Which will NOT lead to the rejection of null hypothesis? a)when the confidence interval contains the hypothesized value b)when p value is less than the significance level alpha c)when the test statistic falls in the critical region d) when the confidence interval does not contain the hypothesized value

Which will NOT lead to the rejection of null hypothesis? a)when the confidence interval contains the hypothesized value b)when p value is less than the significance level alpha c)when the test statistic falls in the critical region d) when the confidence interval does not contain the hypothesized value

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Approval 2011 In November 2011, Barack Obama’s approval rating stood at 45% in Rasmussen’s daily track-ing poll of 1500 randomly surveyed U.S. adults. a) Make a 95% confidence interval for his approvalrating by all U.S. adults. b) Based on the confidence interval, test the null hypoth-esis that Obama’s approval rating was no worse than his November 2009 approval rating of 50%.
the p value is (less then, greater then) the significance of =0.05, so (reject, fail to reject) the null hypothesis. there, (is, is not) sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts. Because the confidence interval limits, (include, do not include) 0, it appears that the two fatality rates are (equal, not equal) because the confidence interval limits include, (positive and negative, only positive, only negative) values it appears that the fatality rate is (lower, higher, the same) for those not wearing seat belts.
Which of the following is NOT true when comparing the mean differences between two independent populations when the population standard deviations are unknown and not equal? a) The null hypothesis is #1-42=0 b) When making an inference about the two means, the P-value and traditional methods of hypothesis testing result in the same conclusion as the confidence interval method. c) When the confidence interval of the difference between the two population means contains 0, that means there is no significant difference between the two population means d) We should use the Z-test
An insurance company reported that, on average, claims for a certain medical procedure are $942. An independent organization constructed a 95% confidence interval of ($930 , $950) for the average amount claimed for the particular medical procedure. What conclusion best evaluates the truthfulness of the number reported by the insurance company? a) With 95% certainty, the average claim for this medical procedure is $942.b) With 95% certainty, the average claim for this medical procedure is not $942.c) The confidence interval is consistent with an average claim of $942 for this medical procedure.d) With 100% certainty, the average claim for this medical procedure is $942
Bubblehub candy has recently released a new flavor of gum named "Berry Blast". Bubblehub claims that 3 out of 10 people prefer the new "Berry Blast" flavor over their original flavor, "Pink Party". Test this claim at the 90% confidence interval. a) What are the alternative and null hypothesis? b) In words, the null hypothesis would be: Based on a sample of 420 customers, 111 of them said that they prefer the new "Berry Blast" flavor over their original "Pink Party" flavor. Given this information... (Please round to 4 decimal places) c) The point estimate is: ______. d) The 90% confidence interval is: ______ to ______. e) Based on all the information provided, do we reject or fail to reject the null hypothesis?
Male BMI Female BMI H2 Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. 44 44 27.2839 24.5463 7.155619 4.932995 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? O A. Ho: H1 =H2 H1: Hy > H2 B. Ho: H1 # H2 H1: H1
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(a) Which of the following statements is TRUE about p-values in general? O The test statistic in a 2-tailed test is the same as the critical value of a confidence interval. O If the p-value of a test statistic is less than the significance level, we reject the null hypothesis at that significance level. O The p-value of a test statistic is always less than or equal to the significance level in a 1-tailed test. O The p-value of a test statistic is always double the significance level in a 2-tailed test. O If we fail to reject the null hypothesis at a specified significance level, then the p-value of the test statistic was less than that significance level. (b) If a hypothesis is rejected at the 5% significance level, what can you conclude? O It must not be rejected at the 2.0% significance level. O It must not be rejected at the 10.0% significance level. O It must be rejected at the 2.0% significance level. O It may or may not be rejected at the 2.0% significance level. O It must be…
A company would like to assess the impact of using a professional trainer to conduct a confidence-building workshop with its salespeople. A sample of 16 workers is obtained. Half (n = 8) attend the workshop and the other half (n= 8) do not attend the workshop. All workers complete an assessment to measure confidence. The data for the confidence assessment for each group are presented below. Does workshop attendance have a significant effect on the confidence levels of the workers? Conduct a hypothesis test using α = .05. Include all steps. Workshop No workshop n = 8 n = 8 M = 22.8 M = 19.2 SS = 124 SS = 100
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Suppose that the population of the scores of all high school seniors who took the SAT Math (SAT-M) test this year follows a Normal distribution with standard deviation 100. You read a report that says, "On the basis of a simple random sample of 100 high school seniors that took the SAT-M test this year, a confidence interval for u is found to be 512.00 + 25.76." What was the confidence level used to calculate this confidence interval? A) 90% В) 95% С) 99% D) 99.9%