Given H 0: μ ≤ 25 and H a: μ > 25, determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
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- Test the claim about the difference between two population means u, and u, at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: µ1 = H2; a = 0.01 Population statistics: o, = 3.5, o2 = 1.4 Sample statistics: x, = 17, n, = 31, X2 = 15, n2 = 30 Determine the alternative hypothesis. Ha: H1 # H2 Determine the standardized test statistic. z= 2.95 (Round to two decimal places as needed.) Determine the P-value. P-value = (Round to three decimal places as needed.)Test the claim about the difference between two population means µ₁ and µ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: μ₁ μ₂; α=0.10. Assume o² #02 Sample statistics: x₁=2404, s₁ = 177, n₁ = 15 and x₂ = 2299, s₂ = 54, n₂ = 10 Identify the null and alternative hypotheses. Choose the correct answer below. A. Ho: ₁ = ₂ Hai Mi#H2 C. Ho: H₁ H₂ Hai HSM2 E. Ho: H₁ H₂ Ha: ₁ = ₂ Find the standardized test statistic t. t= (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho. There enough evidence at the 10% level of significance to reject the claim. B. Ho: H₁ H₂ Ha: ₁ H2Dentists A toothpaste company wants to declare in an ad that more than 80% of dentists recommend their toothpaste. The company performs a hypothesis test at the α = 0.05 significance level to test their claim. The company samples 800 dentists. Of these, 653 recommend their toothpaste. Let p represent the population proportion of dentists that recommend their toothpaste. b.Calculate the z or t statistic. (Do not use continuity correction. Round final answer to 4 decimal places) Statistic: c. Find the p-value. (Do not use continuity correction. Round final answer to 4 decimal places) p-value:
- What is the critical t score if you are testing a one-tailed hypothesis, α level of .05 with df = 36? a. 1.671 b. 2.026 c. 2.028 d. 1.697In a random sample of 320 cars driven at low altitude, 40 of them exceeded the standard 10 grams of particulate pollution per gallon of fuel consumed. In another independent random sample of 80 cars driven at high altitude, 20 of them exceeded the standard. Let P 1be the true proportion of cars that exceed the standard in low altitudes and P 2be the true proportion of cars that exceed the standard in high altitudes. What is the test statistic for testing this hypothesis.The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? Ho: O = 4 H: What type of test is being conducted in this problem? Two-tailed test Left-tailed test O Right-tailed test What parameter is being tested? Population proportion Population standard deviation Population mean O Time Remaining: 01:50:59 Next DEC tv MacBook Pro Search or type URL
- Normally only about 19% of people who try to quit smoking succeed, but sellers of a motivational tape claim that listening to their recorded messages can help people quit (i.e., more than 19% of the people who use the tapes will successfully quit). Let p represents the percentage of people who have listened to the recorded messages and have successfully quit. Match the appropriate null and alternative hypotheses, based on the sellers' claim. H,: p = 0.19 p> 0.19 p2 0.19 ps 0.19 p 0.19 p2 0.19 ps 0.19 p < 0.19 Op- 0.19 Do you consider a Type I or Type Il error a more serious mistake here? Why? Your answer should make it clear what Type I and Il errors are in this context.Calculate the p-value for the following conditions and determine whether or not to reject the null hypothesis. Complete parts a through d. a. One-tail (lower) test, zp = -1.19, and x = 0.05. p-value= (Round to four decimal places as needed.)For the hypothesis test Ho: 14 against H₁: > 14 with variance unknown and = 11, find the best approximation for the P- value for the test statistic fo = 1.941. O 0.025 sp≤ 0.050 O 0.10 sp≤0.25 O 0.25 sp≤0.50 0.010sp≤ 0.025 O 0.0025sp≤0.0050
- A statistical analysis is internally valid if: O A. all t-statistics are greater than |1.96|. O B. the population is small, say less than 2,000, and can be observed. OC. the regression R² > 0.05. O D. the statistical inferences about causal effects are valid for the population studied.Test the claim about the difference between two population means μ₁ and μ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: H₁₂; a=0.01. Assume o² #02 Sample statistics: x₁ =2417, s₁ = 174, n₁ = 15 and X2=2301, $255, n₂ = 10 dentify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H1 H2 Ha H1> H2 OC. Ho: H₁₂ H₂H₁₂ O E. Ho: H1 H2 Hai P1 P2 Find the standardized test statistic t. OB. Ho: H1 H2 D. Ho: H1 H2 H: H₁₂ OF. Ho: 12 Ha H1 H2 Time Remaining: 00:59:29 Next InserA sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 7.1 s = 2.3 n = 18 α = 0.01 H0: µ = 10 H1: µ < 10 The decision is to the null hypothesis. (Enter R if you reject and enter F if you fail to reject)
