A well-known brokerage firm executive claimed that 50% of investors are currently confident of meeting their investment goals. But you believe that the proportion of people who are confident is smaller than 50%, and decide to test your claim at the 0.05 significance level. Your survey, conducted over a two week period, found that in a sample of 500 people, 43% of them said they are confident of meeting their goals. The null and alternative hypothesis would be: Ho :p 2 0.5 Ho:p < 0.5 Ho:p = 0.5 HA:p < 0.5 HA:p > 0.5 HA:p # 0.5 The test is: two-tailed left-tailed right-tailed The test statistic is: (to two decimals) The p-value is: (to four decimals) Based on this we fail to reject the null hypothesis, Ho reject the null hypothesis, Ho

A well-known brokerage firm executive claimed that 50% of investors are currently confident of meeting their investment goals. But you believe that the proportion of people who are confident is smaller than 50%, and decide to test your claim at the 0.05 significance level. Your survey, conducted over a two week period, found that in a sample of 500 people, 43% of them said they are confident of meeting their goals. The null and alternative hypothesis would be: Ho :p 2 0.5 Ho:p < 0.5 Ho:p = 0.5 HA:p < 0.5 HA:p > 0.5 HA:p # 0.5 The test is: two-tailed left-tailed right-tailed The test statistic is: (to two decimals) The p-value is: (to four decimals) Based on this we fail to reject the null hypothesis, Ho reject the null hypothesis, Ho

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Four drug companies are studying the effect of their new drugs. In its clinical trials, company A used a one tailed test with a significance level of .01; company B used a one tailed test with a significant level of 0.05; company C used a two tailed test with a significant level of 0.01 and company D used a two tailed test with a significant level of 0.05. Which of the following statement is correct? Company A is more likely to reject the null hypothesis (H0) than company B Company A is more likely to reject the null hypothesis (H0) than company C Company D is more likely to reject the null hypothesis (H0) than company B Company D is more likely to reject the null hypothesis (H0) than company C
Consider a hypothesis testing situation in which the null hypothesis is p = 0.48 and the alternative is p > 0.48. Data is gathered from a random sample, and calculations yield a value of z = 2.5. Which one of the following conclusions can be drawn based on this information? The P-value is larger than 0.10. There is a 2.5% chance that the null hypothesis is true. The value of 0.48 is called a statistic. The sample size must have been large. None of the above answers are correct.
Internet tax: The Gallup Poll asked 1043 U.S. adults whether they believed that people should pay sales tax on items purchased over the internet. Of these, 407 said they supported such a tax. Does the survey provide convincing evidence that the percentage of U.S. adults who favor an internet sales tax differs from 40%? Use the a = 0.05 level of significance. Part 1 of 5 State the appropriate null and alternate hypotheses. Ho: p = 0.40 H:p = 0.40 This hypothesis test is a two-tailed test. Part: 1/5 Part 2 of 5 Find the critical values. Round the answers to at least three decimal places. For a = 0.05, the critical values are and
The Gallup Poll asked 1015 U.S. adults whether they believed that people should pay sales tax on items purchased over the internet. Of these, 477 said they supported such a tax. Does the survey provide convincing evidence that less than 42% of U.S. adults favor an internet sales tax? Use the 0.05 level of significance. 1. STATE THE NULL AND ALTERNATIVE HYPOTHESIS: 2. T STATISTIC/ P VALUE 3.REJECT OR FAIL THE NULL HYPOTHESIS 4. IS THE CLAIM SUPPORTED AT THE 0.05 LEVEL OF SIGNIFICANCE?
Historically, the proportion of students entering a university who finished in 4 years or less was 65%. To test whether this proportion has decreased, 150 students were examined and 58% had finished in 4 years or less. At the 5% level of significance, does it appear the proportion has decreased from its historical level? To determine whether the proportion of students who finish in 4 year or less has statistically significantly decreased, what is the null and alternative hypothesis?
Suppose that the proportion of investors who are risk-averse (that is, try to avoid risk in their investment decisions) is though to be at least 0.6. A financial advisor believes that the proportion is actually less than 0.6. A survey of 28 investors found that 16 of them were risk-averse. Formulate a one-sample hypothesis test for a proportion to test this belief. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Ho 2 0.6 H₁ 0.6 (Type integers or decimals. Do not round.) Compute the test statistic. (Round to two decimal places as needed.) 4 D
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 72% at a level of significance of a = 0.10. According to your sample, 63 out of 83 potential voters prefer the Democratic candidate. a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: v Select an answer v (please enter a decimal) H1: ? v Select an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 72% at a = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 72%. O The data suggest the…
Determine whether the results below appear to have statistical significance, and also determine whether the results have practical significance. In a study of a weight loss program, 6 subjects lost an average of 49 lbs. It is found that there is about a 23% chance of getting such results with a diet that has no effect. (... Does the weight loss program have statistical significance? OA. Yes, the program is statistically significant because the results are unlikely to occur by chance. OB. Yes, the program is statistically significant because the results are likely to occur by chance. OC. No, the program is not statistically significant because the results are likely to occur by chance. O D. No, the program is not statistically significant because the results are unlikely to occur by chance. Does the weight loss program have practical significance? O A. No, the program is not practically significant because the amount of weight lost is trivial. O B. Yes, the program is practically…
Which of the following statements is true regarding the influence of a small alpha level in the context of hypothesis testing? a. A small alpha level reduces the likelihood of a Type I error. b. A small alpha level reduces the effect size. c. A small alpha level increases statistical power. d. A small alpha level increases the likelihood of detecting statistical significance.
In a random sample of 200 auditors, 104 agreed to some extent with the following statement: "Cash flow is an important indicator of profitability". Consider the null hypothesis that at least half of the members of this population would agree with this statement. When testing this hypothesis, the p-value was found to be 0.2858. According to this value, what decision would you make regarding whether or not to reject the null hypothesis. Write clearly the hypotheses of this problem.
Suppose that the proportion of investors who are risk-averse (that is, try to avoid risk in their investment decisions) is though to be at least 0.6. A financial advisor believes that the proportion is actually less than 0.6. A survey of 30 investors found that 18 of them were risk-averse. Formulate a one-sample hypothesis test for a proportion to test this belief. ..... Determine the null hypothesis, H,, and the alternative hypothesis, H,. 2 0.6 < 0.6 Ho: I H,: I (Type integers or decimals. Do not round.) Compute the test statistic. (Round to two decimal places as needed.)
It has been reported in the past that the probability that an individual will develop schizophrenia over their lifetime is 0.004. A researcher believes that this proportion has increases since then. She found out that in a random sample of 2500 individuals, 16 developed schizophrenia. Is there evidence to support the claim that the true proportion of people who will develop schizophrenia is greater 0.004? Use hypothesis testing at a = 0.10 level of significance to answer this question. a. State the null and alternative hypotheses. b. What is the probability model (underlying distribution of the sample proportion p)? c. Compute p. d. Compute the test statistic. e. Find the P-value. f. Make the decision whether to reject Ho or not. g. State a conclusion answering the question above. 1