Concept explainers
You want to see if the percentage of cat owners is significantly less than the percentage of dog owners at a significance level of α=0.10α=0.10.
You sample 700 people and find 584 have cats. You sample an additional 739 people and find 635 have dogs.
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
Given,
Sample size of first group n1=700
Sample of people having cats X1=584
Sample size of first group n2=739
Sample of people having dogs X2=635
Level of significance
Sample proportion of the people having cats is
Sample proportion of the people having dogs is
Hypotheses:
H0: The percentage of cat owners is not significantly less than the percentage of dog owners.
H1: The percentage of cat owners is significantly less than the percentage of dog owners.
The test is a left tailed test.
Critical value:
Use the EXCEL formula, "=NORMSINV(0.1)". The value obtained is -1.281.
Thus, the critical value is -1.281.
Step by stepSolved in 5 steps
- 20arrow_forwardYou wish to test the following claim (H) at a significance level of a = Ho: P1 = P2 Ha: P₁ P2 You obtain a sample from the first population with 122 successes and 438 failures. You obtain a sample from the second population with 63 successes and 304 failures. test statistic = p-value = [three decimal accuracy] 0.001. [four decimal accuracy]arrow_forwardYou are conducting a study to see if the accuracy rate for fingerprint identification is significantly different from 0.51. You use a significance level of a = 0.001. Ho:p = 0.51 H₁:p 0.51 You obtain a sample of size n = 373 in which there are 169 successes. 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 p-value leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is different from 0.51. O There is not sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is different from 0.51. O The sample data support the claim that the accuracy rate for fingerprint identification is different from 0.51. O There is not sufficient sample…arrow_forward
- If the test requires that the results be statistically significant at a level of α = 0.05, fill in the blanks and complete the sentences that explain the test decision and conclusion. The decision is to reject the null hypothesis. There is enough evidence at a significance level of a = 0.05 that the mean weight for U.S. women of age 40-49 who smoke daily is less than 169.976 pounds.arrow_forwardYou are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly more than 0.15. You use a significance level of a = 0.01. Но:р — 0.15 H1:p > 0.15 You obtain a sample of size n 137 in which there are 28 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.. less than (or equal to) a greater than a 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. O There is sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is more than 0.15. O There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is more than 0.15. The sample data support…arrow_forwardChoose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"arrow_forward
- please help me fill the rest thanksarrow_forwardYou wish to test the following daim (Ha) at a significance level of a = 0.05. Ho:P1 P2 You obtain a sample from the first population with 422 successes and 126 failures. You obtain a sample from the second population with 385 successes and 176 failures. critical value = [three decimal accuracy] test statistic = [three decimal accuracy]arrow_forwardYou are conducting a hypothesis test on the body weights of male fraternity members. The research (alternative) hypothesis is that the averge weight is less than 200 lbs. Your test will be at the 0.01 significance level. You take a sample of 100 men, and find that the sample average is 210 lbs, and the standard error is 2 lbs. What is the value of your test statistic? (Please answer to two decimal places. ex: 5.43)arrow_forward
- You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly more than 0.52. You use a significance level of a = 0.05. Ho:p = 0.52 H1:p> 0.52 You obtain a sample of size n = 556 in which there are 308 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... less than (or equal to) a greater than a 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 warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is more than 0.52. There is not sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is more…arrow_forwardPlease let me know the answer AS SOON As possiblearrow_forwardYou are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.45. You use a significance level of α=0.002. H0:p=0.45 H1:p≠0.45You obtain a sample of size n=196 in which there are 81 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... less than (or equal to) αα greater than αα 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 warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.45. There is not sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their…arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman