Question

In: Statistics and Probability

Of the 550 people surveyed about their habit of drinking soda, 242 indicated that they drink...

Of the 550 people surveyed about their habit of drinking soda, 242 indicated that they drink soda everyday. Determine the lower bound of the 99% confidence interval of the true proportion of the people who drink soda everyday.

Write your answer with 4 decimal places.

Solutions

Expert Solution

Solution :

Given that,

n = 550

x = 242

= x / n = 0.44

1 - = 1 - 0.44 = 0.56

At 99% confidence level the z is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z/2 = Z0.005 = 2.576

Margin of error = E = Z / 2 * [( * (1 - ) / n]

= 2.576 * [(0.44 * 0.56) / 550]

= 0.0545

A 99% confidence interval for population proportion p is ,

- E < P < + E

0.44 - 0.0545 < p < 0.44 + 0.0545

0.3855 < p < 0.4945

(0.3855, 0.4945)

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Soda drinks (“pop) are fairly popular with Saskatchewan residents. People like to drink it with meals,...
Soda drinks (“pop) are fairly popular with Saskatchewan residents. People like to drink it with meals, as a refreshing drink on a hot day, as mix with alcoholic beverages, etc. The following describes recent changes in the Saskatchewan soda market: Consumption decreased from 30 million liters per month to 27 million liters per month; and The average price of soda pop increased from $2.00 per liter to $3.00 per liter. In a recent report, the Canadian Beverage Association (CBA) attributes...
Furniture Land surveyed 550 consumers and found that 478 were enthusiastic about a new home dècor...
Furniture Land surveyed 550 consumers and found that 478 were enthusiastic about a new home dècor it plans to show in its store in High Point. Construct the 99% confidence interval for the population proportion. (Round the final answers to 3 decimal places.) Confidence interval for the population proportion is  and  .
Furniture Land surveyed 550 consumers and found that 478 were enthusiastic about a new home dècor...
Furniture Land surveyed 550 consumers and found that 478 were enthusiastic about a new home dècor it plans to show in its store in High Point. Construct the 99% confidence interval for the population proportion. (Round the final answers to 3 decimal places.) Confidence interval for the population proportion is  and  .
Meaghan wants to study her friends’ drinking habits. Meaghan knows that people drink, on average, 0.6...
Meaghan wants to study her friends’ drinking habits. Meaghan knows that people drink, on average, 0.6 alcoholic beverages per day, with standard deviation 0.5. Meaghan investigates how many alcoholic drinks her 49 friends drink. Meaghan finds that her group of friends drinks, on average, 0.7 alcoholic beverages per day. Do Meaghan’s friends’ drinking habits differ significantly from people in general. In the provided space, type in the answers to the following questions. 1. Which statistical test would you use to...
8,500 people were surveyed about their recent electronics purchases. 3,149 of those surveyed have bought a...
8,500 people were surveyed about their recent electronics purchases. 3,149 of those surveyed have bought a cell phone in the last year, 1,508 have bought a tablet in the last year, and 925 have bought both. a) How many people bought at least one of the two? b) How many people didn’t buy a cell phone or a tablet?
The researcher surveyed adults about their exercise habits and experience of pain. 120 people responded to...
The researcher surveyed adults about their exercise habits and experience of pain. 120 people responded to the survey. The data were coded so that participants either did (or did not) experience elevated pain, and also based on whether or not the respondent indicated more versus less exercise. Less Exercise More Exercise Less Pain 24 11 More Pain 46 39 Conduct the 5 step hypothesis testing procedure to answer the question of whether there is an association between pain and exercise...
Out of 82 people surveyed about what kind of pet they have ( dog, cat or...
Out of 82 people surveyed about what kind of pet they have ( dog, cat or parrot ), 47 people people had a dog, 40 people had a cat and 11 people had a parrot, these are totals and are not mutually exclusive.. The 47 people with a dog may have also had other animals.    There were 5 people that had all 3 pets. There were 15 people who had a dog and a cat, not mutually exclusive. There were...
1) “Educating people with diabetes about the signs, symptoms, and self-management of delayed hypoglycemia after drinking...
1) “Educating people with diabetes about the signs, symptoms, and self-management of delayed hypoglycemia after drinking alcohol, especially when using insulin or insulin secretagogues, is recommended” – What is the mechanism behind this? 2) If you have a patient on insulin who binge drinks on the weekend, and unwilling to change this lifestyle, how will you counsel the patient as a pharmacist? 3) If you tell someone who drinks a 6 pack beer and 6 shots of hard liquor every...
People consume many liquids besides water: tea, soda, sports drinks, coffee. There is often debate about...
People consume many liquids besides water: tea, soda, sports drinks, coffee. There is often debate about whether these beverages are good hydration, or if they only dehydrate? What does the book have to say on this issue? What factors must be considered when drinking non-water hydrating beverages? Sodium is overabundant in the typical American diet because salt is often added in excessive quantities to processed foods. Find a food label that has an outrageous amount of sodium per serving. Then...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT