In a previous year, 57% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 650 females aged 15 and older andfinds that 365 are living alone. Is there sufficient evidence at the x = 0.01 level of significance to conclude the proportion has changed?Because npo (1-Po) = 159.3 > 10, the sample size issatisfied(Round to one decimal place as needed.)Identify the null and alternative hypotheses for this test.Hoversus H₁(Type integers or decimals. Do not round.)less than5% of the population size, and the sampleISa random sample, all of the requirements for testing the hypothesisare

Answered: In a previous year, 57% of females aged…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 191, x = 5.89, s = 1.96. Use a 0.10 significance level to test the claim that the population mean of such ratings is less than 6.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P- value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: H=6.00 O B. Ho: H=6.00 H;:µ#6.00 H: µ>6.00 O C. Ho: H6.00 H1:µ<6.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to conclude that the mean of the population of ratings is 6.00.
A sample of 100 observations from a normal population has a mean of 50 and a standard deviation of 10. The null hypothesis is that the population mean is equal to 48, and the alternative hypothesis is that the population mean is greater than 48. Using a significance level of 0.05, what is the decision and conclusion of the hypothesis test?
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A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=15, x=137.33, s=24.12. Use a 0.01 significance level to test the claim that the population mean of such ratings is greater than 110. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.. The Hypotheses Test Ho:µ = 110 H1: Choose one of these A:u > 110 B: µ < 110 C: µ #110 Test statistic Choose one of these (A) t = 4.39; (B) z = = 4.39 P value < s.f. = 0.10 ( reject or do not reject) %3D (Round to three decimal places as needed. )
What is the null and alternative hypotheses for the average weight of dogs is 15.6 pounds?
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places. Hours 46 49 58 55 49 68 45 48 46 45 51 50 What are the correct hypotheses? H0: hoursH1: hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Hours 49 40 58 52 49 70 49 59 47 49 53 55 What are the correct hypotheses? H0: hoursH1: hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 1% level of significance. Give answer to at least 4 decimal places. Hours 45 50 60 50 48 61 54 49 50 48 55 50 (a) Determine the null and alternative hypotheses? Họ: Select an answer v hours H1: Select an answer hours (b) Determine the test statistic ? (c) Determine the p-value. p-value = (d) Make a decision. O Accept the alternative hypotheis Accept the null hypothesis Do not reject the null hypothesis O Reject the null hypothesis
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=15, ã=137.33, s=24.12. Use a 0.01 significance level to test the claim that the population mean of such ratings is greater than 110. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. The Hypotheses Test Ho: µ = 110 H1: Choose one of these A:u > 110 Β:μ< 110 C: µ + 110 Test statistic Choose one of these (A) t = 4.39; (B) z = 4.39 P value < s.f. = 0.10 ( reject or do not reject) (Round to three decimal places as needed. )
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Hours 48 43 58 51 45 62 47 55 49 49 52 53 a. What are the correct hypotheses? Ho: Select an answer H₁: Select an answer b. Test Statistic = Based on the hypotheses, find the following: c. p-value = ? 0 ? 0 d. The correct decision is to Select an answer Add Work hours hours e. The correct summary would be: Select an answer hours of all employees at start-up companies work more than the US mean of 47 hours. that the mean number of
The Woodcock-Johnson Cognitive Ability (WJCA) test indicates that the average score is 95. The same group of 12th grade students (n = 72) in Columbus are tested and the sample mean is 110.1 and the sample standard deviation is 15.2. Do the scores provide good evidence that the mean WJCA score of this population is greater than 95? State the null (H0) and alternative (Ha) hypotheses. 2. What are the confidence intervals for this data? 3. What is the value of the test statistic? 4. What is the p-value for this data? 5. What is your decision about the null hypothesis?: Reject Fail to Reject 6. Summarize the conclusion in the context of the problem.

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