Question 14 You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.56 . With \( H_{1}: \mathrm{p}>0.56 \) you obtain a test statistic of \( z=2.256 \). Use a normal distribution calculator and the test statistic to find the P-value accurate to 4 decimal places. It may be left-tailed, right-tailed, or 2 -tailed. P-value \( = \) Submit Question

\( n-1=35-1=34 \) \( p \)-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

Find the range of the following data set. Assume the data set is a sample.

Assume that \( z \)-scores are normally distributed with a mean of 0 and a standard deviation of 1 . If \( P(-b<z<b)=0.7944 \), find \( b \). \( b=\square \) Submit Question

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.

Question 12 Assume that \( z \)-scores are normally distributed with a mean of 0 and a standard deviation of 1. \( b=\square<b<b)=0.747 \), find \( b \). Submit Question