In a small town in Colorado, it was found that 54% of the population support Candidate Randy. In a randomsample of 180 residents of this small town, it was found that 85 of them support Randy. Perform a test todetermine if less than 54% of the population support Randy. Use a significance level of 0.01%.a. Check all of the requirements that are satisfied.✔randomO theO the✔ theorb. Identify the null and alternative hypotheses. Enter the parameter as a decimal.Ho: PH₁: pdistribution is normal since n > 30distribution is normal since the distribution is normaldistribution is normal since np > 10 and ng > 1008Dr0.540.5408Orc. What type of hypothesis test should you conduct (left, right, or two-tailed)?Ⓒleft-tailedOright-tailedtwo-tailedd. Identify the appropriate significance level. Make sure to enter your answer as a decimal.e. Which calculator function should you use? 1-PropZ Test Yf. Find the test statistic. Write the result below, and be sure to round your final answer to two decimalplaces.g. Find the p-value. Enter your answer as a decimal (not a percentage) and round to 4 decimal places.

For the given data Perform z test for one proportion

Answered: In a small town in Colorado, it was…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CT: Chapter Test

Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.

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Similar questions

What is meant by the sample space of an experiment?
Show the sample space of the experiment: toss a fair coin three times.
List the sample space of each experiment. Tossing three coins
What is a sample space?
List the sample space of each experiment. Picking a one-digit number
An exercise science student believes that during professional rugby games the average distance covered by a winger and the average distance covered by a back are different. When reviewing game statistics the student found that the average distance covered by a random sample of 17 wingers was 11.09, and the average distance covered by a random sample of 20 backs 7.21. What is the null hypothesis for this study?
Just before the 2004 Democratic National convention, Rasmussen Reports polled 1500 likely voters at random and found that 705 favored John Kerry. Just after the convention, they took another random sample of 1500 likely voters and found that 735 favored Kerry. Did Kerry’s favorability rating increase after the national convention? Use a significance level of ? = 0.05. a) Give the name of the hypothesis test that would be appropriate for this situation. b) State the hypotheses in symbols. c) Use your calculator to perform the appropriate hypothesis test and report the test statistic and p-value. Be sure to write out what you entered in your calculator
A brokerage firm is curious about the proportion of clients who have high-risk stocks in their stock portfolio. Let the proportion of clients who have high-risk stocks be p. If the brokerage firm wants to know if the proportion of clients who have high-risk stocks is less than 15%, what are the null and alternative hypotheses?
Nancy, an economist, would like to make the claim that the average weekly grocery budget for households in a small U.S. city is less than $253. Nancy samples 18 households in the same city and obtains a sample mean of $229.60 spent on groceries per week. At the 2.5% significance level, should Nancy reject or fail to reject the null hypothesis given the sample data below? H0:μ=$253 per week; Ha:μ<$253 per week α=0.025 (significance level) test statistic=−0.75 Then set the α and the test statistic to find the p-value. Use the results to determine whether to reject or fail to reject the null hypothesis.
A company that produces snack foods uses a machine to package 454g bags of pretzels. The hypotheses are as follows: Ho : µ = 454g (the packaging machine is working properly) Ha : µ ≠ 454g (the packaging machine is not working properly) Suppose that the results of the sampling lead to accepting of the null hypothesis. Classify the conclusion as a Type I Error, Type II Error, or a correct decision, if in fact the mean net weight is not equal to 454g.
The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 115 employees in the private sector showed that 32 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal civilian sector? Use α = 0.05. State the null and alternate hypotheses. H0: μ = 0.36; H1: μ < 0.36H0: p = 0.36; H1: p > 0.36 H0: p = 0.36; H1: p < 0.36H0: p = 0.36; H1: p ≠ 0.36H0: μ = 0.36; H1: μ > 0.36H0: μ = 0.36; H1: μ ≠ 0.36 (b) What sampling distribution will you use? What assumptions are you making? The standard normal, since np < 5 and nq < 5.The Student's t, since np > 5 and nq > 5. The Student's t, since np < 5 and nq < 5.The standard normal, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal…
an airline promotion to business travelers is based on the assumption that two-thirds ofbusiness travelers use a laptop computer on overnight business trips.a. State the hypotheses that can be used to test the assumption.b. what is the sample proportion from an american express sponsored survey thatfound 355 of 546 business travelers use a laptop computer on overnight businesstrips?

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