Consider the following hypothesis test: H0: p 0.75 Ha: p < 0.75 A sample of 300
ID: 3388238 • Letter: C
Question
Consider the following hypothesis test:
H0: p 0.75
Ha: p < 0.75
A sample of 300 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use = .05.
Round your answers to four decimal places.
a. p = 0.64
p-value ____
Conclusion:
p-value (greater than or equal to 0.05, rejectgreater than 0.05, do not rejectless than or equal to 0.05, rejectless than 0.05, rejectequal to 0.05, do not rejectnot equal to 0.05, do not rejectItem ) H0
b. p = 0.72
p-value_____
Conclusion:
p-value (greater than or equal to 0.05, rejectgreater than 0.05, do not rejectless than or equal to 0.05, rejectless than 0.05, rejectequal to 0.05, do not rejectnot equal to 0.05, do not rejectItem )H0
c. p = 0.7
p-value_____
Conclusion:
p-value (greater than or equal to 0.05, rejectgreater than 0.05, do not rejectless than or equal to 0.05, rejectless than 0.05, rejectequal to 0.05, do not rejectnot equal to 0.05, do not rejectItem )H0
d. p = 0.76
p-value ______
Conclusion:
p-value (greater than or equal to 0.05, rejectgreater than 0.05, do not rejectless than or equal to 0.05, rejectless than 0.05, rejectequal to 0.05, do not rejectnot equal to 0.05, do not rejectItem)H0
Explanation / Answer
Consider the following hypothesis test:
H0: p 0.75
Ha: p < 0.75
A sample of 300 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use = .05.
Round your answers to four decimal places.
a. p = 0.64
p-value 0.0000
Conclusion:
p-value (less than 0.05, reject H0
Hypothesis test for proportion vs hypothesized value
Observed
Hypothesized
0.64
0.75
p (as decimal)
192/300
225/300
p (as fraction)
192.
225.
X
300
300
n
0.025
std. error
-4.40
z
5.41E-06
p-value (one-tailed, lower)
b. p = 0.72
p-value 0.1151
Conclusion:
p-value (greater than 0.05, do not reject H0
Hypothesis test for proportion vs hypothesized value
Observed
Hypothesized
0.72
0.75
p (as decimal)
216/300
225/300
p (as fraction)
216.
225.
X
300
300
n
0.025
std. error
-1.20
z
.1151
p-value (one-tailed, lower)
c. p = 0.7
p-value 0.0228
Conclusion:
p-value less than 0.05, reject H0
Hypothesis test for proportion vs hypothesized value
Observed
Hypothesized
0.7
0.75
p (as decimal)
210/300
225/300
p (as fraction)
210.
225.
X
300
300
n
0.025
std. error
-2.00
z
.0228
p-value (one-tailed, lower)
d. p = 0.76
p-value 0.6554
Conclusion:
p-value (greater than 0.05, do not reject H0
Hypothesis test for proportion vs hypothesized value
Observed
Hypothesized
0.76
0.75
p (as decimal)
228/300
225/300
p (as fraction)
228.
225.
X
300
300
n
0.025
std. error
0.40
z
.6554
p-value (one-tailed, lower)
Hypothesis test for proportion vs hypothesized value
Observed
Hypothesized
0.64
0.75
p (as decimal)
192/300
225/300
p (as fraction)
192.
225.
X
300
300
n
0.025
std. error
-4.40
z
5.41E-06
p-value (one-tailed, lower)
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