D Question 10 1 pts Based on the 2017 American Community Survey, the proportion of the California population aged 15 yea

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D Question 10 1 pts Based on the 2017 American Community Survey, the proportion of the California population aged 15 years old or older who are married is p = 0.482. Suppose n = 1000 persons are to be sampled from this population and the sample proportion of married persons ện ) is to be calculated. What is the probability that more than 50% of the people in the sample are married? Round your answer to three decimal places.

Question 14 1 pts Conscientiousness is a tendency to show self- discipline, act dutifully, and aim for achievement. The trait shows a preference for planned rather than spontaneous behavior. A random sample of 650 students is asked to fill out the Hogan Personality Inventory (HPI) to measure their level of conscientiousness. The 300 undergraduate students scored an average of 145 with a standard deviation of 16. The 350 graduate students had a mean score of 153 with a standard deviation of 21. What is the unpooled standard error for the difference between the two sample means? Round your answer to three decimal places.

Question 12 1 pts A child is observing squirrels in the park and notices that some are brown and some are gray. For the next five squirrels she sees, she counts X = the number of brown squirrels. Suppose X is a binomial random variable with n = 5 and p = 0.50. What is the probability that she will see exactly one brown squirrel out of the five? Round your answer to three decimal places.