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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 0.1066
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