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Cloning a Random Sample of 800 Adults Was Asked the Following

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Cloning A random sample of 800 adults was asked the following question: "Do you think
current laws concerning the use of cloning for medical research are too strict, too lenient, or about
right?" The pollsters also classified the respondents with respect to highest education level attained: high school, 2-year college degree, 4-year degree, or advanced degree. We wish to know if attitudes on cloning are related to education level. (All the conditions are satisfied - don't worry about checking them.)
 Strict  Lenient  Right  Total  High school 93107182382106.0187.38188.61 2-year 2728.311923.335650.36102 year 8275.48762.22140134.3044 Adv. degree 207174412.2110.0721.73 Total 222183395800\begin{array}{|c|c|c|c|c|}\hline & \text { Strict } & \text { Lenient } & \text { Right } & \text { Total } \\\hline \text { High school } & 93 & 107 & 182 & 382 \\& 106.01 & 87.38 & 188.61 & \\\hline \text { 2-year } & \begin{array}{c}27 \\28.31\end{array} & \begin{array}{c}19 \\23.33\end{array}& \begin{array}{c}56 \\50.36\end{array}&102 \\\hline \text { year } & \begin{array}{c}82 \\75.48\end{array} & \begin{array}{c}7 \\62.22\end{array} & \begin{array}{c}140\\134.30\end{array}&44 \\\hline \text { Adv. degree } & 20 & 7 & 17 & 44 \\& 12.21 & 10.07 & 21.73 & \\\hline \text { Total } & 222 & 183 & 395 & 800 \\\hline\end{array}
χ2=1.60+4.40+0.23+0.06+0.80+0.63+0.56+2.40+0.24+4.97+0.93+1.03=17.86p=0.0066\chi^{2}=\begin{array}{l}1.60+4.40+0.23+ \\0.06+0.80+0.63+ \\0.56+2.40+0.24+ \\4.97+0.93+1.03=17.86\\&p=0.0066\end{array}
a. Write appropriate hypotheses.
b. Suppose the expected counts had not been given. Show how to calculate the expected count in the first cell (106.01).
c. How many degrees of freedom?
d. State your complete conclusion in context.


Definitions:

Gestational Diabetes

A type of diabetes that develops during pregnancy and usually resolves after giving birth.

Physically Active

Engaging in bodily movements that expend energy, including exercises and daily activities, to maintain or improve health and fitness.

Osteoporosis

A disease characterized by a reduction in bone density, brittleness of bones, and a loss of calcium from the bones.

High-Impact Exercise

Physical activities that involve vigorous movements where both feet may leave the ground, impacting joint health.

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