The test statistic of z=−3.03 is obtained when testing the claim that p<0.75. a. Using a significance level of α=0.01, 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.
- 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…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 ±± 0.602In a test of H0:p=0.4 against Ha:p≠0.4, a sample of size 100 produces z=1.28 for the value of the test statistic. Thus the p-value of the test is approximately equal to?
- 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?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?
- A 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 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 p-value for the above problem is < 0.0001. Which of the following is a correct conclusion? There is not enough evidence that all of the proportions of European football players who take magnesium in topical, pill, and powder form are the same as reported by the football agency. There is strong evidence that all of the proportions of European football players who take magnesium in topical, pill, and powder form are different than reported by the football agency. There is strong evidence that all of the proportions of European football players who take magnesium in topical, pill, and powder form are the same as reported by the football agency. There is strong evidence that at least one of the proportion of European football players who take magnesium in topical, pill, and powder form is different than reported by the football agency. There is not enough evidence that at least one of the proportion of European football players who take magnesium in topical, pill, and…