Hi can you go step by step(with explanation or any formula) for these 8 question(Practice not for marks) There are solution on the back but I like to know how to do it. Thanks.

NOW IT'S YOUR TURN 21.1 Gambling. A May 2011 Gallup Poll consisting of a random sample of 1018 adult Americans found that 31% believe gambling is morally wrong. Find a 95% condence interval for the proportion of all adult Americans who believe gambling is morally wrong. How would you interpret this interval? 21.13 Using public libraries. The Pew Research Center Libraries 2015 Survey examined the attitudes and behaviors of a nationally representative sample of 2004 people ages 16 and older who were living in the United States. One survey question asked whether the survey respondent had visited, in person, a library or a bookmobile in the last year. A total of 922 of those surveyed answered Yes to this question Although the samples in national polls are not SRSs, they are similar enough that our method gives approximately correct condence intervals. (21) Explain in words what the parameter p is in this setting. (b) Use the poll results to give a 95% condence interval for p. (c) Write a short explanation of your ndings in part (b) for someone who knows no statistics. 22.11 Diet and bowel cancer. It has long been thought that eating a healthier diet reduces the risk of bowel cancer. A large study cast doubt on this advice. The subjects were 2079 people who had polyps removed from their bowels in the past six months. Such polyps may lead to cancer. The subjects were randomly assigned to a low-fat, high-fiber diet or to a control group in which subjects ate their usual diets. Did polyps reoccur during the next four years? (a) Outline the design of this experiment. (b) Surprisingly, the occurrence of new polyps "did not differ significantly between the two groups." Explain clearly what this finding means.21.9 A student survey. Tonya wants to estimate what proportion of the students in her dormitory like the dorm food. She interviews an SRS of 50 of the 175 students living in the dormitory. She nds that 14 think the dorm food is good. (a) What population does Tonya want to draw conclusions about? (b) In your own words, what is the population proportion p in this setting? (0) What is the ntunerical value of the sample proportion p" from Tonya's sample? 21.23 [)0 you jog? Suppose that 10% of all adults jog. A11 opinion poll asks an SRS of 400 adults if they jog. (a) What is the sampling distribution of the proportion p" in the sample who jog? (b) According to the 689599.'7 rule, what is the probability that the sample proportion who jog will be 7.3% or greater? 22.9 Students' earnings. The financial aid office of a university asks a sample of students about their employment and earnings. The report says, "For academic year earnings, a significant difference (P = 0.028) was found between the sexes, with men earning more on average than women. No difference (P = 0.576) was found between the earnings of black and white students." Explain both of these conclusions, for the effects of sex and of race on mean earnings, in language understandable to someone who knows no statistics.21.7 Anxiety. A particular psychological test is used to measure anxiety. The average test score for all university students nationwide is 85 points. Suppose a random sample of university students is selected and a confidence interval based on their mean anxiety score is constructed. Which of the following statements about the confidence interval is true? (a) The resulting confidence interval will contain 85. (b) The 95% confidence interval for a sample of size 100 will generally have a smaller margin of error than the 95% confidence interval for a sample of size 50. (c) For a sample of size 100, the 95% confidence interval will have a smaller margin of error than the 90% confidence interval.21.5 Saving for retirement. In 2014, a leading nancial services provider conducted a survey in order to determine how Americans are planning for retirement. Of the 1017 adults aged 18 years and older who were included in the survey, 214 said they were currently not saving anything for retirement. Based on this information, the 95% condence interval for the proportion of all adults who are currently not saving for retirement would be (a) 0.155 to 0.265. (b) 0.185 to 0.235. (c) 0.197 to 0.223. (d) 0.200 to 0.220