In a survey, 35% of the respondents stated that they talk to their pets on the t

Question

In a survey, 35% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selected 210 pet owners and discovered that 72 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the = 0.01 evel of significance Because nPo(1-Po) = requirements for testing the hypothesis (Round to one decimal place as needed.) | 10, the sample size is 5% of the population size, and the sampl | the | satisfied

Explanation / Answer

(a) n = 210

p0 = 0.35

Conditions for hypothesis testing:

( i) np0 (1- p0) = 210 X 0.35 X 0.65 = 47.775 > 10

(ii) Sample size = n = 210 is greater than 5% of population

(ii) sample is andom and independent.

So, Answer to Question (1) is:

Because np0 (1-p0) = 47.8 > 10, the sample size is greater than 5% of the population, and the sample is random and independent, the reuirements for testing the hypothesis are satisfied.

Question (2):

n = 1056

p0 = 0.30

(i) np0 (1-p0) = 1056 X 0.30 X 0.70 = 221.76 > 10

n = 285 > 5% of population size

(iii) random and independent sample

So,

So, Answr to Question (2) is:

Because np0 (1-p0) = 221,8> 10, the sample size is greater than 5% of the population, and the sample is random and independent, the reuirements for testing the hypothesis are satisfied.

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