AIR MATH

Math Question

In 1979 , only \( 10 \% \) of the students in the city school district were classified as being learning disabled. A school psychologist suspects that the proportion of learning-disabled children has increased dramatically over the years. To demonstrate this point, a random sample of \( n=600 \) students is selected. In this sample there are 74 students who have been identified as learning-disabled. You will use this information to determine if the sample indicates a change in the proportion of learning-disabled students at a \( 0.01 \) level of significance.

Based on the researcher's understanding of the situation, how many tails would this hypothesis test have?
one-tailed test.
two-tailed test
Choose the correct pair of hypotheses for this situation:
\begin{tabular}{|c|c|c|}
\hline (A) & (B) & (C) \\
\hline \hline\( H_{0}: p=0.1 \) & \( H_{0}: p=0.1 \) & \( H_{0}: p=0.1 \) \\
\hline\( H_{a}: p<0.1 \) & \( H_{a}: p \neq 0.1 \) & \( H_{a}: p>0.1 \) \\
\hline \multicolumn{3}{|c|}{ (D) } \\
\hline \hline\( H_{n}: p=0.123 \) & \( H_{0}: p=0.123 \) & \( H_{0}: p=0.123 \) \\
\( H_{a}: p<0.123 \) & \( H_{a}: p \neq 0.123 \) & \( H_{a}: p>0.123 \) \\
\hline
\end{tabular}
(A)
(B)
(C)
(D)
(E)
(F)

Solution

solution

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