When using the p-value method, the null hypothesis is rejected when the calculated p-value _____α.
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16) When using the p-value method, the null hypothesis is rejected when the calculated p-value _____α.
To make a decision about rejection or acceptance of null hypothesis we compare p-value and level of significance.
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- 14% of all college students volunteer their time. Is the percentage of college students who are volunteers different for students receiving financial aid? Of the 363 randomly selected students who receive financial aid, 40 of them volunteered their time. What can be concluded at the αα = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: (please enter a decimal) H1:H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 14% at αα = 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 14%. The data suggest the populaton…A manufacture of flash drives for data storage operates a production facility that runs on three 8-hour shifts per day. The following contingency table shows the number of flash drives that were defective and not defective from each shift. Shift Defective Not Defective 7AM – 3PM 7 113 3PM – 11PM 10 90 11PM – 7AM 4 76 Perform a hypothesis test to determine if the quality of the flash drive production and the production shift are independent variables using a = 0.05.You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:p1=p2 Ha:p1≠p2You obtain 53% successes in a sample of size n1=481 from the first population. You obtain 54.9% successes in a sample of size n2=284 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.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 =
- Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class: Finance Majors Business Analytics Majors n1 = 140 n2 = 30 x1 = $48,137 x2 = $55,417 s1 = $19,000 s2 = $10,000 (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use ? = 0.05. (Let ?1 = the population mean salary for Finance majors, and let ?2 = the population mean salary for Business Analytics majors. Enter != for ≠ as needed.) H0: μ1≥μ2 Ha: μ1<μ2 (b) What is the value of the test statistic? (Use ?1 − ?2. Round your answer to three decimal places.) (c) What is the p-value? (Round your answer to four decimal places.) p-value =According to data only 32% of Americans are saving for retirement in a 401(k). A random sample of 340 Americans was recently selected, and it was found that 118 of them made contributions to their 401(k) plans this year. a. Using α = 0.01, conduct a hypothesis test to determine if the percentage of Americans who have made contributions to their 401(k) plans this year is more than 32%. Be sure to clearly state your conclusions. b. Perform the same hypothesis test two more times, using α = 0.05 and α = 0.10, respectively. Have your conclusions changed based on either of these two new tests? c. How would the hypothesis test have been different if all you wanted to determine was that the percentage of Americans who have made contributions to their 401(k) plans this year is different from 32%? Perform this test at the α = 0.05 significance level and state your conclusions.Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class: Finance Majors Business Analytics Majors = 140 n2 = 30 X1 = $48,137 X2 = $55,217 S1 $19,000 S2 $10,000 %3D (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use = 0.05. (Let µ, = the population mean salary for Finance majors, and let u, = the population mean salary for Business Analytics majors. Enter != for + as needed.) Ho: Ha: (b) What is the value of the test statistic? (Use u, uz. Round your answer to three decimal places.) (c) What is the p-value? (Round your answer to four decimal places.) p-value %3D
- Suppose that a researcher decides that he MUST obtain a Type 1 error level of no more than 0.01 in order to reject the null hypothesis. After analyzing his data he finds that the results are significant at p = 0.05 but not at p = 0.01. If he is not able to change the maximum allowed Type 1 error level, then the researcher should Question 5 options: retain the null hypothesis because 0.05 is greater than 0.01. retain the null hypothesis because 0.05 is merely sampling error. reject the null hypothesis because 0.05 is close to 0.01. reject the null hypothesis because 0.05 is greater than 0.01.Suppose you want to test the claim that 4If the α-level (alpha level) is made larger, then: Group of answer choices The P-value will be smaller, as well. The hypothesis test will most likely be two-sided. The null hypothesis is less likely to be rejected. The null hypothesis is more likely to be rejected.80% of all supermarket prices end in a 9 or a 5. Suppose you check a random sample of 113 items and find that 84 have prices that end in a 9 or 5. Does that indicate that fewer than 80% of the prices end in a 9 or a 5? Use alpha=0.05 State the null and alternet hypotheses.Only 19% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 363 randomly selected registered voters surveyed, 91 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: _______ (please enter a decimal) H1:H1: ________ (Please enter a decimal)20% of all college students volunteer their time. Is the percentage of college students who are volunteers larger for students receiving financial aid? Of the 366 randomly selected students who receive financial aid, 77 of them volunteered their time. What can be concluded at the αα = 0.10 level of significance? The null and alternative hypotheses would be: H0:H0: p = __?__ (please enter a decimal) H1:H1: p > __?__ (Please enter a decimal) The test statistic z = __?__ (please show your answer to 3 decimal places.) The p-value = __?__(Please show your answer to 4 decimal places.)SEE MORE QUESTIONS
