For the sample of 20 values, if is the population median, test the h.pdf

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For the sample of 20 values, if is the population median, test the hypothesis H0:=9 against the alternative H1:=9 using the sign test by computing any relevant binomial probabilities directly from the binomial probability distribution. \begin{tabular}{|r|} \hline data \\ \hline 13.5 \\ \hline 16.9 \\ \hline 13.5 \\ \hline 8.3 \\ \hline 7.6 \\ \hline 24.3 \\ \hline 8.3 \\ \hline 5.3 \\ \hline 12.1 \\ \hline 10.6 \\ \hline 6.7 \\ \hline 5.2 \\ \hline 22.9 \\ \hline 11 \\ \hline 10.9 \\ \hline 8.2 \\ \hline 10.9 \\ \hline 7.8 \\ \hline 7 \\ \hline 6.4 \\ \hline \end{tabular} How many observations are greater than 9 ? In a Binom (20,.5), what is the probability of exactly this many successes? What is the tail probability greater than or equal to this many successes? What is the p-value for the two-tailed sign test of H0:=9 against the alternative H1:=9 ? At a significance level of 0.05 , what is your conclusion? There is sufficient evidence that the median is not 9 . There is insufficient evidence to conclude that the median is not 9 . Test the hypothesis H0:=7.5 against the alternative H1:>7.5. How many observations are greater than 7.5 ? In a Binom (20,.5), what is the probability of exactly this many successes? What is the tail probability greater than or equal to this many successes? What is the p-value for the one-tailed sign test of H0:=7.5 against the alternative H1:>7.5 ? At a significance level of 0.05 , what is your conclusion? There is sufficient evidence that the median is greater than 7.5 . There is insufficient evidence to conclude that the median is greater than 7.5..

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