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1) (12pts) Researcher finds that 55% of vegetarians are women. Suppose a random sample of 500 vegetarians is taken. What is the approximate probability that the proportion of females in our sample will be more than 60%? Graph. (4pts) b) What is the approximate probability that the proportion of females in our sample will be less than 30%? Graph. (4pts) c) What is the approximate probability that the proportion of females in our sample will be between 50% and 60%? Graph. (4pts)
2) (6pts) Suppose a poll of 200 randomly selected voters in a city found that 130 of them favored increased funding for public libraries. Based on this poll, could we conclude that a majority of voters in this city (more than 55%) favor increased funding for public libraries? Use a significance level of 0.05.
