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marusya05 [52]
3 years ago
5

Gary is studying the prevalence of regional dialects. He surveyed 351 people in a region and asked what words they used for cert

ain things. Gary found that 292 of the respondents referred to soft drinks as "pop," as opposed to "soda" or "cola." Create a 90% confidence interval for the proportion of people in this region who refer to soft drinks as "pop." Use Excel to create the confidence interval, rounding to four decimal places.
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0

Answer:

Confidence interval = ( 0.7991, 0.8647 )

Step-by-step explanation:

Sample size = n = 351

number of successes = X = 292

Sample proportion = P = \frac{X}{n}

                                     =  \frac{292}{351}

                                     = 0.831908831

confidence interval = 90%

Critical Z value  = 1.6449   [by using excel]

Confidence interval = P ± Z \sqrt{P\frac{(1-P)}{n}}

Where P = Sample proportion

           Z = critical value

           n = sample size

Confidence interval =  0.831908831 ± 1.6449 \sqrt{0.831908831\frac{(1-0.831908831)}{351}}

                                = 0.831908831 ± 1.6449 × 0.0200

                                = 0.831908831 ± 0.032898

 Lower limit             = 0.831908831 - 0.032898 = 0.7991

Upper limit               = 0.831908831 + 0.032898 = 0.8647

Confidence interval = ( 0.7991, 0.8647 )

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Answer:

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Step-by-step explanation:

Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.

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(b)

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