The one-sample t-statistic for a test of Ho: µ = 42 versus H1: µ < 42 based on n = 15 observations has the value 1 = -0.867, where Ho and Hjare the null and alternative hypotheses, respectively. The sample size is denoted by n. Use this t-table to determine which two P-values bracket the P-value of the test. Report your answers in decimal form as listed in the t-table. k P-value of the test <

Use technology and a​ t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed.   ​Claim: μ>79​; α=0.10     Sample​ statistics: x=80.2​, s=3.7​, n=28 What are the null and alternative​ hypotheses? Choose the correct answer below.     A. H0​:μ≠79 HA​:μ=79   B. H0​:μ=79 HA​:μ≠79   C. H0​:μ≤79 HA​:μ>79   D. H0​:μ≥79 HA​:μ<79   What is the value of the standardized test​ statistic?=   What is the​ P-value of the test​ statistic?=   Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.     A. Reject H0. There is enough evidence to support the claim. Your answer is correct.   B. Reject H0. There is not enough evidence to support the claim.   C. Fail to reject H0. There is enough evidence to support the claim.   D. Fail to reject H0. There is not enough…

Below indicate whether the appropriate test would be an independent t-test, dependent t-test, One-way ANOVA, or z-test. A researcher wants to know if people find baby animals cuter than adult animals. All of the participants in a study are shown 10 pictures of baby animals and 10 pictures of adult animals. They are asked to rate (on a 1 to 10 scale) how cute they think each animal is.

Test the claim below about the mean of the differences for a population of paired data at the level of significance x. Assume the samples are random and dependent, and the populations are normally distributed. Claim: μ ≥0; x = 0.10. Sample statistics: d= -2.4, s = 1.3, n = 19 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Hd 0 The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Since the P-value is the level of significance, C OB. Ho: Hd>0 Ha: Hd ≤0 O D. Ho: Hd #0 Ha: Hd = 0 OF. Ho: Hd 20 Ha: Hd <0 the null hypothesis. There statistically significant evidence to reject the claim.

Use a​ t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed.   ​Claim: μ=52,500​; α=0.10     Sample​ statistics: x=52,691​, s=1900​, n=17   LOADING... Click the icon to view the​ t-distribution table. What are the null and alternative​ hypotheses? Choose the correct answer below.     A. H0​: μ≠52,500 Ha​: μ=52,500   B. H0​: μ≤52,500 Ha​: μ>52,500   C. H0​: μ=52,500 Ha​: μ≠52,500   D. H0​: μ≥52,500 Ha​: μ<52,500 What is the value of the standardized test​ statistic?   The standardized test statistic is nothing. ​(Round to two decimal places as​ needed.) What​ is(are) the critical​ value(s)?   The critical​ value(s) is(are) nothing. ​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.) Decide whether to reject or fail to reject the null hypothesis.     A. Fail to reject H0.…

Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0 : μ=4 vs Ha : μ≠4 using the sample results x¯=4.8, s=2.3, with n=15.     Give the test statistic and the p-value.   What is the conclusion?

For a fixed alpha level of significance used for a hypothesis test, the critical value for a chi-square statistic decreases as the size of the sample decreases. ​ a. True ​ b. False

Conduct a test at the a = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > P2. The sample data are x, =118, n, = 258, x, = 139, and n, = 314.