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- Consider the following competing hypotheses:H0: ρxy = 0HA: ρxy ≠ 0The sample consists of 27 observations and the sample correlation coefficient is 0.38. [You may find it useful to reference the t table.] a-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)Q-1. You are given the following data for variables x and y: X Y 3.0 1.5 2.0 0.5 2.5 1.0 3.0 1.8 2.5 1.2 4.0 2.2 1.5 0.4 1.0 0.3 2.0 1.3 2.5 1.0 c. Test to determine whether the population correlation coefficient is positive. Use the = 0.01 level to conduct the test. Be sure to state the null and alternative hypotheses and show the test and decision rule clearly.Ten pairs of points yielded a correlation coefficient r of 0.790. If alpha=0.05 which of the following statements is correct if H0 : p =0? ( Do not calculate a t-value) 1. Because 0.790 is greater than 0.632, the null hypothesis is not rejected.2. Because 0.790 is greater than 0.602, the null hypothesis is not rejected.3. There is no correlation between the variables.4. Because 0.790 is greater than 0.632, the null hypothesis is rejected. Also, is the second value in the answers just randomly used or are they calculated? I don't understand what I am comparing.
- The data below show the number of three-base hits (triples) and the number of home runs hit during the season by a random sample of MLB teams. Triples 25 23 51 19 20 43 Home runs 212 199 144 160 149 122 Test the significance of the correlation coefficient at a 0.05. r = Step 1 State the hypotheses Step 2 Find the critical values Step 3 Compute the test value Step 4 Make the decision Step 5 Summarize the results.please answer SUBS D-i Lovers 2 3 3 0 6 1 4 3 3 GPA 3.5 2.6 3 3.9 2.8 3.5 3.1 3.2 3.2 A. Find the correlation coefficient: r= Round to 2 decimal places? The null and alternative hypotheses for correlation are?H0: ρ = 0H1: ρ ≠ 0 B. Thep-value is? (Round to four decimal places) C. Use a level of significance of α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically significant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the regression line is useful. There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. There is statistically insignificant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the use of the regression line is…Conclusion The linear correlation coefficient r is found to be 0.499, the P-value is 393, and the critical values for a 0.05 significance level are ±0.878. What should you conclude?
- If the value of Cronbach’s alpha is 0.07, it means ___________; a. Research instrument is not reliable b. Research instrument is internally consistent c. Data is reliable d. Data is internally consistentb.Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. c. find the critical valuesAn emergency service wishes to see whether a relationship exists between the outside temperature and the number of emergency calls it receives for a 7-hour period. The data are shown. Temperature x No. of calls y 68 74 7 4 8 82 88 10 93 11 99 9 Test the significance of the correlation coefficient at alpha = 0.05 13 101 f = Step 1: State the hypotheses. Step 2: Find the critical values. Step 3. Compute the test value. Step 4. Make the decision. Step 5. Summarize the results.
- Find: Thus, the alternative hypothesis is ρ≠0. The null hypothesis must express equality. The correct null and alternative hypotheses are given below. use the same technology output that was used to calculate the correlation coefficient to find the t test statistic, rounding to two decimal places. Use the same technology output that was used to calculate the correlation coefficient and test statistic to find the P-value, rounding to three decimal places.Q1. What does the %RSD, listed in the spectral data, as well as the correlation coefficient of your standard curve, tell you about the quality of the data and integrity of the results? my standard % RSD is 36.4%, I had to calculate manually from the 5 standard solutions I did have on the spectra. The R squared value from the standard curve is 0.7282What type of statistical test are you conducting if h1 states that the parameter is greater than the value claimed in h0? a) left-tailed b) right-tailed c) two-tailed d) dove-tailed