Complete the following hypothesis test. Ho:o2 2 1.53 Ha:o < 1.53 (Claim) %3D = 1.26 , a = 0.05 and n = 9 Find a. The Critical Value x = %3D b. The Test Statistic x = %3D
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- A researcher is testing a two-tailed null hypothesis at the p < .01 level with df = 48. What critical value would she or he use? Justify your answer.Find the P-value for a left-tailed hypothesis test with a test statistic of z=−1.04. Decide whether to reject H0 if the level of significance is α=0.10.In testing hypotheses, which of the following would be strong evidence against the null hypothesis?a. Obtaining data with a test statistic of small magnitude.b. Obtaining data with a small P-value.c. Obtaining data with a large P-value.d. Using a large level of significance, α.e. Using a small level of significance, α
- A random sample of 10 professional athletes produced the following data where X is the number of endorsements the player has and Y is the amount of money made (in millions of dollars). Use the 4 steps of hypothesis testing to see if the prediction is significant with a criteria of alpha=.05 on the following data. x y 0 2 3 8 2 7 1 3 5 13 5 12 4 9 3 9 0 3 4 10Also, using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2009 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2009 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?A sample of n = 25 scores produces a t statistic of t = +2.052. If the researcher is conducting a single-sample two-tailed hypothesis test, which of the following is the correct statistical decision?
- A researcher first decided to conduct a two-tailed hypothesis test, with alpha = .05, but then decided she wants to reduce the risk of a Type I error. What should she do? a. Calculate her statistics more carefully. b. Decrease alpha to .01 c. Increase alpha to .15 e. Conduct a three-tailed testThe NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?The test statistic of z=1.93 is obtained when testing the claim that p>0.2. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.10,should we reject H0 or should we fail to reject H0?
- If, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.6792 and ZSTAT=−0.47,what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision? Since the p-value is Less than or Greater than or equal to a= , Reject , Do not reject H0.In quality–control applications of hypothesis testing, the null and alternative hypotheses are frequently specified as H0: The production process is performing satisfactorily and Ha: The process is performing in an unsatisfactory manner. Accordingly, α is sometimes referred to as the producer's risk, while β is called the consumer's risk. An injection molder produces plastic golf tees with a mean weight of 0.252 ounce. To investigate whether the injection molder is operating satisfactorily, 40 tees were randomly sampled from the last hour's production. Their weights (in ounces) are listed in the accompanying table. Complete parts a through g. 0.248 0.251 0.249 0.250 0.255 0.251 0.251 0.248 0.248 0.251 0.254 0.252 0.256 0.251 0.252 0.253 0.250 0.254 0.254 0.254 0.251 0.251 0.252 0.249 0.249 0.251 0.252 0.253 0.248 0.252 0.252 0.252 0.249 0.252 0.249 0.253 0.252 0.249 0.249 0.251 b.…In quality–control applications of hypothesis testing, the null and alternative hypotheses are frequently specified as H0: The production process is performing satisfactorily and Ha: The process is performing in an unsatisfactory manner. Accordingly, α is sometimes referred to as the producer's risk, while β is called the consumer's risk. An injection molder produces plastic golf tees with a mean weight of 0.252 ounce. To investigate whether the injection molder is operating satisfactorily, 40 tees were randomly sampled from the last hour's production. Their weights (in ounces) are listed in the accompanying table a. Write H0 and Ha in terms of the true mean weight of the golf tees, μ. A. H0: μ=0.252 Ha: μ<0.252 B. H0: μ=0.252 Ha: μ≠0.252 C. H0: μ=0.252 Ha: μ>0.252 D. H0: μ≠0.252 Ha: μ=