Question

the In a survey, 32% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so he randomly selected 180 pet owners and discovered that 55 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a=0.1 level of significance Because np. (1-P) 10 the sample size is 5% of the population size, and the sample requirements for testing the hypothesis satisfied (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho versus H, (Type integers or decimals. Do not round) Find the test statistic, 20 20- (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 has a right to be skeptical There is sufficient evidence to conclude that the true proportion of pet owners who talk to their pots on the telephone is less than 32% OB. 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 32% OC. 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

Answer 1

180 n=180 X=55 d=0) P=0.32 2 - X = = 6:39 =0:31 Because n po (-P.) = 180*0.32 (1-0.32)=39.210 the sample size is less than 5% of the population size, and the sample is given to be fandom the dequidements for testing the hypothesis (are satisfied- The nule and alternative hypothesis are in. Ho: P = 0.32 Haip < 0. 0.32 (Left Hailed test Test statistic!- P 0.31–0:32 za PC-P) 0:32 (1–0:38) 180 0.29 z = P-value = P(Z < Ztest) =P(Z2-0.29) (using Z-table) Pavadue = 0.3859 Counded to three decimal) P-value= 0.386 P-value > a >)

Since P-value greater than significance we fail to Reject Ho level so option [C The Veterinadian does not have a sight to be skeptical. There is not sufficient evidence to conclude that the true proportion of Pet owners who talk to their Pets on teephone is less than 32%