5. Rejecting the null hypothesis when it is true is called a(n) a. Critical Value С. Туре I Error b. Level of Significance d. Type II Error
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- Identify the type I error and the type Il error that correspond to the given hypothesis. The percentage of college students who own cars is equal to 35%. Identify the type I error. Choose the correct answer below. O A. Reject the null hypothesis that the percentage of college students who own cars is equal to 35% when that percentage is actually equal to 35%. O B. Fail to reject the null hypothesis that the percentage of college students who own cars is equal to 35% when the percentage is actually equal to 35%. O C. Reject the null hypothesis that the percentage of college students who own cars is equal to 35% when that percentage is actually different from 35%. O D. Fail to reject the null hypothesis that the percentage of college students who own cars is equal to 35% when that percentage is actually different from 35%. Identify the type Il error. Choose the correct answer below. O A. Fail to reject the null hypothesis that the percentage of college students who own cars is equal to…find the p-value for the hypothesis test with the standard test statistic z. decide whether to reject H0 for the level of significanceα 14. Left-tailed test (z=-1.55, α=0.05) 16. Right-tailed test (z=1.23, α=0.10) 18. Two-tailed test (z=1.95, α=0.08)5
- Suppose there is a claim that a certain population has a mean, u, that is 6 or more. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis Ho and the alternative hypothesis H, as follows. Ho u26 Hi u<6 Suppose you also know the following information. The critical value is -1.282 (rounded to 3 decimal places). The value of the test statistic is -2.405 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. o One-tailed o Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.3 0.2 0. Step 3: Enter the test statistic. (Round to 3 decimal places.) (b) Based on your answer to part (a), choose the correct statement. o The value of the test statistic lies in the rejection region. The value of the test statistic doesn't lie in the…Suppose there is a claim that a certain population has a mean, µ, that is different than 7. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis H, and the alternative hypothesis H, as follows. Hoi u= 7 H: u =7 Suppose you also know the following information. The critical values are - 1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is 2.477 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed 0.3 Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) 2 (b) Based on your answer to part (a), choose the correct statement. O The value of the test…Suppose there is a claim that a certain population has a mean, u, that is greater than 8. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H₁, as follows. Ho: μ = 8 H₁: μ>8 Suppose you also know the following information. The value of the test statistic based on the sample is 1.717 (rounded to 3 decimal places). The p-value is 0.043 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.3 0.2 + 0.1 (b) Based on your answer to part (a), which statement below is true? O Since the p-value is less than (or…
- Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: μ- 51200, α= 0.01 Sample statistics: x 50,985, s= 2300, n= 20 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below О В. Н. и-51200 O A. H, µ51,200 O B. H, p#51,200 O C. H, µ 51,200 H, µ= 51,200 O D. H, p2 51,200 H, p<51,200please answer all partsCurrent Attempt in Progress State the null and alternative hypotheses for the situation described below for a statistical test. Testing to see if there is evidence that the proportion of people who smoke is greater for males than for females. Let group 1 be the males and let group 2 be the females. Ho: = < vs Ha: 41 :: p 2 :: p ^ P₁ P1 ^ :: P2 P2 p I ₁ :: I₂
- Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: :40; a = 0.02; o = 3.74. Sample statistics: x= 38.2, n= 70 ..... Identify the null and alternative hypotheses. Choose the correct answer below. Ο Α. H : μ> 40 В. Но: - 40 Ha: µ = 40 Ha: µ 40 ОЕ. Но: н240 Ha: µ= 40 Ο F H: μ = 40 Hai µ#40 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is B. The critical values are ±A personnel director in a particular state claims that the mean annual income is greater in one of the state's coundies (county A) than it is in another county (county B) In County A a random sample of 17 residents has a mean annual income of $40,300 and a standard deviation of $8100 In County B, a random sample of 8 residents has a mean annual income of $38.500 and a standard deviation of $5700 At a 0.05, answer parts (a) through (e) Assume the population variances are not equal. If convenient, use technology to solve the problem (a) identify the claim and state H and H Which is the correct claim below? OA "The mean annual income in county A is less than in county B OB. The mean annual incomes in countes A and B are equal" OC. The mean annual income in county A is greater than in county B. OD. The mean annual incomes in countes A and B are not equal What are H, and H₂? The nut hypothesis. Hy is Which hypothesis is the clam? The null hypothesis H₂ The alternative hypothesis, H, (b)…A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: ≤7.3 H₂ Ha µ> 7.3 What type of test is being conducted in this problem? O A. Left-tailed test OB. Right-tailed test OC. Two-tailed test 194
