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.

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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___

 

Pet Ownership
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.
Transcribed Image Text:Pet Ownership 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.
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.
Round your answers to six decimal places, if required.
The CLT says this sampling distribution will be approximately normal, centered at
====
with a standard deviation of
Transcribed Image Text: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. Round your answers to six decimal places, if required. The CLT says this sampling distribution will be approximately normal, centered at ==== with a standard deviation of
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