Pet Ownership The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American household: about pet ownership. Suppose (for now) that one-third of all American households own a pet cat.
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? Answer from smallest to largest and round your answers to FOUR decimal places, if necessary.
95% of all sample proportions will fall between ___ and ___
d.Calculate the Z-score of this sample proportion (0.328).
e. Use the CLT to approximate the probability of obtaining a sample proportion as far or farther from one-third as the one obtained in this sample.
Note: This survey found that 32.8% of the households sampled owned a pet cat.
Round your answer to FOUR decimal places.
The probability of obtaining a sample proportion as small as 0.328 or smaller is___
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