A random sample of 510 observations produced a sample proportion equal to 0.33. Find the critical and observed values of z for the following test of hypotheses using α = 0.01 . H 0 :   p = 0.30 versus H 1 :   p ≠ 0.30 . Round your answers to two decimal places. zcritical left =Enter your answer; z_critical left  zcritical right =Enter your answer; z_critical right  zobserved =Enter your answer; z_observed

A recent study by Munro et al found that 15% of college freshman were not happy with their choice of major. A random sample of 100 college juniors found that 10% were not happy with their major. Is there sufficient evidence to suggest that the proportion of students not happy with their major is smaller among juniors than a freshman? Use alpha = .05. I.State the hypotheses. II.Calculate the test statistic. III.Find the p-value. IV.Make a statistical decision. V.State your conclusion in the context of the problem.

Perform the following tests of hypothesis. (a) Ho: 1=285, H1: u< 285, x(mean)=267.80, s=42.90,n=55,a =0.05 (b) Ho: = 10.70,Н1 : u /= 10.70,x(mean)=12.025,s=4.90 n=47 a= 0.01

These are previous year papers that i want to solve before the start of next semester. Can you please help me solve these? A new drug has been developed to treat cancer. It is of interest to know whether the low dose (X1 = 0) or high dose (X1 = 1) will be better for cancer patients. There are 60% of patients randomly assigned to high dose.For this question, if asked to do a hypothesis test, please include the following:1. The formula of the test statistic,2. the reference distribution with degrees of freedom and the conditions for the test statisticto follow this reference distribution,3. plug in the numbers from the R output into the test statistic. You do not need to simplifythe expression,4. state when will you reject or fail to reject the hypothesis. a)Write out the linear regression model of Y (a continuous measure of tumor size) on dose X1 using low dose as reference level.b) The r output of the regression model from part 1 is given below. Fill in the blanks. Call:lm(formula = Y…

Find the P-value for a left-tailed hypothesis test with a test statistic of z= - 1.89. Decide whether to reject H, if the level of significance is a = 0.05. P-value = (Round to four decimal places as needed.)

I need help understanding the null hypothesis and when to “reject” or “fail to reject” it. I got 5.77 in 3df and a critical value of 7.82.

Life on Other Planets Forty-five percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 110 randomly selected individuals and found 66 believed that there is life on other planets. At α=0.05, is there sufficient evidence to conclude that the percentage differs from 45? Use the P-value method with a graphing calculator. State the hypotheses and identify the claim with the correct hypothesis. H0 : p=0.45 ▼not claim H1 : p≠0.45 ▼claim This hypothesis test is a ▼two-tailed test.   Find the P-value. Round the answer to four decimal places.   P-value = ___________________

The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women set using α = 0.05 with the following data:      Men Women Sample mean 64.5 years 63.6 years Sample size 35 39 Population standard deviation 3.0 years 3.5 years  If Population 1 is defined as men and Population 2 is defined as women, the p-value for this hypothesis test would be ________.

The dataset below that contains information on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions as well as cars with other transmissions. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average citymileage? 1. Set up the null and alternative hypotheses.2. Compute the test statistic.3. State the p-value for the test. State the decision and conclusion of the test in context. Feel free to use excel, Rstudio, or any other methods to answer the Question! Thanks Auto Manual 77 22 126 30 52 28 62 26 62 29 106 20 27 27 28 22 24 26 26 26 30 26 21 23 21 28 23 29 25 25 20 25 20 22 18 17 17 27 14 25 15 19 18 27 17 30 14 23 18 24 17 23 14 22 15 23 18 24 17 27 14 23 19 22 17 25 17 19 14 26 16 21 16 23 14 18 17 18 17 18 14 18 16 19 16 19 14 21 18 18…