6. For a sample of n= 25 individuals, at least how large must a Pearson correlation be in order for the null hypothesis to be rejected for a two-tailed test with α = .05? 0.462 0.337 0.397 0.444
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6. For a sample of n= 25 individuals, at least how large must a Pearson
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- Suppose n = 6 and the sample correlation coefficient is r = 0.884. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t= critical t= Suppose n = 10 and the sample correlation coefficient is r = 0.884. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t= critical t=If we have a sample of size 9 with mean 58.43 and variance 15 from a normal population X with unknown variance, and a sample of size 13 with mean 73.64 and variance 30 from a normal population Y with unknown population variance, then, assuming X and Y are independent, what is the significance of this data as evidence that the true population variance of X is more than 20% lower than the true population variance of Y? .35 NONE OF THE OTHERS .41 .44 .26Determine whether the given correlation coefficient is statistically significant at the specified level of significance and sample size. r=−0.599 α=0.01, n=11 Yes or No?
- As we noted previously, even a very small effect can be significant if the sample is large enough. Suppose, for example, that a researcher obtains a correlation of r = .60 for a sample of n =10 participants. Is this sample sufficient to conclude that a significant correlation exists in the population? Use a two-tailed test with α = .05. Based on the previously provided correlation, would you reject the null hypothesis establishedWhat would our cutoff Z-score be if we want to do a two-tailed test and use an alpha of .01?How large must a Pearson correlation coefficient, calculated on a sample of 22 people, be to be statistically significant at the alpha = 0.01 level in a two-tailed test (in other words, what is the critical value for the test)? .537 .472 .492 .515
- The sample correlation coefficient between X and Y is 0.375. It has been found out that the p-value is 0.744 when testing Ho :p = 0 against the one-sided alternative H1:p < 0. To test Ho:p = 0 against the two-sided alternative H1: p not equal to 0. at a significance level of 0.193, the p-value is 0.744 /2 O (0.744) 2 O 1-0.744 O (1 -0.744) 2Suppose that a researcher obtains a correlation of r = -0.60 for a sample of n = 20 participants. Is this sample sufficient to conclude that a significant correlation exists in the population? Use a two-tailed test with α = .01. Group of answer choices r-critical = .537, Reject H0 (Conclude there is a correlation in the population) r-critical = .561, Reject H0 (Conclude there is a correlation in the population) r-critical = .537, Fail to Reject H0 (Conclude there is no correlation in the population) r-critical = .561, Fail to Reject H0 (Conclude there is no correlation in the population)Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two distributions of the variable under consideration have the same shape and may be normal. You take the two samples and find that the data for one of the samples contain outliers. Which procedure would you use? Explain your answer.
- A sample of size 11 produced a variance of 18. Is this sufficient to reject the null hypothesis that σ2 = 6 when tested using a 0.05 level of significance?A researcher wants to know if male and female college students differ with regard to their GPAs. She randomly gets 16 male and 16 female college students to report their GPAs. The males reported a mean GPA of 3.05 with a SS = 3.75. The females reported a mean GPA of 3.1 with a SS = 2.4. You are going to be conducting an independent samples t-test. You will be conducting a two-tailed test with alpha α=.05. What is the critical t-value(s) for this test?For a two-tailed test with α=.05, use Table B.6 (Critical Values for the Pearson Correlation) to determine how large a Pearson correlation is necessary to be statistically significant for each of the following samples. A sample of n=6 A sample of n=12 A sample of n=12
