Tn a survey of owners, 37% ofthe respondents stated that they talk to their pets

Question

Tn a survey of owners, 37% ofthe respondents stated that they talk to their pets on the answer machine or telephone. Avet finds this hard to believe, claiming that 37% is too high Test the hypotheses: Ho: p " 0.37 Ha:p0.37 (a) What does the 'p' in the hypotheses represent? o The proportion of pet owners in the sample who talk to their pets in this way o The proportion of pet owners in the population who talk to their pets in this way The proportion of pet owners in the sample who do not talk to their pets in this way 0 The proportion of pet owners in the population who do not talk to their pets in this way. (b) The vet randomly selected 200 pet owners and found that 60 of them talk to their pets in this way, Is this a large enough sample to proceed with the significance test? o Yes, 200(o.30) and 20o(o.70) are both at least 15. o Yes, because the population is normal. o Yes, 200(o.37) and 200(0.63) are both at least 15 Yes, because n is greater than 30 (c)If the p-value-0.02 and ?-0.0s, which of the following is correct? Reject the null hypothesis. There is sufficient evidence that the proportion of pet owners who talk to their pets this way is about 37%. Do not reject the null hypothesis. There is sufficent evidence that the proportion of pet owners who tak to their pets this way is about 37%. Reject the null hypothesis. There is sufficient evidence that the proportion of pet owners who talk to their pets this way is less than 37% Do not reject the rul' hypothesis. There is sumcent evidence that the proportion of pet owners who talk to their pets this way is less than 37% O O 0

Explanation / Answer

a)

the proportion of pet owners in the population who talk to their pets in this way

b)

Yes because 200*(0.37) and 200*(0.37) are both at least 15.

c)3rd option

rject the null hypothesis.there is sufficient evidence ,..........is less than 37%.

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