can all answer this question for me?
Exercise 15-14: Pet Ownership 13-9, 15-14, 15-15, 18-2, 20-21 The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat.
a. Is this number (one-third) a parameter or a statistic? Explain. What symbol is used to represent the number?
b. What does the Central Limit Theorem say about how the sample proportion of households who own a pet cat could vary under repeated random sampling? Comment on shape, center, and spread of the distribution. Also draw a well-labeled sketch of this sampling distribution.
c. Still supposing that one-third of all American households own a pet cat, between what two values do you expect 95% of all sample proportions to fall?
d. Explain why the interval in part c turns out to be so narrow.
e. This survey found that 31.6% of the households sampled owned a pet cat. Is this number a parameter or a statistic? Explain. What symbol is used to represent the value? f. Indicate this sample proportion (.316) on your sketch of the sampling distribution in part b, and calculate its z-score.
g. Use the CLT to approximate the probability of obtaining a sample proportion as far from one-third as the one obtained in this sample.
h. Do the sample data provide evidence that the population proportion of households who own a pet cat is not one-third? Explain.
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