Suppose we run a two-tail hypothesis test that uses the Student's t-distribution with 16 degrees of freedom and a level of significance of 0.05. What would be the appropriate critical values for this test? a) MA b) Both a and b are correct. Neither a nor b are correct. t = 1.746 b= -1.746
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- The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:We have provided a sample mean, sample standard deviation, and sample size. In each case, use the one-mean t-test to perform the required hypothesis test at the 5% significance level. x = 21, s = 4, n = 32, H0: μ = 22, Ha: μ<22A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 118 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the a = 0.05 level of significance. ..... What type of variable is "drive an American-made automobile, or not"? A. Qualitative with two possible outcomes B. Discrete C. Continuous…
- A professor wanted to determine if the GPAS of students at Saddleback College are less consistent than the GPAS of students at Irvine Valley College. To test this, he obtains random samples of students from both colleges and records their GPAS, which are given below. Test the professor's claim at the a=0.05 level of significance. Saddleback College Irvine Valley College 3.7 3.2 3.0 2.5 2.7 3.6 4.0 3.4 3.8 3.2 3.0 2.5 3.6 2.8 2.6 2.5 2.1 2.7 3.9 3.4 2.0 2.2 2.7 3.1 2.0 2.0 2.1 3.8 3.1 2.9 3.2 2.8 Calculator Function [ Select] [ Select] 2-PropZTest ANOVA X^2-Test T-Test 2-SampTTest 2-SampFTest [ Select] v sufficient evidence that the standard deviation of grades for Saddleback College students is [ Select] than the standard deviation for Irvine Valley College students.Mark performed a two-sample z-test for proportions to test the hypothesis that there was no difference in the proportion who support increasing student fees between male and female students at a particular university. Mark obtained a z-statistic of 0. Based on this information, which of the following is always true. The sample proportions for male and females will be the same as the hypothesized proportions for male and female students at this university. The sample proportions for both male and female students at this university will be 0. All male and female students in the sample will feel the same way about supporting the increase in student fees. The sample proportions will be the same for both male and female students at this university. Test whether p1>p2 The sample data are x1=116,n1=258,x2=135,n2=311. Conduct a test at the α=0.10 level of significance. Determine the correct null and alternative hypothesis below. Determine the test statistic. Find the P-value: What is…Which statement best represents the logic of a one way analysis of variance which also called ANOVA which is also called the F test? A. Under the null, The population means are equal to each other, so any difference in sample means will register as significant difference B. Under the null, at least one mean is different from the others, so if this condition is met with the data, it will register as a significant difference C. Under the null, The means are assumed to be equal; as a result the between group variance will equal the within group variance ; if the calculated SSbetween is sufficiently larger than SSbetween this would suggest the between group variation is larger than within group variation and indicate there is a significant difference amount the means D. Under the null, the means are assumed to be equal, as a result, the within group variance will be larger than the between group variance and this will be revealed by a significant F, which would indicate that the…
- Use a 0.05 significance level to test the claim that males and females have the same mean BMI Male BMI n=80 * = 26.3 s = 5.4 Female BMI n=61 I = 28.4 s = 7.4A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1300 registered voters and found that 670 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate.We test Ho: p=.5 Ha: p>.5 What is the -statistic for this test? What is the P-value of the test?In a survey, 32% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selected 230 pet owners and discovered that 66 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the α=0.1 level of significance. Find test statistic and p value
- OI al College is less likely to attend orientation than men before they begin their coursework. A random sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation. The results of the survey are shown below: Data for Gender vs. Orientation Attendance Select an answer Women Men 439 242 What can be concluded at the a = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Yes 350 No 262 Ho: Select an answer ✓ Select an answer ✓ Select an answer ✓ (please enter a decimal and note that p1 and μl represent the proportion and mean for women and p2 and μ2 represent the proportion and mean for men.) H₁: b. The test statistic ? | = c. The p-value d. The p-value is ? ✓ a e. Based on this, we should f. Thus, the final conclusion is that ... Select an answer ✓ Select an answer (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4…You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: P₁ P2 Ha P₁ P2 : You obtain a sample from the first population with 523 successes and 107 failures. You obtain a sample from the second population with 268 successes and 40 failures. test statistic = p-value [three decimal accuracy] [four decimal accuracy]A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? 9 Human activity Natural patterns Don't know 66 64 Male 288 307 130 155 Female Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Ho: H₂₁: Compute the test statistic. ▼and and (Round to three decimal places as needed.) Find the critical value(s). are ▼are (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? Ho. There sufficient evidence to warrant rejection of the claim…