In a survey, 41% of the respondents stated that they talk to their pets on the a
ID: 3152961 • Letter: I
Question
In a survey, 41% of the respondents stated that they talk to their pets on the answering machine or telephone, A veteniration believed this result to be too high, so he randomly selected 150 pert owners and discovered that 54 of them spoke to their pet on the answering machine or telelphone Does the veterinarian have a right to be sieplical? Use the it = 0.01 level of significance. what are the full and alterative hypetheses? H_0: P versus H_1: P Use technology to find the P value P value = Does the velatervaion have a right to be skeptical? A Ther is sufficient evidence to conclude that the true proportion of pert owners who talk to their pets on the answering machine or telephone is less than 41% B. There is net sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the answering machine or telephone is less than 41%. C. There is sufficient evidence to conclude that the true proportion of per owners to talk to their pets on the answering machine or telephone is not 41%.Explanation / Answer
a)
Formulating the null and alternatuve hypotheses,
Ho: p >= 0.41
Ha: p < 0.41 [ANSWER]
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b)
As we see, the hypothesized po = 0.41
Getting the point estimate of p, p^,
p^ = x / n = 0.36
Getting the standard error of p^, sp,
sp = sqrt[po (1 - po)/n] = 0.040158021
Getting the z statistic,
z = (p^ - po)/sp = -1.245081269
As this is a 1 tailed test, then, getting the p value,
p = 0.106550939 [ANSWER, P VALUE]
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c)
significance level = 0.01
As P > 0.01, we FAIL TO REJECT THE NULL HYPOTHESIS.
OPTION B: There is not sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the answering machine or telephone is less than 41%. [ANSWER]
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