Which of the following hypothesis is considered one tail test? O a. HO: μ> 80 O b. HO: μ #80 O c. H1: μ ≥ 80 O d. HO: μ ≥80 and H1: µ< 80
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- Pls help ASAP. Pls show all work. Pls do both of the asked questions pls i BEG.Independent random samples from normal populations produced the results shown in the table to the right. Assume that the population variances are equal. Complete parts a through d below. a. Calculate the pooled estimate of o². 2 S. = (Round to four decimal places as needed.) b. Do the data provide sufficient evidence to indicate that μ₂ > μ₁? Test using α = 0.10. What are the null and alternative hypotheses? OA. Ho: H₁-H₂ = 0.10 Hai H- Hy 20.10 OC. Ho: H₁-H₂=0 Ha H-Hz0 Ş H₂ = 0.10 Ha: H - Hz≤0.10 Vi (1,0) Sample 1 1.3 2.9 1.6 2.9 2.8 More Sample 2 4.4 2.6 3.8 4.1e? what is the state alternative hypothesis?
- MilanConsider the following computer output:One-sample TTest of µ = 12 vs µ 6= 12Variable N Mean StDev SE Mean t px 10 12.564 ? 0.296 ? ?a) How many degrees of freedom are there on thet-test statistic?b) Fill in the missing items.c) Calculate the p-value. What conclusions wouldyou draw?The Department of Education would like to test the hypothesis that the average debt load of graduating students with a Bachelor's degree is equal to $17,000. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The Department of Education would like to set α = 0.05. The critical value for this hypothesis test would be___? a) 1.645 b) 1.28 c) 1.96 d) 2.33
- A city claims that the mean number of public transportation users per day is at least 4,800. A group of researchers think this is not accurate and want to show that the number of public transportation users is less than 4,800 Identify the null hypothesis, Ho, and the alternative hypothesis, Ha , in terms of the parameter μ. Select the correct answer below: O Ho: μ 4,800; Ha: u K 4,800 Ho: μ 4,800; Ha: μ > 4,800 Ho: μ 24,800; Ha : μ < 4,800 O OIdentify the type I error and the type Il error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.17. Which of the following is a type I error? O A. Reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually 0.17. O B. Fail to reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually 0.17. O C. Reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually different from 0.17. O D. Fail to reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually different from 0.17. Which of the following is a type Il error? O A. Fail to reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually different from 0.17. OB. Reject the claim that the…Q5
- 3Identify the type I error and the type Il error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.15. Which of the following is a type I error? A. Fail to reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually 0.15. B. Reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually 0.15. C. Reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually different from 0.15. D. Fail to reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually different from 0.15. Which of the following is a type Il error? A. Fail to reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually different from 0.15. B. Reject the claim that the proportion of…Use a t-test to test the claim about the population mean μ at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: μ #25; x = 0.01 Sample statistics: x= 28.7, s=4.9, n = 13 What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho: H=25 H₂: μ#25 OB. Ho: H≤25 H₂: μ>25 O C. Ho: μ ≥25 H₂: μ<25 O D. Ho: μ#25 H₂:μ=25 What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed.) What is the P-value of the test statistic? P-value= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. O A. Fail to reject Ho. There is not enough evidence to support the claim. OB. Reject Ho. There is not enough evidence to support the claim. O C. Fail to reject Ho. There is enough evidence to support the claim. OD. Reject Ho. There is enough evidence to support the claim.