_________to________. This ratio is called the -statistic.According to a survey, the average age at which American men get married is 30. To test if men in Houston marry at a lower age than the national average, a researcher decides to do a hypothesis test, at a 10% significance level. He surveys 16 randomly selected married men in Houston and asks them about the age at which they got married. From the data, the sample mean age is 28.3, and the sample standard deviation (s) is 1.3. H0: μ≤30; Ha: μ>30. α=0.1 (significance level) What is the test statistic (t-value) of this one-mean hypothesis test (with σ unknown)? Round your final answer to two decimal places.The owner of a machine shop must decide which of two snack-vending machines to install in his shop. If each machine tested 250 times, the first machine fails to work (neither delivers the snack nor returns the money) 13 times, and the second machine fails to work 7 times, test at the 0.05 level of significance whether the difference between the corresponding sample proportions is significant.
- An information technology help desk has a service level agreement (SLA) that says that clients should be contacted about their service requests within 1 hour (60 minutes) of the help desk receiving the request. Jackie, the help desk manager, wants to check if the help desk is actually taking longer than 60 minutes to respond. For a random sample of 20 service requests, Jackie obtained the time between the help desk receiving the request and the client being contacted. The marketer conducts a one-mean hypothesis at the 5% significance level, to test whether the response time is greater than 60 minutes. (a) Which answer choice shows the correct null and alternative hypotheses for this test? Select the correct answer below: H0:μ=20; Ha:μ<20, which is a left-tailed test. H0:μ=60; Ha:μ<60, which is a left-tailed test. H0:μ=20; Ha:μ>20, which is a right-tailed test. H0:μ=60; Ha:μ>60, which is a right-tailed test.Suppose an economist wishes to estimate the mean commute time of workers in Westchester County. The economist obtains a random sample of 31 commutes in Westchester County and finds the sample mean to be 31.2 minutes and the sample standard deviation to be 12.1 minutes. Construct and interpret a 90% confidence interval for the mean commute time in Westchester County. Construct and interpret a 95% confidence interval for the mean commute time in Westchester County.A survey and research company claims that TV network A garnered 31% audience satisfaction. To test the claim, TV network A conducted a survey from 2000 randomly selected viewers all over the country with a 0.05 significance level. Which of the following is the correct null and alternative hypothesis?