MATLAB: An Introduction with Applications
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Suppose that you want to conduct a left-tailed hypothesis test at the 5% significance level. How must the critical value be chosen?
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- Suppose a hypothesis test was performed with a level of significance of 0.05. Then if the null hypothesis is actually true, then there is a 5% chance that the researcher will end up rejecting the null hypothesis in error. True Falsearrow_forwardUSA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1008 Chevrolet owners and found that 487 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use ? = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: p > 0.47; H1: p = 0.47H0: p = 0.47; H1: p ≠ 0.47 H0: p = 0.47; H1: p < 0.47H0: p = 0.47; H1: p > 0.47 (b) What sampling distribution will you use? The standard normal, since np < 5 and nq < 5.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. What is the value of the sample test statistic? (Round your answer to two decimal places.)(c) Find the P-value of the test statistic. (Round your answer to four…arrow_forwardFor the situation described below, indicate whether it makes more sense to use a relatively large significance level (such as α = 0.10) or a relatively small significance level (such as α = 0.01). Testing to see if a large investment firm is participating in the illegal prac- tice of insider trading. If there is evidence, the Securities and Exchange Commission will file a lawsuit against them.arrow_forward
- You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly smaller than 68% at a significance level of αα = 0.05. According to your sample, 52 out of 82 potential voters prefer Candidate A. The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)arrow_forwardHOw would you figure this out?arrow_forwardYou 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 conarrow_forward
- Is there a relationship between the number of votes received by candidates for public office and the amount spent on their campaigns? Candidate Amount spent (000) Votes received (000)Weber $3 14Taite $4 7Spencer $2 5Lopez $5 12Using a 0.01 significance level, do the formal hypothesis test (using critical values).Remember to show your steps (including all relevant information) show the steps on how to solve itarrow_forwardYou are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.57. You use a significance level of a = 0.001. Ho:p = 0.57 H1:p > 0.57 You obtain a sample of size n = 331 in which there are 211 successes.arrow_forwardYou are conducting a study to see if the proportion of voters who prefer Candidate A is significantly less than 0.52. You use a significance level of a = 0.01. Ho:p = 0.52 H1:p < 0.52 You obtain a sample of size n = 414 in which there are 208 successes. 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) a greater than a This p-value leads to a decision to... reject the null accept the null O fail to reject the nullarrow_forward
- You are conducting a hypothesis test where alternative (research) hypothesis is that mu is greater than 850. You are testing at the 0.01 significance level. You take a sample of size 64 and calculate your test statistic to be -1.50. What would your test statistic be if you were testing, instead, at the 0.10 significance level?arrow_forwardYou are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.16. You use a significance level of a = 0.01. Но:р — 0.16 H1:p > 0.16 You obtain a sample of size n = 621 in which there are 104 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... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O accept the null Ofail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is more than 0.16. O There is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is more than 0.16. O The sample data support the claim that the…arrow_forwardIs this p-value significant at the 10% significance level? Is it significant at the 5% significance level? Compare the answers to these questions to your answers to parts (g) and (i) in two complete sentences.arrow_forward
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