Question

A Popeyes store manager wants a 90% confidence interval to estimate the proportion of customers who have tried their new chicken sandwich. She is also seeking a half-length of no more than 0.05 (B = 0.05). How many customers does the manager need to survey? (NOTE: Express the MULTIPLIER to three decimal places for your calculation & assume the MOST conservative estimate for the proportion.)

Answer #1

The following information is provided,

Significance Level, α = 0.1, Margin of Error, E = 0.05

Assume estimate of proportion p is, p = 0.5

The critical value for significance level, α = 0.1 is 1.645.

The following formula is used to compute the minimum sample size
required to estimate the population proportion p within the
required margin of error:

n >= p*(1-p)*(zc/E)^2

n = 0.5*(1 - 0.5)*(1.645/0.05)^2

n = 270.6

Therefore, the sample size needed to satisfy the condition n
>= 270.6 and it must be an integer number, we conclude that the
minimum required sample size is n = 271

Ans : Sample size, n = 271

A Popeyes store manager wants a 90% confidence interval to
estimate the proportion of customers who have tried their new
chicken sandwich. She is also seeking a half-length of no more than
0.05 (B = 0.05). How many customers does the manager need to
survey? (NOTE: Express the MULTIPLIER to three decimal places for
your calculation.)
A 99
B 269
C 270
D 271

A department store manager wants to estimate with a 99%
confidence interval the mean amount spent by all customers at the
store. How large of a sample should be taken if the manager is
willing to tolerate an error of $3. Assume the population standard
deviation is $31.

A researcher wants to estimate, with 90% confidence, the
proportion of people who use Instagram as their main social media.
A previous study showed that 42% of those interviewed had a
computer at their home. The researcher wishes to be accurate within
3% of the true proportion. How many people must the researcher
survey? Show formula, substuon, a

Suppose the manager of a shoe store wants to determine the
current percentage of customers who are males. How many customers
should the manager survey in order to be 98% confident that the
estimated (sample) proportion is within 5 percentage points of the
true population proportion of customers who are males? z0.10 z0.05
z0.04 z0.025 z0.01 z0.005 1.282 1.645 1.751 1.960 2.326 2.576 Use
the table of values above?

Suppose the manager of a shoe store wants to determine the
current percentage of customers who are males. How many customers
should the manager survey in order to be 92% confident that the
estimated (sample) proportion is within 5 percentage points of the
true population proportion of customers who are males?
z0.10
z0.05
z0.04
z0.025
z0.01
z0.005
1.282
1.645
1.751
1.960
2.326
2.576
Use the table of values above.

Suppose the manager of a shoe store wants to determine the
current percentage of customers who are males. How many customers
should the manager survey in order to be 99% confident that the
estimated (sample) proportion is within 5 percentage points of the
true population proportion of customers who are males?
z0.10
z0.05
z0.04
z0.025
z0.01
z0.005
1.282
1.645
1.751
1.960
2.326
2.576
Use the table of values above.

Suppose the manager of a shoe store wants to determine the
current percentage of customers who are males. How many customers
should the manager survey in order to be 80% confident that the
estimated (sample) proportion is within 6 percentage points of the
true population proportion of customers who are males?
z0.10
z0.05
z0.04
z0.025
z0.01
z0.005
1.282
1.645
1.751
1.960
2.326
2.576
Use the table of values above.

Suppose the manager of a shoe store wants to determine the
current percentage of customers who are males. How many customers
should the manager survey in order to be 95% confident that the
estimated (sample) proportion is within 6 percentage points of the
true population proportion of customers who are males?
z0.10
z0.05
z0.04
z0.025
z0.01
z0.005
1.282
1.645
1.751
1.960
2.326
2.576
Use the table of values above.
Provide your answer below:

A college registrar wants to estimate the proportion of all
students at the college who are dissatisfied with the online
registration procedure. What is the most conservative estimate of
the minimum sample size that would limit the margin of error to be
within 0.045 of the population proportion for a 95% confidence
interval?

The manager of a grocery store wants to determine what
proportion of people who enter his store are his regular
customers. What size sample should he take so that at
99% confidence the margin of error will not be more than 0.1?
(Hint: if there is no prior knowledge about the proportion, use
0.5).

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