The critical boundaries for a hypothesis test are z = +1.96 and -1.96.If the z-score for the sample data is z = -1.90,what is the correct statistical decision? A)Fail to reject H₁ B)Fail to reject H₀ C)Reject H₁ D)Reject H₀

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The critical boundaries for a hypothesis test are used to determine whether to reject or fail to reject the null hypothesis. In this case, the null hypothesis is not given, but we can assume it to be H0: μ = μ0 (a two-sided test). The critical z-value for this test at a 5% level of significance is ±1.96. The critical F-value is given by F1F1F1S1F1F1F101.96, which is not relevant to this question. The z-score for the sample data is z = 1.90, which is between the critical boundaries of ±1.96. Therefore, we fail to reject the null hypothesis and conclude that there is not enough evidence to say that the sample mean is significantly different from the hypothesized mean at a 5% level of significance. The correct choice is B, "Fail to reject H₀."

The Critical Boundaries for a Hypothesis Test Are Z =