\(\sin \theta= \frac{opp}{hyp}\)

\(\sin 63.4°= \frac{x}{670}\)

\(670\sin 63.4°= x\)

\(x \cong 360.5 \implies 360.5\)

Question

asked 2021-08-12

a) Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? (Type an integer or a decimal. Do not round.)

b) Using Emily's sample results, what is the best point estimate of the therapists' success rate? (Round to three decimal places as needed.)

c) Using Emily's sample results, construct a \(\displaystyle{90}\%\) confidence interval estimate of the proportion of correct responses made by touch therapists.

Round to three decimal places as needed - ?\(\displaystyle{<}{p}{<}\)?

asked 2021-07-31

\(\begin{array}{|c|c|}\hline Specimen & Test-1 & Test-2 \\ \hline 1 & 1.2 & 1.4 \\ \hline 2 & 1.6 & 1.7 \\ \hline 3 & 1.5 & 1.5 \\ \hline 4 & 1.4 & 1.3 \\ \hline 5 & 1.8 & 2.0 \\ \hline 6 & 1.8 & 2.1 \\ \hline 7 & 1.4 & 1.7 \\ \hline 8 & 1.5 & 1.6 \\ \hline 9 & 1.4 & 1.5 \\ \hline \end{array}\)

Find the \(\displaystyle{95}\%\) confidence interval for the mean difference of the tests, and explain it.

asked 2021-06-13

asked 2021-06-17

You randomly survey students about participating in the science fair. The two-way table shows the results. How many male students participate in the science fair?
Science Fair
No Yes
Gender Female 15 22
Male 12 32