H0: μd >, =, ≠, or < ______________ cm (Type an integers or decimals. Do not round.) H1: μd >, =, ≠, or < ______________ cm (Type an integers or decimals. Do not round.)
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H0: μd >, =, ≠, or < ______________ cm (Type an integers or decimals. Do not round.)
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- Next, compute the test statistic. t= (Round to three decimal places as needed.) Finally, determine the P-value. p= (Round to four decimal places as needed.) What is the conclusion of the hypothesis test? Since the P-value is ▼ greater equal to or less than α, ▼ do not reject reject H0. b. The 99% confidence interval is from_____ to_____ (Round to three decimal places as needed.)The National Center for Education Statistics reports that the high school dropout rate is 5.3%. Due to tougher standards and high-stakes tests, teachers in New York State believe that the high school dropout rate in New York State differs from the national rate. a. Define the relevant parameter and state the null and alternative hypothesis. b. The teachers select a random sample and construct a 95% confidence interval of (0.049, 0.061). Using the confidence interval, what is the conclusion of the test? Include an indication of the significance level. c. State the conclusion of test in context.A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standard deviation were calculated. Based on the results, the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 6% of 80%. Is the confidence interval at 90%, 95%, or 99%? What is the margin of error? Calculate the confidence interval and explain what it means in terms of the situation.
- Determine which type of confidence interval is appropriate (if any) in each situation. Type 1: estimate a population mean, population standard deviation is known Type 2: estimate a population mean, population standard deviation is unknown Type 3: estimate of a population proportion If one of the above is appropriate, compute the confidence interval. Answers may be rounded to 3 decimal places. If none of the above are appropriate, state why. A random sample of 28 customers at a gas station shows an average gas purchase of 8.9 gallons with a standard deviation of 3.2 gallons. Find the 98% confidence interval estimating the population mean number of gallons purchased at this station. Interpret this result.Determine which type of confidence interval is appropriate (if any) in each situation. Type 1: estimate a population mean, population standard deviation is known Type 2: estimate a population mean, population standard deviation is unknown Type 3: estimate of a population proportion If one of the above is appropriate, compute the confidence interval. Answers may be rounded to 3 decimal places. If none of the above are appropriate, state why. The Human Resources Department for Acme Co. is interested in determining the percentage of all employees from the company that have more than one home computer. In a survey of 492 employees, 27% indicated that they own more than one home computer. Develop a 90% confidence interval for the proportion of all Acme Co. employees with more than one home computer.Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. Does the confidence interval support the conclusion found with the hypothesis test? YES/NO because the confidence interval contain ONLY/POSITIVE VALUES/ONLY NEGATIVE VALUES/ZERO
- The state education commission wants to estimate the fraction of tenth-grade students that have reading skills at or below the eighth-grade level. Step 2 of 2 : Suppose a sample of 1134 tenth graders is drawn. Of the students sampled, 226 read at or below the eighth-grade level. Using the data, construct the 99% confidence interval for the population proportion of tenth graders reading at or below the eighth-grade level. Round your answers to three decimal places.Suppose you have a sample of 25 observations in which the average age of residents is 37 years and the standard deviation is 6.047 years. A friend tells you that the average resident is 35 years old. Formally state the hypothesis test you would use to test whether your friend is wrong. Use a two-tailed test. Using the confidence interval method, test your hypothesis at the 99% confidence level. Explicitly state the results of the test. Using the t-test method, determine at which conventional significance levels you can reject the null hypothesis and refute your friend’s claim (if any).A Professor wishes to analyse the marks obtained by the students of his class in an exam. He finds the mean of the marks of all students to be 75. However, a student believes the mean to be different. He analyses the marks of 7 students from the class and finds the mean to be 78 and standard deviation to be 10. State the null and alternative hypotheses. At a confidence interval of 99%, is there enough evidence to discard the null hypothesis? Use the p-value method.
- The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2: Suppose a sample of 383 tenth graders is drawn. Of the students sampled, 84 read at or below the eighth grade level. Using the data, construct the 85% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.9- Identify the test statistic. Identify the P-value. What is the conclusion based on the hypothesis test? b. Test the claim by constructing an appropriate confidence interval. What is the conclusion based on the confidence interval? c. Based on the results, is the rate of left-handedness among males less than the rate of left-handedness amongfemales?Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided. Lower bound=0.278, upper bound=0.682, n=1200 Question content area bottom Part 1 The point estimate of the population proportion is enter your response here. (Round to the nearest thousandth as needed.) Part 2 The margin of error is enter your response here. (Round to the nearest thousandth as needed.) Part 3 The number of individuals in the sample with the specified characteristic is enter your response here. (Round to the nearest integer as needed.)