Tyesha found that the z-statistic was 2.1 and that the critical z-values were -1.96 and 1.96. which of the following is a valid conclusion based on these results?

a) one can reject the null hypothesis.

b) one can reject the alternate hypothesis.

c) one can accept the null hypothesis.

d) one cannot accept or reject the null hypothesis.

OPtion A

One  can reject the null hypothesis.

Step-by-step explanation:

In hypothesis testing of a single mean we fix the confidence level as 95, or 90 or 99%

Here confidence level is fixed as 95% since z critical is 1.96

In this case if our test statistic lies between -1.96 and 1.96 we accept the null hypothesis otherwise reject it

Since 2.1 is outside the range (-1.96, 1.96) we can reject the null hypothesis.

Hence correct answer would be

OPtion A

One  can reject the null hypothesis.

step-by-step explanation:

the transitive property of equality.

step-by-step explanation:

the correct answer is:

the transitive property of equality.

explanation:

we know that  ∠bcd is congruent to  ∠pbc. we also know that  ∠pbc is congruent to  ∠bad.

we can substitute  ∠bad for  ∠pbc in the first angle congruence statement to give us:

∠bcd is congruent to  ∠bad.

algebraically, the transitive property states if a=b and b=c, then a=c. it basically allows us to substitute equal values. since that is what we did, this is the transitive property.

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