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sergey [27]
2 years ago
3

A cell phone provider has the business objective of wanting to estimate the proportion of subscribers who would upgrade to a new

cell phone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers. The results indicate that 120 of the subscribers would upgrade to a new cell phone at a reduced cost. Complete parts​ (a) and​ (b) below. a. Construct a 99​% confidence interval estimate for the population proportion of subscribers that would upgrade to a new cell phone at a reduced cost. Round to 4 decimal places.
Business
1 answer:
frez [133]2 years ago
3 0

Answer:

99% confidence interval estimate for the population proportion of subscribers that would upgrade to a new cell phone at a reduced cost is between a lower limit of 0.1908 and an upper limit of 0.2892

Explanation:

Confidence interval = p + or - zsqrt [p(1-p) ÷ n]

p is sample proportion = 120/500 = 0.24

n is the number of subscribers sampled = 500

Confidence level (C) = 99% = 0.99

Significance level = 1 - C = 1 - 0.99 = 0.01

To obtain z, divide the significance level by 2

0.01/2 = 0.005 = 0.5%

The critical value (z) at 0.5% significance level is 2.576

zsqrt[p(1-p) ÷ n] = 2.576sqrt[0.24(1-0.24) ÷ 500] = 2.576sqrt[0.1824 ÷ 500] = 2.576sqrt[3.648×10^-4] = 2.576×0.0191 = 0.0492

Lower limit = p - 0.0492 = 0.24 - 0.0492 = 0.1908

Upper limit = p + 0.0492 = 0.24 + 0.0492 = 0.2892

99% confidence interval is between 0.1908 and 0.2892

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Consider a hypothetical closed economy in which households spend $0.70 of each additional dollar they earn and save the remainin
Gekata [30.6K]

Answer:

$0.70 and 3.3

Explanation:

Data provided in the question

Household spending for each additional dollar = $0.70

And, the remaining amount = $0.30

So in the given case,

The marginal propensity to consume (MPC) = household spending for each additional dollar i.e $0.70

And, the Spending multiplier is

= 1 ÷ 1 - MPC

= 1 ÷ 1 - $0.70

= 1 ÷ $0.30

= 3.3

5 0
2 years ago
A bloomberg businessweek north american subscriber study collected data from a sample of 2861 subscribers. fifty-nine percent of
ollegr [7]

a. The population of this study consists of all subscribers to Bloomberg Newsweek in North America.

b. Quantitative variables are those that can be measured numerically. Annual income is a quantitative variable since it can be expressed in numbers.  

c. Categorical variables are those that can’t be quantified. They can only take on a fixed number of values. In this case, the question ‘do you own an American express credit card’ can take on only two values – Yes or No. So, the ownership of an American Express credit card is a categorical variable.

d. The data above gives two different values that describe the same population at the same time, it involves cross-sectional data.

Time-series data refers to data that is collected at equally spaced time intervals. For e.g. production of wheat in each year for the last 10 years, the amount of rainfall received over each of the last five years etc.

Cross-sectional data refers to data from many (similar)individual groups at one given point in time. For e.g. Prices of different varieties of corn on a particular day.

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4 0
2 years ago
Show the total cost expression and calculate the EOQ for an item with holding cost rate 18%, unit cost $8.00, annual demand of 4
torisob [31]

Answer:

Total cost = Total ordering cost + Total holding cost

Total cost = DCo     + QH

                     Q              2

Where

D = Annual demand

Co = Ordering cost per order

Q = EOQ

H = Holding cost per item per annum

D = 40,000 units

Co = $48

H = 18% x $8.00 = $1.44

EOQ = √2DCo

                H

EOQ = √2 x 40,000 x $48

                     $1.44

EOQ = 1,633 units

Explanation:

EOQ equals 2 multiplied by annual demand and ordering cost divided by holding cost per item per annum. The holding cost per item per annum is calculated as holding cost rate multiplied by unit cost.

7 0
2 years ago
Basic earnings per share ignores:A. All potential common shares.B. Some potential common shares, but not others.C. Dividends dec
Aleksandr [31]

Answer:

A. All potential common shares.

Explanation:

Basic earnings per share ignores all potential common shares.

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