Question

In a​ survey, 39​% 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 200 pet owners and discovered that 73 of them spoke to their pet on the telephone. Does the veterinarian have a right to be​ skeptical? Use the alphaequals0.05 level of significance.

Answer 1

Explanation:

Hypotheses:

`H_0: p=0.39\\H_a:p<0.39`

(Left tailed test)

p = sample proportion

n = sample size = 200

Sample proportion = p = 73/200 = 0.365

Std error = 0.03404

p difference = 0.365-0.39 = 0.025

t = 0.025/se = 0.7344

df = 199

p value = 0.2317

Since p >0.05 accept null hypothesis

No,the veterinarian does not have a right to be​ skeptical because there is no statistical evidence to support his claim.