A researcher conducts a hypothesis test on a population proportion. Her null and alternative hypothesis are H0 : p = 0.4 and Ha : p < 0.4. The test statistic and p-value for the test are z = - 3.01 and p-value = 0.0013. For a significance level of α = 0.05, choose the correct conclusion regarding the null hypothesis.

Question

Mathematics

Taylor Hines

12 May, 08:32

A researcher conducts a hypothesis test on a population proportion. Her null and alternative hypothesis are H0 : p = 0.4 and Ha : p < 0.4. The test statistic and p-value for the test are z = - 3.01 and p-value = 0.0013. For a significance level of α = 0.05, choose the correct conclusion regarding the null hypothesis.

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Ayla Kelley · Answer 1

Answer: The null hypothesis is not true for these values

Step-by-step explanation: The null hypothesis as described by the established p-values correspond to non-significant variables, that is, p = 0.4 (higher than the significance level). Since the result is p-value = 0.0013, the results reveal that there is statistical significance p-value <0.4, and therefore, the alternative hypothesis is true.