Elijah and Tyler, two high school juniors, conducted a survey on 15 students at their school. They asked the students whether they would like the school to offer an afterschool art program, counted the number of "yes" answers, and recorded the sample proportion. 14 out of the 15 students responded "yes". They repeated this 100 times and created a distribution of sample proportions.  Would you expect the shape of this distribution to be symmetric? A. Yes because np>10np>10 and n(1−p)>10n(1-p)>10 B. No because np>10np>10 and n(1−p)>10n(1-p)>10 C. No because np>10np>10 but n(1−p)<10n(1-p)<10 D. Yes because np>10np>10 but n(1−p)<10

Nurses wondered if birth weights of babies are going up. They knew that the average birth weight of a baby last year was 7.6 pounds. A random sample of 15 weights of babies at the hospital where the nurses work gave an average birth weight of 7.9 pounds. Nurses felt that the birth weights this year were normally distributed. Which of the following is true about the distribution of sample means? Choose the correct answer below. O A. Even though the sample size is less than 30, the distribution of sample means will be normal because the population data follow a normal distribution. OB. The distribution of sample means will be normal regardless of the shape of the data in the population. Oc. Since the sample size is less than 30, the population data cannot be normally distributed. Therefore, the distribution of sample means will not be normally distributed. D. The distribution of sample means will not be normal even though the population data followed a normal distribution because the…

If the proportion of Hs is .45 out of 200 flips, what is the p-value?

Let's examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, and 8. The true mean (µ) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is , and the true standard deviation (o) is The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (8) times the number of possibilities on the second roll (also 8), or 8(8) = 64. If you collected all of these possible samples, the mean of your sampling distribution of means (µM) would equal and the standard deviation of your sampling distribution of means (that is, the standard error or ɑm) would be The following chart…

In 1942, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1100 adults surveyed, 440 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 418 indicated that they were total abstainers. Complete parts (a) and (b) below. (a) Determine the sample proportion for each sample. and respectively. The proportions of the adults who took the 1942 survey and the recent survey who were total abstainers are (Round to three decimal places as needed.)

If the proportion of Hs is .25 out of 200 flips, what is the p-value? Round to three places.

According to the Census Bureau, the distribution by ethnic background of the New York City population in a recent year was Hispanic: 28% Black: 24% White: 35% Asian: 12% Others: 1% The manager of a large housing complex in the city wonders whether the distribution by race of the complex’s residents is consistent with the population distribution. To find out, she records data from random sample of 800 residents. The table below displays the sample data. Race Hispanic Black White Asian  Others Count 212 202 270 94 22 Are these data significantly different from the city’s distribution by race? Carry out an appropriate test at the ? = 0.05 level of significance to support your answer. State the null and alternate hypotheses (write it mathematically) and write your claim. Find the test statistics. Identify the Rejection region (critical region) and fail to reject region. Show this by drawing a curve and separate the rejection region from the fail to reject region using the critical…

Suppose the true population proportion is p = 0.5. The figure below shows the distribution of the sample proportion (p) values for 3 different sample sizes, n = 20, n=100 and n=500. 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8

You are told that the proportion p-hat  of those who answered "yes" to a poll about internet use is p-hat = 0.70, and the standard error of the proportion is 0.0458. What was the sample size?