QUEStlon 5 5 points Save Answer An investigation by an online gaming platform wished to determine whether there was a relationship between its number of active users and the number of game updates per month for its most popular game. Their investigation used 37 (n) months over a period of several years. Letting Y be the number of active users (in millions) and X be the number of updates in a month, the following relationship between the two variables was estimated. Standard errors of be and b1 are reported in parentheses under the coefficients for be and b1 Yhat = 6.896 - 0.0045 X (1.573) (0.0022) l To test the significance ofthe relationship, a 5% level of significance was adopted. . State the direction of the alternative hypothesis used to test the statistical significance of the relationship. Type gt (greater than), ge (greater than or equal to). It (less than), le (less than or equal to) or ne (not equal to) as appropriate in the box. 2. Using the required statistical table, determine the critical value of the test statistic (in absolute terms) to three decimal places 3. Calculate the test statistic, reporting your answer to two decimal places. 4. Is the null hypothesis rejected for this test? Type yes or no. 5. Disregarding your answer in part 4, ifthe null hypothesis was rejected, would there appear to be a linear relationship between update frequency and the number of active users? Type yes or no. ,,,,,, ,, ,.,,r, .77. '(ouLIuIII-ul . QueStlon 6 6 points Save Answer A local construction company claims that the average cost of building a backyard pool is $32,500. A homeowner, being skeptical about the validity of this claim, asked 20 random pool owners how much their pool cost, and found the average cost was $34,200. On the basis of advice from a local real estate agent, it could be assumed that the standard deviation of pool cost is $7,800. 1. State the direction of the alternative hypothesis used to test the company's claim. Type the letters gt (greater than), ge (greater than or equal to), It (less than), le (less than or equal to) or he (not equal to) as appropriate in the box. 2. Use the tables in the text to determine the critical value used to conduct the test, assuming a 5% level of significance. lfthere are two critical values, state only the positive value. 3. Calculate the test statistic, reporting your answer to two decimal places. 4. Is the null hypothesis rejected for this test? Type yes or no. 5. lfthe company's claim is shown later to be true, determine the nature of the decision made in the test. Type cd (correct decision), 1 (a Type I error was made) or 2 (a Type II error was made) as appropriate. 6. Regardless of your answer for 4, lfthe null hypothesis was rejected, could we conclude that the company's claim is valid? Type yes or no