A hypothesis test is to be performed for a population proportion. For the given sample data and null hypothesis, computethe value of the test statistic, z =P-PO√ Po (1 - Po)/n16) A radio show producer believes that a new proposed format would be preferred by only 25% of their currentlisteners. A survey of 100 current listeners showed that 17 favored the new format. Find the test statistic z and testthe claim Ho: p = 0.25. Use a significance level a = .05.A) z=-2.439, Reject HoC) z=-1.848, Reject HoB) z=-2.439, Fail to Reject HoD) z = -1.848, Fail to Reject Ho

Step 1: State the null and alternative hypothesesThe null hypothesis shall always contain some form…

Answered: A hypothesis test is to be performed…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose are running a study/poll about the proportion of women over 40 who regularly have mammograms. You randomly sample 118 people and find that 98 of them match the condition you are testing.Suppose you have the following null and alternative hypotheses for a test you are running:H0:p=0.8H0:p=0.8Ha:p>0.8Ha:p>0.8Calculate the test statistic, rounded to 3 decimal places
65 homeless people in San Jose were asked their age. The sample mean age was 33.2 years. Let x be a random variable representing ages of homeless people in San Jose. Assume that x has a normal distribution and o = 7.3 years. Do the data indicate that the mean age of the population of homeless people in San Jose is less than 35 years old? Use a = 0.05. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypotheses H, for the problem. 2. Identify the sample statistic, test statistic, p-value and calculator key used: Sample Statistic (sample mean) (Stated in problem) = Test Statistic (z) (Round to two decimal places) %3D P-value: (Round to four decimal places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho ? 4. State your conclusion. Upload your answer. Remember you can only upload one document. Upload Choose a File
We have provided a sample mean, sample size, and population standard deviation. In each case, use the one-mean z-test to perform the required hypothesis test at the 5% significance level. x = 20, n = 24, σ = 4, H0: μ = 22, Ha: μ ≠ 22
An airline company would like to know if the average number of passengers on a flight in November is less than the average number of passengers on a flight in December. The results of random sampling are printed below. Test the appropriate hypotheses using α = 0.01. A random sample of 200 passengers is taken in both months.The null and alternate hypothesis used:H0: mu1-mu2=0 vs. Ha: mu1-mu2<0The test statistic is:-4.62What is the correct conclusion? A. There is not enough information given B. Accept the null hypothesis C. Reject the null hypothesis D. Fail to reject the null hypothesis
A graduate student is designing a research study. She is hoping to show that the results of an experiment are statistically significant. What type of p-value would she want to obtain? a)A large p-value. b)A small p-value. c)The magnitude of a p-value has no impact on statistical significance
Suppose you have a friend that thinks at least a quarter (25% or 0.25) of all US adults believe in ghosts. Thus, the null hypothesis would be, HO: p = 0.25 Suppose a telephone survey of 1000 randomly selected US adults found that 0.31 or 31% of them say they believe in ghosts. If the null hypothesis is true, the uncertainty or Standard Error in this sample proportion = 0.014 Based on this information, what is the value for the Z-statistic in this hypothesis test? (Round your answer to two decimal places.) Answer:
In a random sample of 320 cars driven at low altitude, 40 of them exceeded the standard 10 grams of particulate pollution per gallon of fuel consumed. In another independent random sample of 80 cars driven at high altitude, 20 of them exceeded the standard. Let P 1be the true proportion of cars that exceed the standard in low altitudes and P 2be the true proportion of cars that exceed the standard in high altitudes. What is the test statistic for testing this hypothesis.
Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: μ = 50; x = 0.05; ♂ = 3.12. Sample statistics: x = 48.8, n = 76 Identify the null and alternative hypotheses. Choose the correct answer below. A. Ho: μ = 50 H₂: μ#50 OC. Ho: μ>50 H₂:μ=50 O E. Ho: μ = 50 H₂:μ>50 B. Ho: μ<50 H₂: H=50 Calculate the standardized test statistic. The standardized test statistic is - 3.35. (Round to two decimal places as needed.) D. H₂: μ = 50 Hg:μ < 50 OF. Ho: μ#50 H₂:μ = 50 Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is O B. The critical values are ±
The p-value for a hypothesis test turns out to be 0.0534. At a 3% level of sigrnificance, what is the proper decision? O Reject Ho O Fail to reject Ho Check Answer e Type here to search
A radio show producer believes that a new proposed format would be preferred by only 25% of their current listeners. A survey of 100 current listeners showed that 17 favored the new format. Find the test statistic z and test the claim. H0:p= 0.25. use the significance level a=.05.
3. For a z-test we get a test statistic of z=2.05. If our alternative hypothesis is "??:?>13Ha:μ>13", what Excel command would we use to compute the P-value? If our alternative hypothesis is "??:?<13Ha:μ<13", what Excel command would se use to compute the P-value?
A researcher claims that the incidence of a certain type of cancer is less than 5%. To test this claim, the a random sample of 4000 people are checked and 170 are determined to have the cancer. The following is the setup for this hypothesis test: Ho p 0.05 Ha :p< 0.05 In this example, the p-value was determined to be 0.015. come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select the correct answer below O The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim o The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim.

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