please assist with the attached questions. thankyou

1. The results of a study showed that heterosexual women, during ovulation, were significantly better at correctly identifying the marriage status of a man from a photograph of his face than women who were not ovulating. Near ovulation, on average women correctly identified the marriage status of about 65% of the 100 men shown to them. Assume that the sample distribution for this study is unimodal and symmetric and that the samples are collected randomly. If this is the probability of correctly identifying the marriage status of a man in any given photograph, what is the probability a woman would correctly classify 77or more of the men? The probability is (Round to five decimal places as needed.) 2. Of 520broiler chickens purchased from various kinds of food stores in different regions of a country and tested for types of bacteria that cause food-borne illnesses, 71% were infected with a particular bacterium. a) Construct a 90% confidence interval. b) Explain what your confidence interval says about chicken sold in the country. c) A government spokesperson claimed that the sample size was too small, relative to the billions of chickens slaughtered each year, to generalize. Is this criticism valid? 3. A poll taken this year asked 1022adults whether they were fans of a particular sport and 70% said they were. Last year, 71% of a similar-size sample had reported being fans of the sport. Complete parts a through e below. a) Find the margin of error for the poll taken this year if one wants 90% confidence in the estimate of the percentage of adults who are fans of the sport. MEequals (Round to three decimal places as needed.) 4. A philanthropic organisation sent free mailing labels and greeting cards to a random sample of 100 000 potential donors on their mailing list and received 47 donations. (a) Give a 90% confidence interval for the true proportion of those from their entire mailing list who may donate. (b) A staff member thinks that the true rate is 4.7%. Given the confidence interval you found, do you find that rate plausible? 5. An insurance company checks police records on 563 accidents selected at random and notes that teenagers were at the wheel in 82of them. a) Construct the 95% confidence interval for the percentage of all auto accidents that involve teenage drivers. 95% CI= (Round to one decimal place as needed.) 6. A recent study of 2400children randomly selected found 21% of them deficient in vitamin D. a) Construct the 98% confidence interval for the true proportion of children who are deficient in vitamin D