# 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
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
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)
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)
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)
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)
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)

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