Question

Suppose a marketing company wants to determine the current
proportion of customers who click on ads on their smartphones. It
was estimated that the current proportion of customers who click on
ads on their smartphones is 0.42 based on a random sample of 100
customers.

Compute a 92% confidence interval for the true proportion of
customers who click on ads on their smartphones and fill in the
blanks appropriately.

< p < (round to 3 decimal
places)

Answer #1

Solution :

Given that,

n = 100

Point estimate = sample proportion = = 0.42

1 - = 1-0.42=0.58

At 92% confidence level

Z/2=1.751
( Using z table )

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

= 1.751(((0.42*0.58) /100 )

= 0.086

A 95% confidence interval for population proportion p is ,

- E < p < + E

0.42-0.086 < p < 0.42+0.086

0.334<p<0.506

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proportion of customers who click on ads on their smartphones. It
was estimated that the current proportion of customers who click on
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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
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1.960
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2.576
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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 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.

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z0.10
z0.05
z0.04
z0.025
z0.01
z0.005
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