6. [5 points] Female goldeneyes (a kind of duck) lay eggs in other females' nests, in addition to the eggs they produce and raise in their own nests. One advantage to a female of this parasitic behavior is that other females do the work of raising her offspring. Andersson and hlund (2012) measured which of the eggs produced by 14 female goldeneyes were laid in other nests and which were laid in their own nests. We have converted their data into a "parasitism first" index, given below (Data #18 under "Data for R in Brightspace). The index is positive if a female tends to lay her earliest eggs parasitically in others' nests (and keeps the later ones for herself to raise). The index is negative if she tends to lay her last eggs in others' nests (and keeps the earlier ones). The index is zero if she alternates and her parasitic eggs are neither earlier nor later on average than eggs she keeps in her own nest. Using the following steps, test whether goldeneyes tend to lay their eggs in other' nests before laying in their own. Female name female 1 female 2 female 17 female 18 female 19 female 20 Parasitism first index -2.3 8 10.5 4.6 5.5 6 female 37 0 female 51 5 female 55 4.5 female 58 6.5 female 70 female 76 4.6 3.8 female 80 female 94 5 5 a. Plot these data by R and paste your codes and output here. Do they look normally distributed? [1 point] b. Why is the signed test suitable for these data? [0.5 point] c. What is the null hypothesis and the alternative hypothesis for this test? [1 point] 5 This study source was downloaded by 100000851915831 from CourseHero.com on 04-05-2023 14:06:34 GMT -05:00 https://www.coursehero.com/file/177315431/stat503-Fall2022-hw6-1docx/ STAT 503-Statistical Methods for Biologists Modified: 2022-11-09 d. Convert each data point into a positive or negative score, to express its value relative to the value stated in the null hypothesis. After discarding the values that equal the value stated in the null hypothesis, what is the remaining sample size? [0.5 point] e. Conduct a binomial test by R and post your codes and output below, using the observed positive and negative scores against the null expectation that half are positive and half are negative. What can you conclude about the golden-eyes' behavior based on this test? [2 points] Here are some R codes for you about ifelse statement and which will help you to solve this problems