Question

In: Statistics and Probability

A consumer advocate claims that 80 percent of cable television subscribers are not satisfied with their...

A consumer advocate claims that 80 percent of cable television subscribers are not satisfied with their cable service. In an attempt to justify this claim, a randomly selected sample of cable subscribers will be polled on this issue.

(a) Suppose that the advocate's claim is true, and suppose that a random sample of 7 cable subscribers is selected. Assuming independence, use an appropriate formula to compute the probability that 5 or more subscribers in the sample are not satisfied with their service. (Do not round intermediate calculations. Round final answer to p in 2 decimal place. Round other final answers to 4 decimal places.)

Binomial, n = ___________ , p = ____________

Probability = ___________________

(b) Suppose that the advocate's claim is true, and suppose that a random sample of 20 cable subscribers is selected. Assuming independence, find: (Do not round intermediate calculations. Round final answer to p in 2 decimal place. Round other final answers to 4 decimal places.)

Binomial, n = ___________ , p = _______________

1. The probability that 12 or fewer subscribers in the sample are not satisfied with their service.

Probability _____________

2. The probability that more than 14 subscribers in the sample are not satisfied with their service.

Probability ________________

3. The probability that between 14 and 16 (inclusive) subscribers in the sample are not satisfied with their service.

Probability _____________________

4. The probability that exactly 16 subscribers in the sample are not satisfied with their service.

Probability ______________________

(c) Suppose that when we survey 20 randomly selected cable television subscribers, we find that 12 are actually not satisfied with their service. Using a probability you found in this exercise as the basis for your answer, do you believe the consumer advocate's claim? Explain. (Round your answer to 4 decimal places.)

(Click to select) No Yes ; if the claim is true, the probability that 12 or fewer (Click to select) are are not satisfied is
only .

Expert Solution

orchestra answered 2 years ago

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