The magazine Tech Worx reported that 93% of software engineers rate the company they work for as "a great place to work." As a veteran headhunter, you claim the percentage given in the report is not correct. In a survey of 220 randomly chosen software engineers, 205 rated the company they work for as "a great place to work."Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support your claim that the proportion, \( p \), of all software engineers who rate the company they work for as "a great place to work" is not 93%.(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that you would use for the test.- \( H_0: \)- \( H_1: \)(b) For your hypothesis test, you will use a Z-test. Find the values of \( np \) and \( n(1-p) \) to confirm that a Z-test can be used. (One standard is that \( np \ge 10 \) and \( n(1-p) \ge 10 \) under the assumption that the null hypothesis is true.) Here \( n \) is the sample size and \( p \) is the population proportion you are testing.- \( np = \)- \( n(1-p) = \)(c) Perform a Z-test. Here is some information to help you with your Z-test.- \( z_{0.025} \) is the value that cuts off an area of 0.025 in the right tail of the distribution.- The value of the test statistic is given by \( z = \frac{\hat{p} - p}{\sqrt{\frac{p(1-p)}{n}}} \).![Graph of Standard Normal Distribution] - This is a bell-shaped curve representing a standard normal distribution. The x-axis represents z-values, and the y-axis represents the probability density. There are marked areas under the curve to signify critical regions.(d) Based on your answer to part (c), choose what can be concluded, at the 0.05 level of significance, about your claim.- Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the percentage of software engineers

Given that Sample size n = 220 Number of engineers rated the company "a great place to work", X =…

Answered: H 0 (b) For your hypothesis test, you…

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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For (15) – (23) identify the IV, DV, and the correct hypothesis test to run. Then conduct the hypothesis test based on the instructions given with each item. 15. A researcher for a cereal company wanted to demonstrate the health benefits of eating oatmeal. A sample of 9 volunteers was obtained and each participant at a fixed diet without any oatmeal for 30 days. At the end of the 30-day period, cholesterol was measured for each individual. Then participants began a second 30-day period in which they repeated exactly the same diet except they added 2 cups of oatmeal each day. After the second 30-day period, cholesterol levels were measured again and the researcher recorded the difference between the two scores for each participant. For this sample, cholesterol scores averated M = 16 points lower with the oatmeal diet with SS = 538 for the difference scores. a. Are the data sufficient to indicate a significant change in cholesterol level? Test %3D %3D with α.01. %3D b. Compute estimated…
Imagine you are doing a Related-Samples t-test, and you are on Step Two of the hypothesis test. The sample of difference scores that you calculated is -1, -1, -3, +2, 0, -4. If you are doing the test with α = .01, and two tails, what would he correct t-critical be?
A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. Set up a hypothesis test to see if you can find evidence to refute the claim that more than 75% of the residents favor candidate A.
You collect N = 200 frogs from a pond and find that 120 of them are female. You wish to conduct the following hypothesis test (α = 0.05) for p (the proportion of female frogs in the pond): H0 : p = 0.55 HA : p > 0.55 Determine which of the following statements are true. Assume the true p = 0.65. I. The one-sided p-value is 0.1528. II. You reject the null hypothesis H0. III. You fail to reject H0 and make a Type II error. Group of answer choices I and III only III only I only None of the Above II only
You run a one sample t-test on your data and get a p value of .003. That means that: you can reject the alternate hypothesis that your sample did not come from this population O you fail to reject the null hypothesis that your sample came from this population O you can reject the null hypothesis that your sample came from this population O you can accept the null hypothesis that your sample came from this population
You are conducting a multinomial hypothesis test (αα = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category ObservedFrequency ExpectedFrequency SquaredPearsonResidual A 6 B 9 C 25 D 11 E 12 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations.What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.)χ2= What are the degrees of freedom for this test?d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = It may be best to use the =CHIDIST() function in Excel to do this calculation.The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null accept the alternative As such, the…
The results of a hypothesis test are reported as follows in a scientific report: t(38) = -3.13, p < .05. Based on this information, which statement below is not correct? The sample size was n = 39. The conclusion reached by the researcher was to reject the null hypothesis. The sample mean was greater than the hypothesized population mean. The probability of a Type I error is less than 5%.
Imagine you are doing a Related-Samples t-test, and you are on Step One of the hypothesis test. If you are doing the test with α = .05, and two tails, how would the H0 (null hypothesis) look?
Suppose you want to test the claim that 4
Tests the claim that pi # p2. Assume the samples are random and independent. T1 = 26 ; r2 = 11 %3D n1 = 58 ; n2 = 39 a. Complete the table (use reduced fractions) P1 P2 Pi The Test Statistic (P1- P2) – (P1 P2) I1 + 22 Z = ni + n2 b. Calculate the Z-test statistic using the standard error from part a. Z = (use 2 decimat places) C. At a 0.04, Use the distribution table to find the critical values for the rejection region Z. =
You collect N = 200 frogs from a pond and find that 120 of them are female. You wish to conduct the following hypothesis test (α = 0.05) for p (the proportion of female frogs in the pond): H0 : p = 0.55 HA : p > 0.55 Determine which of the following statements are true. Assume the true p = 0.65. I. The one-sided p-value is 0.1528. II. You reject the null hypothesis H0. III. You fail to reject H0 and make a Type II error. Group of answer choices None of the Above III only I and III only II only I only
A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. The following is the setup for this hypothesis test: Ho :p-0.65 Ha : p < 0.65 In this example, the p-value was determined to be 0.277 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 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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