2. MSOE administration is interested in finding out that majority (over 50 percent) ofstudents in MSOE is from Wisconsin. They collected a random sample of 68students, and 42 students were from WI. Can we conclude that the proportion islarger than 0.5? Please use the level of the significance alpha = 0.01.(a) State the appropriate hypothesis.(b) Check the conditions.(c) Calculate the standardized test statistic(d) Calculate the p-value(e) State the conclusion.

Answered: 2. MSOE administration is interested in…

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 major credit card company is interested in the proportion of individuals who use a competitor’s credit card. Their null hypothesis is H0: p=0.65H0: p=0.65, and based on a sample they find a sample proportion of 0.70 and a pp-value of 0.053. Is there convincing statistical evidence at the 0.05 level of significance that the true proportion of individuals who use the competitor’s card is actually greater than 0.65 ?
A major credit card company is interested in the proportion of individuals who use a competitor’s credit card. Their null hypothesis is H0: p=0.65H0: p=0.65, and based on a sample they find a sample proportion of 0.70 and a pp-value of 0.053. Is there convincing statistical evidence at the 0.05 level of significance that the true proportion of individuals who use the competitor’s card is actually greater than 0.65 ? Yes, because the sample proportion 0.70 is greater than the hypothesized proportion 0.65. A Yes, because the pp-value 0.053 is greater than the significance level 0.05. B No, because the sample proportion 0.70 is greater than the hypothesized proportion 0.65. C No, since the sample proportion 0.70 is exactly 0.05 away from the hypothesized proportion 0.65. D No, because the pp-value 0.053 is greater than the significance level 0.05.
A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 80 men, 30% owned cats. In the second sample of 60 women, 55% owned cats. Test the veterinarian's belief at the α=0.05α=0.05 significance level. Preliminary: Is it safe to assume that nmen≤5%nmen≤5% of all men and nwomen≤5%nwomen≤5% of all women? Yes No Verify nˆp(1−ˆp)≥10.np^(1-p^)≥10. Round your answer to one decimal place.nmenˆp(1−ˆp)=nmenp^(1-p^)= nwomenˆp(1−ˆp)=nwomenp^(1-p^)= Test the claim: Determine the null and alternative hypotheses. H0H0: pmenpmen pwomenpwomen HaHa: pmenpmen pwomenpwomen The hypothesis test is left-tailed two-tailed right-tailed Determine the test statistic. Round to two decimal places.x=x= Find the pp-value.…
b) The manager of the Postal Services claims that 98 percent of their mail are delivered ontime. He wants to test at the 1% significance level to determine whether the true proportionis less than 98 percent ii. Determine the critical value(s) of this test.
What would you conclude based on an α=0.05 level? We reject the null hypothesis and do not accept the alternative hypothesis since there is sufficient evidence that the proportion of all vehicles that meet or exceed current fuel economy standards is greater than 90% due to the p-value being greater than the α level. Explain the results of your hypothesis test. What does the p-value signify? Would you say the observed outcome was unusual? If so, how unusual was the outcome?
A random sample of 170 donations at a certain blood bank reveals that 84 were Type A blood. Does this suggest that the actual percentage of Type A donations differs from 45%, of the population having Type A blood? A. State H0 and Ha B. Test the hypothesis using the P-Value approach at a significance level of 3%, and express your decision. C Based on the given data, determine the extreme value without rejecting the H0.
a) Justify the choice of test procedure. b) Can a student's t-test on paired samples be used as a test procedure for the given problem? Why or why not? c) Give the appropriate conclusion at 5% level of significance: At alpha = 0.05, ______.
You want to conduct a test to determine whether there are significant differences in the mean impurity levels for polymers produced with three different catalysts. Which statistical test is appropriate for this scenario? Select one: a. paired t test b. one-sample t test c. one-way ANOVA d. two-sample t test
Two types of flares are tested for their burning times ( in minutes ) and sample results aregiven below: Brand X: n1= 35 x1= 19.4 s1 = 1.4Brand Y: n2 = 40 x2 = 15.1 s2 = 0.3 Refer to the sample data to test the claim that the two populations have equal means. Use a 0.05 significance level.
Independent random samples of 32 people living on the west side of a city and 30 people living on the east side of a city were taken to determine if the income levels of west side residents are significantly different from the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are significantly different from the income levels of east side residents, at the 2% significance level. H0:μw=μeHa:μw≠μe t0=2.364 t0.01=±2.099 Select the correct answer below: No; the test statistic is not between the critical values. No; the test statistic is between the critical values. Yes; the test statistic is not between the critical values. Yes; the test statistic is between the critical values.
Is the proportion of wildfires caused by humans in the south different from the proportion of wildfires caused by humans in the west? 394 of the 533 randomly selected wildfires looked at in the south were caused by humans while 388 of the 554 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the = 0.01 level of significance? For this study, we should use Select an answer z-test for the difference between two population proportions t-test for the difference between two dependent population means z-test for a population proportion t-test for the difference between two independent population means t-test for a population mean The null and alternative hypotheses would be: Select an answer p1 μ1 Select an answer > ≠ < = Select an answer μ2 p2 (please enter a decimal) Select an answer p1 μ1 Select an answer > = < ≠ Select an answer p2 μ2 (Please enter a decimal) The test statistic ? z t = (please show your…
Recently, a large academic medical center determined that 7 of 15 employees in a particular position were male,whereas 56% of the employees for this position in the general workforce were male. At the 0.01 level of significance, is there evidence that the proportion of males in this position at this medical center is different from what would be expected in the general workforce? What are the correct hypotheses to test to determine if the proportion is different? A. H0:π≥0.56; H1:π<0.56 B. H0:π=0.56; H1:π≠0.56 C.H0:π≤0.56; H1:π>0.56 D.H0:π≠0.56; H1:π=0.56 Part 2 Calculate the test statistic. ZSTAT=enter your response here (Type an integer or a decimal. Round to two decimal places as needed.) Part 3 What is the p-value? The p-value is..... (Type an integer or a decimal. Round to three decimal places as needed.) State conclusion of test Reject/Do not reject the null hypothesis. There is sufficient/insufficient evidence to…

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