5. in a recent poll of 952 randomly selected adults, 17% of these surveyed said

Question

5. in a recent poll of 952 randomly selected adults, 17% of these surveyed said that they thought smoking should be made conpletely illegal. Complete problems 1-4 below. 1. Is it true that the large sample condition holds? Explain. (Yes, or no) the large sample condition (holds or does not hold) since (np^ or np^q^) = (need an integer or decimal do not round) and (square root p^q^/n or nq^) = (type integer or decimal do not round)
2. Is it true that the independence condition holds? Explain. A. Yes the independence condition holds because the probability of success and the probability of failure are not equal to 0. B. No the independence condition does not hold because the sample size is a large proportion of all adults. C. No the independence condition does not hold because the probability of success or the probability of failure are not large enough D. Yes the independence condition holds because the sample size is lower than 10% of the population which is adults.
3. Calculate the standard error SE= (Round to three decimal places as needed)

4. Choose the correct answer below and if necessary fill in th answer boxes within your choice A. The conditions of the central limit theorem apply and we are 95% confident that p, the population proportion of adults who think smoking should be completely illegal is between __% and __% B. The conditions of central limit do not apply 5. in a recent poll of 952 randomly selected adults, 17% of these surveyed said that they thought smoking should be made conpletely illegal. Complete problems 1-4 below. 1. Is it true that the large sample condition holds? Explain. (Yes, or no) the large sample condition (holds or does not hold) since (np^ or np^q^) = (need an integer or decimal do not round) and (square root p^q^/n or nq^) = (type integer or decimal do not round)
2. Is it true that the independence condition holds? Explain. A. Yes the independence condition holds because the probability of success and the probability of failure are not equal to 0. B. No the independence condition does not hold because the sample size is a large proportion of all adults. C. No the independence condition does not hold because the probability of success or the probability of failure are not large enough D. Yes the independence condition holds because the sample size is lower than 10% of the population which is adults.
3. Calculate the standard error SE= (Round to three decimal places as needed)

4. Choose the correct answer below and if necessary fill in th answer boxes within your choice A. The conditions of the central limit theorem apply and we are 95% confident that p, the population proportion of adults who think smoking should be completely illegal is between __% and __% B. The conditions of central limit do not apply 5. in a recent poll of 952 randomly selected adults, 17% of these surveyed said that they thought smoking should be made conpletely illegal. Complete problems 1-4 below. 1. Is it true that the large sample condition holds? Explain. (Yes, or no) the large sample condition (holds or does not hold) since (np^ or np^q^) = (need an integer or decimal do not round) and (square root p^q^/n or nq^) = (type integer or decimal do not round)
2. Is it true that the independence condition holds? Explain. A. Yes the independence condition holds because the probability of success and the probability of failure are not equal to 0. B. No the independence condition does not hold because the sample size is a large proportion of all adults. C. No the independence condition does not hold because the probability of success or the probability of failure are not large enough D. Yes the independence condition holds because the sample size is lower than 10% of the population which is adults.
3. Calculate the standard error SE= (Round to three decimal places as needed)

4. Choose the correct answer below and if necessary fill in th answer boxes within your choice A. The conditions of the central limit theorem apply and we are 95% confident that p, the population proportion of adults who think smoking should be completely illegal is between __% and __% B. The conditions of central limit do not apply

Explanation / Answer

1)Yes  the large sample condition holds since np^ =952*0.17=161.84 and nq^=790.16

2)D. Yes the independence condition holds because the sample size is lower than 10% of the population which is adults.

3)

SE= =sqrt(p(1-p)/n)=0.012

A. The conditions of the central limit theorem apply and we are 95% confident that p, the population proportion of adults who think smoking should be completely illegal is between 14.7% and 19.4%

for 95 % CI value of z= 1.960 margin of error E=z*std error                            = 0.0235 lower confidence bound=sample proportion-margin of error 0.1465 Upper confidence bound=sample proportion+margin of error 0.1935

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