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STATS - Chapters 7, 8, 9
Contributed by: Lehnert

To estimate p, you will use the proportion p hat = 150/250 of your

sample who favored eliminating the carnival. The number p hat is a:

bias     

statistic

parameter       

mean

To estimate p, you will use the proportion p hat = 150/250 of your

sample who favored eliminating the carnival. A 95% confidence

interval for the population proportion p is:

150 +/- .03

.6 +/- .03

.6 +/- .06

150 +/- .06

The variation from sample to sample when the poll is repeated

is described by the standard deviation (1.5%). We would like

this variation to be small, so that repeated polls give almost the

same result. To reduce the standard deviation, we could

 use an SRS of size less than 1000.

use an SRS of size greater than 1000.

use a confidence level less than 95%.

Both (b) and (c).

If a significance test gives P-value 0.005,

the margin of error is 0.005.

the null hypothesis is very likely to be true.

we do have good evidence against the null hypothesis.

we do not have good evidence against the null hypothesis.

If a significance test gives a P-value of 0.50,

the margin of error is 0.50

we do not have good evidence against the null hypothesis

 we do have good evidence against the null hypothesis

the null hypothesis is very likely to be true

If I toss a fair coin five times and the outcomes are TTTTT,

then the probability that tails appears on the next toss is

.

0.5

less than 0.5

greater than 0.5

1

# of people
Probability

A household is a group of people living together at the same

address. Choose one American household at random and

record how many people it contains. Here are the probabilities:

 What is the probability that the household chosen contains only

one person?

1
?

.15

.25

.35

 .75
.32
2
.17
3
.16
4
.07
5
.02
6
≥7
.01
# of people
Probability

What is the probability that a randomly chosen household

contains 4 or more people?

A household is a group of people living together at the same

address. Choose one American household at random and

record how many people it contains. Here are the probabilities:

1
?
.32
2
.17
3

.10

.16

.26

 .90
.16
4
.07
5
.02
6
≥7
.01

One digit simulates one shot; 4 and 7 are a hit, other digits are a miss.

Two digits simulate one shot; 00 to 47 are a hit and 48 to 99

      are a miss.

One digit simulates one shot; odd digits are a hit and even digits

      are a miss.

Two digits simulate one shot; 00 to 46 are a hit and 47 to 99

     are a miss.

A basketball player makes 47% of her shots from the field

during the season. To simulate whether a shot hits or misses y

ou would assign random digits as follows:

A grocery chain runs a prize game by giving each customer a

ticket that may win a prize when a box is scratched. Printed on

the ticket are the following probabilities for a customer who

shops once a week:

Amount won
$500
 $50
$10
Probability
.01
.05
.20

.50

.26

.74

.69

What is the probability of

winning nothing?

A grocery chain runs a prize game by giving each customer a

ticket that may win a prize when a box is scratched. Printed on

the ticket are the following probabilities for a customer who

shops once a week:

Amount won
$500
 $50
$10
Probability
.01
.05
.20
 $9.50

$54.50

$560.00

$0.26

What is the expected value

of a customer's winnings in

this game?

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