The test statistic of z=−3.21 is obtained when testing the claim that p<0.79. a. Using a significance level of α=0.05, find the critical value(s). b. Should we reject H0 or should we fail to reject H0?
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- If the test of H0: = 19 against Ha: ≠ 19 based on an SRS of 15 observations from a Normal populationproduces the statistic of t = –1.75. The P-value isA test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α = 0.01. The value of the test statistic is z = 1.23. a. .Is H0 rejected?Test the null hypothesis that the slope is zero versus the two-sided alternative in the following setting using the alpha = 0.05 significance level: n = 100, yhat = 29.3 + 2.1x, and SEb1 = 1.05.
- Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given n = 11 at a significance level of 0.05. ±± 0.575 ±± 0.514 ±± 0.555 ±± 0.602A researcher conducted a t-test for independent samples to evaluate the mean difference between two treatment conditions and obtained t(48) = 4.00. What would be the computed F, if the outcomes of this study were evaluated by one-actor ANOVA for independent samples?A two-sample t-test for a difference in means was conducted to investigate whether there is a statistically significant difference in the average amount of fat found in low-fat yogurt and the average amount of fat found in nonfat yogurt. With all conditions for inference met, the test produced a test statistic of t=2.201 and a p-value of 0.027. Based on the p-value and a significance level of α=0.05, which of the following is the correct conclusion? Reject the null hypothesis because p<α. The difference in the average amount of fat found in low-fat and nonfat yogurt is not statistically significant. A Reject the null hypothesis because p<α. The difference in the average amount of fat found in low-fat and nonfat yogurt is statistically significant. B Fail to reject the null hypothesis because p<α. The difference in the average amount of fat found in low-fat and nonfat yogurt is not statistically significant. C Fail to reject the null…
- The test statistic z=1.42 is obtained when testing the claim that p>4 a) find the p value B) using a significance level that alpha =0.01, should we reject the null hypothesis or fail to reject the null hypothesisA two-sided t-test for a population mean is conducted with H0: = 80. If a 99 percent t-interval constructedfrom the same sample data contains the value of 80, which of the following can be concluded about thehypothesis test at significance level of = 0.01?A sample of n=10,000 (x, y) pairs resulted in r= .022. Test H0: p=0 versus Ha: p=? 0 at significance level .05. Is the result statistically significant? Comment on the practical significance of your analysis.
- The test statistic of z=−2.07 is obtained when testing the claim that p<0.85. a. Using a significance level of α=0.05, find the critical value(s). b. Should we reject H0 or should we fail to reject H0?For which of the following pairs of significance levels and pp-values are the results statistically significant? That is, for each αα, should H0H0 be rejected based on the given pp-value? Select all cases where H0H0 should be rejected: α=α=0.001; pp-value==0.004 α=α=0.003; pp-value==0.168 α=α=0.010; pp-value==0.056 α=α=0.100; pp-value==0.027 α=α=0.025; pp-value==0.012 α=α=0.050; pp-value==0.002The random sample of 7 pairs of observations from the normal population gives the following information:- x 8 1 3 6 12 7 10 y 13 30 23 35 24 18 15 [ r = -0.459 and take the significance level (alpha) = 0.02] The P - Value of the test statistic ( along with decision ) used for testing that the two variables are not linearly related ( H(null) : roll = 0) is