\( 1 \leftarrow \begin{array}{l}\text { Twenty years ago, } 57 \% \text { of parents of children in high school felt it was a serious problem that high school students were not being } \\ \text { taught enough math and science. A recent survey found that } 331 \text { of } 800 \text { parents of children in high school felt it was a serious problem } \\ \text { that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty } \\ \text { years ago? Use the } \alpha=0.1 \text { level of significance. } \\ \text { Find the test statistic. } \\ z_{0}=-8.93 \text { (Round to two decimal places as needed.) } \\ \text { Find the P-value. } \\ \text { P-value }=\square \text { (Round to three decimal places as needed.) }\end{array} \)...

You wish to test the following claim \( \left(H_{a}\right) \) at a significance level of \( \alpha=0.10 \). \[ \begin{array}{l}H_{o}: \mu=51.7 \\ H_{a}: \mu<51.7\end{array} \] You believe the population is normally distributed, but you do not know the standard deviation. You obt: a sample of size \( n=23 \) with mean \( M=45.5 \) and a standard deviation of \( S D=14.1 \). What is the p -value for this sample? (Report answer accurate to four decimal places.) p -value \( =\square \)

Score on last try: 0 of 1 pts. See Details for more. \( > \) Next question Assume that \( z \)-scores are normally distributed with a mean of 0 and a standard deviation of 1 . If \( P(-b<z<b)=0.6956 \), find \( b \). Submit Question

5 The mean age for first 13 voters at Zwide Voting Station, is 40 and the standard deviation is 5. Comment by refering to the standard deviations on how the ages at Zwide Station compare to those at Dingiswayo Station.

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300 . An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the \( 96 \% \) confidence interval to 25 points, how many students should the administrator sample? Make sure to give a whole number answer.

\( n-1=35-1=34 \) \( p \)-value \( <0.01 \) - Step 6: Make a decision to reject or not reject the null hypothesis. Write in non-techni terms a final conclusion about the claim. 'd reject the nurl nypo thesis