Find the critical value (t- value) that form the boundaries of the critical region for a two-tailed test with a = 0.05 for a sample size of n1 = 11 & n2 = 8.
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- The test statistic of z=−3.07 s obtained when testing the claim that p<0.12. a. Using a significance level of α=0.10, find the critical value(s). b. Should we reject H0 or should we fail to reject H0?In a neighborhood of 150 homes, a survey of 45 homes found that the average number of pets was 2.1 (SD=0.75). The city-wide average for neighborhoods is 2.5 pets. Find the critical value of t and the value of t we obtain (or observe) presuming a 2-tailed test. Also, calculate the effect size.The test statistic of Z equals=−2.06 is obtained when testing the claim that p<0.58 Using a significance level of α=0.01 find the critical value(s).
- Setting a smaller alpha level means: A) No answer text provided. B)The acceptance region becomes smaller C) The value of the critical region becomes more positive/negative D) The p value should be large enough to reject the null hypothesisL12Q5.At 10% level of significance, the critical value(s) of z to test H0: μ1= μ2; against Ha: μ1 ≠ μ2 is/areDo one of the following, as appropriate: (a) Find the critical value Za/2, (b) find the critical value t₁/2, (c) state that neither the normal nor the t distribution applies. 90%; n = 10; o is unknown; population appears to be normally distributed za/2=1.383 ta/2=1.812 za/2=2.262 ta/2=1.833
- An experiment has been conducted to investigate the effects of carbon monixide in the breathing capability of human. The claim was breathing frequency is higher in the presence of CO. The data shows the result of the experiment (see picture). Assume that the breathing frequency is approximately normal. a) What should be the good hypotheses for this problem? b) At 0.05 level, what is the critical region? c) What is the t-value/z-score? d) Is the claim true at 0.05 level?Arandom sample of 450 observations produced a sample proportion equal to 0.38. Find the critical and observed values of z for the following test of hypotheses using alpha = 0.025 . H 0 :p=0.30 versus H 1 :p not equal to 0.30The personality trait of "Conscientiousness" (someone who is organized, responsible, and can control their impulses) has μ = 120 and σ =9. Test whether ARC students (n = 9, M = 126) differ on Conscientiousness. α = .05. Does the z score for the sample mean lie in the critical region (beyond the critical boundary)?
- Below are pupil sizes from two samples: 8 men and 8 women (measured in millimeters). Test the hypothesis that thee is a difference in pupil sizes between males and females, using an alpha level of .01. Males Females 7.7 8.9 7.5 8.7 6.9 9.0 7.8 8.8 7.7 7.9 6.9 8.8 4.5 9.0 7.5 9.0 What is the Critical Value?A medical researcher says that less than 86% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 83% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic z. (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.Thousands of motorists travel on Highway 27 everyday. Before installation of traffic cameras at mile marker 11, motorists' speeds averaged 72 mph. After installation of cameras, speeds averaged 67 mph. A paired samples t-test comparing the average speeds yielded a t-statistic of 1.02. Remember, the critical value at p=.05 is 1.96. Assuming our data meet the requirements for conducting a t-test, what can we conclude? There is less than a 5% chance that we would have observed this average difference if there really wasn't a difference in average speeds before and after the camera was installed. We cannot draw any conclusions because we should have used an independent samples t-test. We cannot draw any conclusions because we should have used a one-sample t-test. We cannot draw any conclusions becaue the p-value is not reported. We cannot draw any conclusions because the standard deviation was not reported. We do not have enough information to draw any conclusions.