A researcher performs a hypothesis test at the = 0 . 05 level of significance. T

Question

A researcher performs a hypothesis test at the = 0.05 level of significance. The null hypothesis is u = 0.85 and the alternative (or alternate) hypothesis is u 0.85. The researcher uses the sample mean and correctly calculates the test statistic to be z* = 2.59 and the p-value to be 0.0096. Based on these results, the researcher correctly decides to reject the null hypothesis.

Which statement correctly interprets the results of this hypothesis test?

a. The researcher has proven that the population mean is equal to 0.85.

b. The researcher has proven that the population mean is different from 0.85.

c. Evidence suggests that the population mean is different from 0.85.

d. Evidence suggests that the population mean is 0.85.

a. The researcher has proven that the population mean is equal to 0.85.

b. The researcher has proven that the population mean is different from 0.85.

c. Evidence suggests that the population mean is different from 0.85.

d. Evidence suggests that the population mean is 0.85.

Explanation / Answer

p = 0.0096

and p < alpha

Hence reject null hypothesis.

c. Evidence suggests that the population mean is different from 0.85. is the right answer.

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