Question

In a survey, 44% 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 240 pet owners and discovered that 98 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a= 0.01 level of significance. 5% of the population size, and the sample V the requirements for testing the hypothesis satisfied. Because npo (1-P) = UL 10, the sample size is (Round to one decimal place as needed.) What are the null and alternative hypotheses? Hov versus H: VO (Type integers or decimals. Do not round.) Find the test statistic, 20- Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Does the veterinarian have a right to be skeptical? O A. The veterinarian does not have a right to be skeptical. There is not sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is less than 44%. O B. The veterinarian has a right to be skeptical. There is sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is less than 44%. O C. The veterinarian has a right to be skeptical. There is sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is not 44%. O D. The veterinarian does not have a right to be skeptical. There is not sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is 44%.

Answer 1

solution- Given that, n= 240 x= a8 $ = + = a8 = 0.4083 240 Po=44% = 0.44 He: p=0-44 Hq p *0.44 This is two-tailed test I Test statistic z = ľ-po I POCI-Po) 0.4083-0.44 [0.4461-0.44) 240 2 = 0.988

the test statistic = 0.988 P-value = 0.323 0.323 P-value 20.01 > 2 fail to reject Ho. D) The veterinarian does not have to be skepticd. there is not sufficent evidence to concluod that the true proportion of pet owners who talk to I their pets on the telephone is not equal 44%