Hello! Can you help me to solve question 1) and 2) ? Thank you

File | C:/Users/User/Downloads/$1 1131%20 + | [ Page view | A Read aloud [T) Add text \\ Draw ~ Highlight Erase | E ST1131 Tutorial 8 1. A social scientist studies adult South Africans living in townships on the outskirts of Cape Town, to investigate educational attainment in the black community. Educational attainment is the number of years of education completed. Many of the study's potential subjects were forced to leave Cape Town in 1966 when the government passed a law forbidding blacks to live in the inner cities. Under the apartheid system, black South African children were not required to attend school, so some residents had very little education. How large a sample size is needed so that a 95% confidence interval for the mean number of years of attained education has a margin of error at most of 1 year? 2. Recent research suggests that dogs may be helpful in detecting when a person has cancer. Six dog of varying breeds were trained to distinguish a patient with bladder cancer by smelling certain compounds in the patient's urine. The dog were trained to indicate which among several specimens was from the badder cancer patient by lying beside it. Each of the six dogs were tested with 9 trials. In each trial, one urine sample from a bladder cancer patient was randomly placed among six control urine samples. In the total of 54 trials with the six dogs, the dogs made the correct selection 22 times. 30 C Mostly cloudy ~ 0 2 6()) ENG DELL"MA210 X "MA210 X MA2101 X Lecture1 X 20 CS20405 x ELE CS20405 X ELE CS20405 X BBE CS2904( X BEE ST1131 1 X File | C:/Users/User/Downloads/ST1131%20tutorial_08_qn.pdf Q + | Page view | A Read aloud | [T) Add text | V Draw ~ Highlight Erase | How large a sample size is needed so that a 95% confidence interval for the mean number of years of attained education has a margin of error at most of 1 year? 2. Recent research suggests that dogs may be helpful in detecting when a person has cancer. Six dog of varying breeds were trained to distinguish a patient with bladder cancer by smelling certain compounds in the patient's urine.' The dog were trained to indicate which among several specimens was from the badder cancer patient by lying beside it. Each of the six dogs were tested with 9 trials. In each trial, one urine sample from a bladder cancer patient was randomly placed among six control urine samples. In the total of 54 trials with the six dogs, the dogs made the correct selection 22 times. Let p denote the probability that a dog make the correct selection on a given trial. Perform a significance test to test if the dog's ability to detect the correct urine specimen is better than random guessing. (a) State the assumptions for the test. (b) State the hypotheses of the test. (c) Derive the test statistic and its null distribution. (d) Derive p-value of the test. What is your conclusion? 3. A recent General Social Survey (in US) asked respondents, "On the average day, about how many hours do you personally watch television?" Randomly collected data on the hours of TV watching (variable "hours") are given in the file TVhours_long . csv. Let / denote the average hours of TV watching in the population. 30.C Mostly cloudy