The data in the contingency table to the right count the number of male and female shoppers who accept or reject a discounted offer in return for supplying a retailer with an email address. Consider using these data to test the null hypothesis that gender and acceptance are independent (Ho). (a) Find the degrees of freedom of x. (b) Find the expected number of women who reject if Ho holds. (c) Find the value of x for testing Ho. (d) Find the p-value for testing Ho. (a) The number of degrees of freedom is (b) The expected number of women who reject if Ho holds is (Type an integer or a decimal.) (c) The value of x for testing Ho is (Round to three decimal places as needed.) (d) The p-value for testing Ho is (Round to three decimal places as needed.) Male Female Accept Reject 80 70 80 70 A company ran tests of its current internal computer network. Thirty files ranging in size from 20 to 100 megabytes (MB) were transmitted over the network at various times of day, and the time to send the files recorded, as shown in the accompanying data table. Formulate the SRM with Y given by Transfer Time and X given by File Size. Complete parts (a) through (c) below. Click the icon to view the data table of file sizes and transfer times. (a) Is the correlation between file size and transfer time significantly different from zero? Identify the hypotheses to be tested. Choose the correct answer below. OA. Ho: B =0 HA: B1 0 OD. Ho: B #0 HA: B =0 OF. Ho: B 0 HA: B =0 i Data table File size (MB) Time (sec) File size (MB) Time (sec) 72 30.7 21 11.4 46 19.5 51 20.5 52 22.6 90 36.3 75 27.6 87 30.6 97 38.1 70 24.7 100 37.9 57 20.6 75 28.4 48 20.5 134852312836 15.6 17.1 31.9 87 35.1 13.7 57 22.3 16.6 14.4 71 28.8 14.2 89 32.9 37 19.6 88 35.5 50 22.6 89 30.6 94 32.1 Find the value of the test statistic t associated with 1. t = | (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to four decimal places as needed.) Determine whether the correlation between file size and transfer time differs significantly from zero. Choose the correct answer below. A. Reject Ho. There is insufficient evidence that the correlation between file size and transfer time is not zero. B. Do not reject Ho. There is sufficient evidence that the correlation between file size and transfer time is not zero. C. Do not reject Hn. There is insufficient evidence that the correlation between file size and transfer time is not zero. D. Reject Ho. There is sufficient evidence that the correlation between file size and transfer time is not zero. (b) Estimate the average "setup" time to start the file transfer. This time is used to synchronize the computers making the transfer and is unrelated to file size. Use a confidence level of 95%. The average setup time is to seconds. (Round to one decimal place as needed.) (c) To speed transfers, the company introduced compression software that halves the size of a file when sent over the network. On average, what is the improvement in time when sending a 50-MB file? State your answer as a range. On average, the improvement in time is to seconds. (Round to one decimal place as needed.)