In a survey, 41 % of the respondents stated that they talk to their pets on the
ID: 3040225 • Letter: I
Question
In a survey,
41
%
of the respondents stated that they talk to their pets on the answering machine or telephone. A veterinarian believed this result to be too high, so
he
randomly selected
150
pet owners and discovered that
54
of them spoke to their pet on the answering machine or telephone. Does the veterinarian have a right to be skeptical? Use the
alpha
equals0.01
level of significance.
What are the null and alternative hypotheses?
Upper H 0
:
p
equals
0.41versus
Upper H 1
:
p
less than
0.41
(Round to two decimal places as needed.)
Use technology to find the P-value.
P-valueequals
nothing(Round to three decimal places as needed.)
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.41
HA : p < 0.41
Hypothesis test results:
Hence,
P - value = 0.107
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 54 150 0.36 0.040158021 -1.2450813 0.1066Related Questions
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