# Indiana Wesleyan University Hypothesis for the Proportion Worksheet

Z Test of Hypothesis for the ProportionData

Null Hypothesis

p=

Level of Significance

Number of Items of Interest

Sample Size

Intermediate Calculations

Sample Proportion

Standard Error

Z Test Statistic

#DIV/0!

#DIV/0!

#DIV/0!

Two-Tail Test

Lower Critical Value

Upper Critical value

p -Value

#DIV/0!

#NUM!

#NUM!

#DIV/0!

Lower-Tail Test

Lower Critical Value

p -Value

#DIV/0!

#NUM!

#DIV/0!

Upper-Tail Test

Upper Critical Value

p -Value

#DIV/0!

#NUM!

#DIV/0!

DIRECTIONS:

Arrival Delay

On time flights. A flight is on time if it arrives no later than 15 minutes

after the scheduled arrival time. Test the claim that made by CNN that

79.5% of flights are on time. Use a .05 significance level.

-32

-25

Enter the hypothesis test amount.

Enter alpha value.

(1 point)

-26

Enter how many flights were on time.

(1 point)

(1 point)

-6

5

Enter the sample size.

(1 point)

-15

-17

Access this helpful video: Video

State the results and interpret the results here:

( 4 points)

-36

-29

-18

-12

-35

2

-33

-5

0

0

-1

These 2 sections are not

needed in this problem

because it is an equality test

with 2 tails.

-33

-5

-14

-39

-21

-32

-5

-32

-13

-9

-19

49

-30

-23

14

-21

-32

11

-23

28

103

-19

-5

-46

13

-3

13

106

-34

-24

(negatives mean it arrived early)

How many flights are in this sample?

(1 point)

How many flights were on time?

(1 point)

t Test for the Hypothesis of the Mean

Data

Null Hypothesis

m=

Level of Significance

Sample Size

Sample Mean

Sample Standard Deviation

Intermediate Calculations

Standard Error of the Mean

Degrees of Freedom

t Test Statistic

Two-Tail Test

Lower Critical Value

Upper Critical Value

p -Value

#DIV/0!

Calculations Area

For one-tailed tests:

TDIST value

1-TDIST value

#DIV/0!

-1

#DIV/0!

#NUM!

#NUM!

#DIV/0!

#DIV/0!

#DIV/0!

Lower-Tail Test

Lower Critical Value

p -Value

#DIV/0!

#NUM!

#DIV/0!

Upper-Tail Test

Upper Critical Value

p -Value

#DIV/0!

#NUM!

#DIV/0!

DIRECTIONS:

Calculate sample mean and standard deviation from sample data.

Test the claim that mean body temperature of the population is 98.6

degrees as is commonly believed. Use a .05 significance level.

TEMP in F

98.6

98.6

Enter the hypothesis test amount.

Enter alpha value.

(1 point)

98

Enter the sample size.

(1 point)

(1 point)

98

99

Enter the sample mean.

Enter the sample standard deviation.

(1 point)

(1 point)

98.4

98.4

Access this helpful video: Video

State the results and interpret the results here:

( 3 points)

98.4

98.4

98.6

98.6

98.8

98.6

97

97

98.8

97.6

97.7

98.8

98

98

98.3

98.5

97.3

These 2 sections are not

needed in this problem

because it is an equality test

with 2 tails.

98.7

97.4

98.9

98.6

99.5

97.5

97.3

97.6

98.2

99.6

98.7

99.4

98.2

98

98.6

98.6

97.2

98.4

98.6

98.2

98

97.8

98

98.4

98.6

98.6

97.8

99

96.5

97.6

98

96.9

97.6

97.1

97.9

98.4

97.3

98

97.5

97.6

98.2

98.5

98.8

98.7

97.8

98

97.1

97.4

99.4

98.4

98.6

98.4

98.5

98.6

98.3

98.7

98.8

99.1

98.6

97.9

98.8

98

98.7

98.5

98.9

98.4

98.6

97.1

97.9

98.8

98.7

97.6

98.2

99.2

97.8

98

98.4

97.8

98.4

97.4

98

97

What is the mean temperature?

(1 point)

What is the standard deviation?

(1 point)

t Test for the Hypothesis of the Mean

Data

Null Hypothesis

m=

Level of Significance

Sample Size

Sample Mean

Sample Standard Deviation

Intermediate Calculations

Standard Error of the Mean

Degrees of Freedom

t Test Statistic

#DIV/0!

-1

#DIV/0!

Two-Tail Test

Lower Critical Value

Upper Critical Value

p -Value

#NUM!

#NUM!

#DIV/0!

#DIV/0!

Calculations Area

For one-tailed tests:

TDIST value

1-TDIST value

#DIV/0!

#DIV/0!

Lower-Tail Test

Lower Critical Value

p -Value

#NUM!

#DIV/0!

#DIV/0!

Upper-Tail Test

Upper Critical Value

p -Value

#NUM!

#DIV/0!

#DIV/0!

DIRECTIONS:

On time flights. A flight is on time if it arrives no later than 15 minutes

after the scheduled arrival time. Test the claim that the mean departure

delay time for all flights is less than 12.0 minutes. Use .01 level of

significance.

Enter the hypothesis test amount.

Enter alpha value.

(1 point)

Enter the sample size.

(1 point)

(1 point)

Enter the sample mean.

Enter the sample standard deviation.

(1 point)

(1 point)

Access this helpful video: Video

This section is not needed in this problem

because it is a lower tail test with 1 tail.

State the results and interpret the results here:

( 2 points)

This section is not needed in this problem

because it is a lower tail test with 1 tail.

12

123

1

4

Departure Delay (negatives mean it arrived early)

-2 How many flights are in this sample?

-1

(1 point)

-2

2

-2 What is the mean?

0

-2

(1 point)

-3

-5 What is the standard deviation?

-4

2

-2

22

-11

7

0

-5

3

-8

8

-2

-8

-3

-4

19

-4

-5

-1

-4

73

0

1

13

-1

-8

32

18

60

142

-1

-11

-1

47

13

(1 point)

12

123

1

4

t Test for the Hypothesis of the Mean

Data

Null Hypothesis

m=

Level of Significance

Sample Size

Sample Mean

Sample Standard Deviation

Intermediate Calculations

Standard Error of the Mean

Degrees of Freedom

t Test Statistic

#DIV/0!

-1

#DIV/0!

Two-Tail Test

Lower Critical Value

Upper Critical Value

p -Value

#NUM!

#NUM!

#DIV/0!

#DIV/0!

Calculations Area

For one-tailed tests:

TDIST value

1-TDIST value

#DIV/0!

#DIV/0!

Lower-Tail Test

Lower Critical Value

p -Value

#NUM!

#DIV/0!

#DIV/0!

Upper-Tail Test

Upper Critical Value

p -Value

#NUM!

#DIV/0!

#DIV/0!

DIRECTIONS:

Brain volume. Test the claim that the mean brain volume for the

population is equal to 1100 cm2. Use a .01 significance level.

Enter the hypothesis test amount.

Enter alpha value.

(1 point)

Enter the sample size.

(1 point)

(1 point)

Enter the sample mean.

Enter the sample standard deviation.

(1 point)

(1 point)

Access this helpful video: Video

State the results and interpret the results here:

( 2 points)

This section is not needed in this problem

because it is a 2-tail test.

This section is not needed in this problem

because it is a 2-tail test.

Brain Volume (negatives mean it arrived early)

963 How many readings are in this sample?

1027

(1 point)

1272

1079

1070 What is the mean?

1173

1067

(1 point)

1347

1100 What is the standard deviation?

1204

(1 point)

t Test for the Hypothesis of the Mean

Data

Null Hypothesis

m=

Level of Significance

Sample Size

Sample Mean

Sample Standard Deviation

Intermediate Calculations

Standard Error of the Mean

Degrees of Freedom

t Test Statistic

#DIV/0!

-1

#DIV/0!

Two-Tail Test

Lower Critical Value

Upper Critical Value

p -Value

#NUM!

#NUM!

#DIV/0!

#DIV/0!

Calculations Area

For one-tailed tests:

TDIST value

1-TDIST value

#DIV/0!

#DIV/0!

Lower-Tail Test

Lower Critical Value

p -Value

#NUM!

#DIV/0!

#DIV/0!

Upper-Tail Test

Upper Critical Value

p -Value

#NUM!

#DIV/0!

#DIV/0!

DIRECTIONS:

Blood pressure. Test the claim that the mean female population systolic

blood pressure level is less than 120 mm Hg. Use a .05 level of

significance.

Enter the hypothesis test amount.

Enter alpha value.

Systolic blood pressure

(1 point)

Enter the sample size.

(1 point)

(1 point)

Enter the sample mean.

Enter the sample standard deviation.

(1 point)

(1 point)

Access this helpful video: Video

This section is not needed in this problem

because it is a lower tail test with 1 tail.

State the results and interpret the results here:

( 2 points)

This section is not needed in this problem

because it is a lower tail test with 1 tail.

Systolic blood pressure (negatives mean it arrived early)

122 How many readings are in this sample?

120

(1 point)

90

150

132 What is the mean?

88

100

(1 point)

114

94 What is the standard deviation?

100

110

188

106

130

126

90

168

110

98

112

116

128

116

112

126

94

120

94

120

148

126

126

112

120

110

98

130

114

174

108

(1 point)

t Test for the Hypothesis of the Mean

Data

Null Hypothesis

m=

Level of Significance

Sample Size

Sample Mean

Sample Standard Deviation

Intermediate Calculations

Standard Error of the Mean

Degrees of Freedom

t Test Statistic

#DIV/0!

-1

#DIV/0!

Two-Tail Test

Lower Critical Value

Upper Critical Value

p -Value

#NUM!

#NUM!

#DIV/0!

#DIV/0!

Calculations Area

For one-tailed tests:

TDIST value

1-TDIST value

#DIV/0!

#DIV/0!

Lower-Tail Test

Lower Critical Value

p -Value

#NUM!

#DIV/0!

#DIV/0!

Upper-Tail Test

Upper Critical Value

p -Value

#NUM!

#DIV/0!

#DIV/0!

DIRECTIONS:

Voltage. Test the claim that the mean voltage is 120 volts. Use .01

level of significance.

Enter the hypothesis test amount.

Enter alpha value.

(1 point)

Enter the sample size.

(1 point)

(1 point)

Enter the sample mean.

Enter the sample standard deviation.

(1 point)

(1 point)

Access this helpful video: Video

State the results and interpret the results here:

( 2 points)

This section is not needed in this problem

because it is a 2-tail test.

This section is not needed in this problem

because it is a 2-tail test.

Voltage (negatives mean it arrived early)

123.8 How many readings are in this sample?

123.9

(1 point)

123.9

123.3

123.4 What is the mean?

123.3

123.3

(1 point)

123.6

123.5 What is the standard deviation?

123.5

123.5

123.7

123.6

123.7

123.9

124.0

124.2

123.9

123.8

123.8

124.0

123.9

123.6

123.5

123.4

123.4

123.4

123.4

123.3

123.3

123.5

123.6

123.8

123.9

123.9

123.8

123.9

123.7

123.8

123.8

(1 point)