In a survey, 41 % of the respondents stated that they talk to their pets on the

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 0.41 versus Upper H 1 : p less than 0.41 (Round to two decimal places as needed.) Use technology to find the P-value. P-valueequals 0.107 (Round to three decimal places as needed.) Does the veterinarian have a right to be skeptical? A. There is not sufficient evidence to conclude that the population proportion of pet owners who talk to their pets on the answering machine or telephone is less than 41 %. B. There is sufficient evidence to conclude that the population proportion of pet owners who talk to their pets on the answering machine or telephone is less than 41 %. C. There is not sufficient evidence to conclude that the population proportion of pet owners who talk to their pets on the answering machine or telephone is 41 %. D. There is sufficient evidence to conclude that the population proportion of pet owners who talk to their pets on the answering machine or telephone is not 41 %.

Explanation / Answer

p - value = 0.107

Level of significance = 0.01

Since p - value is greater than 0.01, we do not reject Ho and conclude that there is not sufficient evidence to conclude that the population proportion of pet owners who talk to their pets on the answering machine or telephone is less than 41%.

Option A is correct.

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