Assume that you plan to use a significance level of a = 0.05 to test the claim that p1 = p2  . Use the given sample sizes and numbers of successes to find the pooled estimate . Round your answer to the nearest thousandth. n1 = 100 x1 = 42 n2 = 100 x2 = 45

What sample size is needed to give a margin of error within+3% in estimating a population proportion with 90% confidence? We estimate that the population proportion is about 0.25. Round your answer up to the nearest integer. Sample size = i

Find the sample size, n, needed to estimate the percentage of adults who have consulted fortune tellers. Use a 0.06 margin of error, use confidence level of 90%, and use results from a prior poll suggesting that 14% of adults have consulted fortune tellers. n = (Round up to the nearest integer.)

A polling firm called 1,000 likely voters to ask about their political preferences. Of those polled, 520 indicated that they would vote for the incumbent candidate.    Determine the point estimate for the proportion of voters in the election district who will vote for the incumbent. What is the sampling distribution for p in this example? Approximately how many voters must be polled for a margin of error equal to .01, assuming a confidence level of 95%? Show your work.

What proportion of students have a meal plan on campus? A local university claimed that 70% of students had a campus meal plan. A random sample of 30 students found that 24 of them had a meal plan on campus. Use this sample to test the claim. Use a level of significance of 0.1.

Suppose you take a sample of 25 Reese's pieces. The proportion of orange is 0.4. What is the p-value when testing the hypothesis that the actual proportion of orange for all Reese's pieces is 0.5? Round to two places.

Find the sample​ size, n, needed to estimate the percentage of adults who have consulted fortune tellers. Use a 0.07 margin of​ error, use a confidence level of 90​%, and use results from a prior poll suggesting that 14​% of adults have consulted fortune tellers.Question content area bottomPart 1n=enter your response here ​(Round up to the nearest​ integer.)

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…

Consider a population proportion p = 0.27.  Calculate the standard error for the sampling distribution of the sample proportion when n = 17 and n = 65?

The average house has 15 paintings on its walls. Is the mean larger for houses owned by teachers? The data show the results of a survey of 16 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal. 18, 15, 17, 14, 16, 17, 18, 15, 15, 14, 14, 14, 15, 15, 16, 18 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: Select an answer v H1: Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly more than 15 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in…