11) Na distribuição de valores iguais, o Desvio padrão é: 12) \( \begin{array}{llll}\text { a) ( ) negativo } & \text { c) ( ) zero } & \text { b) ( ) a unidade } & \text { d) ( ) positivo }\end{array} \)

Mean and Standard Deviation scept Rate \( \frac{\mathbf{n}:}{(5+5+8+3+12+10+18+15+12+16+20+18+20+20+24+26+25+28+25+30} \) Idard Deviation:

A professor tells you that \( 20 \% \) of HCC students voted for Donald Trump in the last presidential election. You think that the percentage is lower than that. To test your claim, you first set these hypotheses: \( \mathrm{H}_{0}: p=0.2 ; \mathrm{H}_{\mathrm{a}}: p<0.2 \) You decide to use a significance level of \( \mathbf{1 0 \%} \). Then you randomly select 16 students and ask them who they voted for. The number who say they they voted for Donald Trump is 1 . Now calculate the sample proportion: \( \widehat{p}= \) (Round to 3 decimal places.) The P -value, which is the probability of getting a sample proportion as low as what you found assuming the null hypothesis is true, is 0.085 . What should you do with \( \mathrm{H}_{0} \) ? Reject null hypothesis Do not reject null hypothesis

We'll suppose you set a significance level of \( 10 \% \). Then you fandomly select 42 adults in town and ask them how often they eat in a restaurant. The number who say "at least once a week". is 17 . Now calculate the sample proportion: \( \widehat{\mathbf{p}}= \) Round to 3 decimal places-i) If the null hypothesis is true, the probability of getting a sample proportion that hypothesis is 0.086 . What should you do with \( \mathrm{H}_{0} \) ? Do not reject null hypothesis

A newspaper reports that \( 51 \% \) of adults in your home town eat in a restaurant at least onc thinkthat the percentage is less than that. To test your claim, first choose the two hypotl \( \begin{array}{ll}\mathrm{H}_{0}: p=0.51 & \mathrm{H}_{\mathrm{a}}: \boldsymbol{p}<0.51 \\ \mathrm{H}_{0}: p=0.51 & \mathrm{H}_{\mathrm{a}}: \boldsymbol{p}=0.51\end{array} \quad \mathrm{H}_{\mathrm{a}}: \boldsymbol{p} \neq 0.51 \)

Grad rate \( r-865 / \) square root \( 865 * 865=865 / 865=1 \) Accept rate \( r-252.55 / \) square root \( 200 * 2000=252.55 / 632.46=0.399 \) Q2e. Explain the direction and strength of the relationship based on the \( r \).