Ho: There is no association between Opinion about astrology and Degree held

Ha: There is an association between Opinion about astrology and Degree held

Question

asked 2021-08-13

\(\begin{array}{l|c|c|c|c} & \text { Associate's } & \text { Bachelor's } & \text { Master's } & \text { Total } \\ \hline \begin{array}{l} \text { Not al all } \\ \text { scientific } \end{array} & 169 & 256 & 114 & 539 \\ \hline \begin{array}{l} \text { Very or sort } \\ \text { of scientific } \end{array} & 65 & 65 & 18 & 148 \\ \hline \text { Total } & 234 & 321 & 132 & 687 \end{array}\)

State appropriate hypotheses for performing a chi-square test for independence in this setting.

asked 2021-01-02

A random sample of U.S. adults was recently asked, "Would you support or oppose major new spending by the federal government that would help undergraduates pay tuition at public colleges without needing loans?" The two-way table shows the responses, grouped by age.

\(\begin{array}{ccc} & Age \ Response & {\begin{array}{l|r|r|r|r|r} & 18-34 & 35-49 & 50-64 & 65+ & Total \\ \hline Support & 91 & 161 & 272 & 332 & 856 \\ \hline Oppose & 25 & 74 & 211 & 255 & 565 \\ \hline Don't know & 4 & 13 & 20 & 51 & 88 \\ \hline Total & 120 & 248 & 503 & 638 & 1509 \end{array}} \ \end{array}\)

Do these data provide convincing evidence of an association between age and opinion about loan-free tuition in the population of U.S. adults?

asked 2020-12-29

\(\begin{array}{|c|c|c|c|c|} \hline \text {Education}& \text {Use of vitamins takes} &\text{Does not take}\\ \hline \text {No High School Diploma} & 0.03 & 0.07 \\ \hline \text{High School Diploma} & 0.11 & 0.39 \\ \hline \text {Undergraduate Degree} & 0.09 & 0.27 \\ \hline \text {Graduate Degree} & 0.02 & 0.02 \\ \hline \end{array}\)

You select a person at random. What is the probability the person does not take vitamins regularly?

asked 2020-12-21

\(\begin{array}{c|cc|c} &\text { Female } & \text { Male } & \text { Total } \\ \hline \text { Almost no chance } & 96 & 98 & 194 \\ \hline \text { Some chance but } \ \text { probably not } & 426 & 286 & 712 \\\hline \text { A 50-50 chance } & 696 & 720 & 1416 \\ \hline \text { A good chance } & 663 & 758 & 1421 \\ \hline \text { Almost certain } & 486 & 597 & 1083 \\ \hline \text { Total } & 2367 & 2459 & 4826 \end{array}\)

Choose a survey respondent at random. Define events G: a good chance, M: male, and N: almost no chance. Find \(P(C∣M)\). Interpret this value in context.