Use the given data to find the minimum sample size required to estimate a population proportion or percentage. An investor is considering funding of a new video game. She wants to know the worldwide percentage of people who play video games, so a survey is being planned. How many people must be surveyed in order to be 90% confident that the estimated percentage is within three percentage points of the true population percentage? Assume that about 16% of people play video games (based on a report by Spil Games).

Find the sample size required to estimate the percentage of college students who take a statistics course. Assume that we want 95% confidence that the proportion from the sample is within four percentage points of the true population percentage.

Use the given data to find the minimum sample size required to estimate a population proportion or percentage. Find the sample size needed to estimate the percentage of California residents who are left-handed. Use a margin of error of three percentage points, and use a confidence level of 99%. Assume that based on prior studies, about 10% of Californians are left-handed.

What is the value for

$$\sin \frac { \theta } { 2 } \text { if } \cos \theta = - \frac { 12 } { 13 } \text { and } 90 ^ { \circ } < \theta < 180 ^ { \circ } ?$$

$$A. \frac { \sqrt { 26 } } { 26 }$$

$$B. - \frac { \sqrt { 26 } } { 26 }$$

$$C. \frac { 5 \sqrt { 26 } } { 26 }$$

$$D. - \frac { 5 \sqrt { 26 } } { 26 }$$

Assume that foot lengths of women are normally distributed with a mean of 9.6 in . and a standard deviation of 0.5 in. , based on data from the U.S . Army Anthropometry Survey (ANSUR). Find the probability that a randomly selected woman has a foot length less than 10.0 in.

Use the given data to find the minimum sample size required to estimate a population proportion or percentage. In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.05 margin of error, and use a confidence level of 95%. Assume that nothing is known about the percentage to be estimated.

The function $T : S \rightarrow R, T(u, v)=(x, y)$ on the region $S=\{(u, v) | 0 \leq u \leq 1,0 \leq v \leq 1\}$ bounded by the unit square is given, where $R \subset \mathrm{R}^{2}$ is the image of S under T. a. Justify that the function T is a $C^{1}$ transformation. b. Find the images of the vertices of the unit square S through the function T. c. Determine the image R of the unit square S and graph it. x=2u, y=3v

For a total accumulated amount of $3586.58, a principal of$2000, and a time period of 5 years, use the compound interest formula to find r if interest is compounded monthly.

Use the given data to find the minimum sample size required to estimate a population proportion or percentage. Find the sample size needed to estimate the percentage of California residents who are left-handed. Use a margin of error of three percentage points, and use a confidence level of 99%. Assume that $\hat p$ and $\hat q$ are unknown.

Find the sample size required to estimate the population mean. Pulse rates of 147 randomly selected adult females, and those pulse rates vary from a low of 36 bpm to a high of 104 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult females. Assume that we want 99% confidence that the sample mean is within 2 bpm of the popul ation mean. Assume that $\sigma$ = 12.5 bpm, based on the value of s = 12.5 bpm for the sample of 147 female pulse rates.

In a study of 420 ,095 cell phone users in Denmark, it was found that 135 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000340 probability of a person developing cancer of the brain or nervous system. We therefore expect about 143 cases of such cancer in a group of 420,095 randomly selected people. Estimate the probability of 135 or fewer cases of such cancer in a group of 420,095 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system?

A study of 420,095 Danish cell phone users resulted in 135 who developed cancer of the brain or nervous system (based on data from the Journal of the National Cancer Institute). When comparing this sample group to another group of people who did not use cell phones, it was found that there is a probability of 0.512 of getting such sample results by chance. What do you conclude?

Show that the systems are degenerate. In the problem determine—by attempting to solve the system—whether it has infinitely many solutions or no solutions.

$$\left. \begin{array} { l } { ( D + 2 ) x + ( D + 2 ) y = e ^ { - 3 t } } \\ { ( D + 3 ) x + ( D + 3 ) y = e ^ { - 2 t } } \end{array} \right.$$

Use the data and confidence level to construct a confidence interval estimate of p, then address the given question. A random sample of 860 births in New York State included 426 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.512. Do these sample results provide strong evidence against that beljef?