Solve the above and find the p-value. Also is there sufficient evidence or not?

Question

Solve the above and find the p-value.

Also is there sufficient evidence or not?

because the p-value is greater than the level of significance. Therefore you do or do not reject the null hypothesis?

In a survey, 37% of the respondents stated that they talk to their pets on the answering machine or telephone. A veterinarian believed this result to be too high, so she randomly selected 250 pet owners and discovered that 85 of them spoke to their pet on the answering machine or telephone. Does the veterinarian have a right to be skeptical? Use the 0.01 level of significance. What are the null and alternative hypotheses? H0 : p versus H1 p

Explanation / Answer

H0 :p = 0.37

Ha : p < 0.37

sample proportion = 85/250 = 0.34

Here sample size = 250

Hypothesized proportion = 0.37

Here standard error of sample proportion = sqrt (p0 * (1-p0)/N] = sqrt [0.37 * 0.63/250] = 0.03054

here test statistic

Z = (p^ - 0.37)/ se0 = (0.34 - 0.37)/ 0.03054 = -0.9823

p -value = Pr(Z < -0.9823) = 0.1630

because the p-value is greater than the level of significance. Therefore you do reject the null hypothesis

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