Questions: The critical value z* or t* needed to calculate the margin of error is (Enter your answer to 3 decimal places): Table entry for p and C is the critical value t* with probability p lying to its right and probability C lying

Solution Steps

The image shows the area to the right of a value labeled $t^_$, representing the upper tail probability $p$. This area is also labeled “Probability p”. The confidence level $C$ is the area between $-t^_$ and $t^*$, which is $1-2p$.

We need additional information to determine the correct degrees of freedom (df) and the confidence level $C$. Assuming the confidence level is 90%, we have $C = 0.90$.

Since the area to the right of $t^*$ is $p$, and $C = 1 - 2p$, we have $0.90 = 1 - 2p$. Solving for $p$, we find $2p = 1 - 0.90 = 0.10$, so $p = 0.05$. This corresponds to the column headed ".05".

With the degrees of freedom specified (which is not given in the question) and $p = 0.05$, we would find the corresponding $t^_$ value in Table D. For example, if df = 1, then $t^_ = 6.314$. If df = 5, then $t^* = 2.015$. You need to provide the degrees of freedom to obtain a specific answer.

Final Answer