only part 1, 3, 4 please  In the article “Explaining an Unusual Allergy,” appearing on the Everyday Health Network, Dr. A. Feldweg explained that allergy to sulfites is usually seen in patients with asthma. The typical reaction is a sudden increase in asthma symptoms after eating a food containing sulfites. Studies are performed to estimate the percentage of the nation’s 10 million asthmatics who are allergic to sulfites. In one survey, 38 of 500 randomly selected U.S. asthmatics were found to be allergic to sulfites. 95% confidence.  Determine the margin of error for the estimate of p. Obtain a sample size that will ensure a margin of error of at most 0.01 for a 95% confidence interval without making a guess for the observed value of ?̂ . Find a 95% confidence interval for p if, for a sample of the size determined in part (b), the proportion of asthmatics sampled who are allergic to sulfites in 0.071. Determine the margin of error for the estimate in part (c) and compare it to the margin of error specified in part (b). Repeat parts (b) – (d) if you can reasonably presume that the proportion of asthmatics sampled who are allergic to sulfites will be at most .10. Compare the results you obtained in parts (b)- (d) with those obtained in part (e).

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only part 1, 3, 4 please 

In the article “Explaining an Unusual Allergy,” appearing on the Everyday Health Network, Dr. A. Feldweg explained that allergy to sulfites is usually seen in patients with asthma. The typical reaction is a sudden increase in asthma symptoms after eating a food containing sulfites. Studies are performed to estimate the percentage of the nation’s 10 million asthmatics who are allergic to sulfites. In one survey, 38 of 500 randomly selected U.S. asthmatics were found to be allergic to sulfites. 95% confidence. 

  1. Determine the margin of error for the estimate of p.

  2. Obtain a sample size that will ensure a margin of error of at most 0.01 for a 95%

    confidence interval without making a guess for the observed value of ?̂ .

  3. Find a 95% confidence interval for p if, for a sample of the size determined in part (b),

    the proportion of asthmatics sampled who are allergic to sulfites in 0.071.

  4. Determine the margin of error for the estimate in part (c) and compare it to the margin

    of error specified in part (b).

  5. Repeat parts (b) – (d) if you can reasonably presume that the proportion of asthmatics

    sampled who are allergic to sulfites will be at most .10.

  6. Compare the results you obtained in parts (b)- (d) with those obtained in part (e).

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