**Text Transcription for Educational Website**Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).\( H_0: \) [ ]\( H_1: \) [ ](b) Determine the type of test statistic to use.(Choose one) [ ](c) Find the value of the test statistic. (Round to three or more decimal places.)[ ](d) Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.)[ ](e) Can we conclude that the proportion of mall shoppers in my market category who would buy a subscription is less than the proportion in Ivanna's market category who would?[ ] Yes [ ] No---**Graphical Elements Description**There is a panel on the right displaying symbols often used in statistics, such as μ (mu), σ (sigma), and P. There are also icons representing various types of inequalities and tests (e.g., greater than, less than, equal, not equal). These symbols are likely meant to assist in completing the hypothesis and test statistic selection tasks. **Hypothesis Testing Exercise on Yoga App Subscription**In this exercise, we explore a scenario where a market research study was conducted to determine interest in a yoga app subscription. The study compares the subscription likelihood between two groups of mall shoppers: those with a gym membership and those without.### ScenarioWhile shopping, you were interviewed to assess your interest in a yoga app. You belong to the group of individuals with a gym membership. A friend without a gym membership, Ivanna, was also part of the study. Results showed:- In your group (98 people): 17 expressed interest in subscribing.- In Ivanna’s group (120 people): 26 expressed interest in subscribing.### ObjectiveDetermine whether the proportion of people in your market category who would buy a subscription (p₁) is less than in Ivanna's category (p₂) using a significance level of 0.10.### Tasks**(a) State the Hypotheses**- **Null Hypothesis (H₀):** p₁ ≥ p₂- **Alternative Hypothesis (H₁):** p₁ < p₂**(b) Choose the Test Statistic**- Choose an appropriate test statistic from provided options.**(c) Calculate the Test Statistic**- Compute based on the given data.**Diagrams**The image includes a hypothesis testing setup table with slots to fill the hypotheses, choose the test statistic type, and calculate the test statistic value. There is also a control panel offering statistical symbols for selections needed in calculations.Note: Ensure all calculations are rounded to three or more decimal places as part of standard procedure.

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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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The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H0: σ = 3 H1: σ ≠ What type of test is being conducted in this problem? Two-tailed test Left-tailed test Right-tailed test
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You are conducting a multinomial hypothesis test (α= 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category ObservedFrequency ExpectedFrequency A 17 B 22 C 11 D 13 E 17 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 = Is the p-value less than αα? yes no 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 final conclusion is that... There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to…
A teacher has a large container of blue, red, and green beads. She reports to the students that the proportion of blue beads in the container is 0.30. The students feel the proportion of blue beads is lower than 0.30. A student randomly selects 60 beads and finds that 12 of the beads are blue. The P-value for the test of the hypotheses, H,: p = 0.30 and H,i p < 0.30, is 0.045. What is the correct conclusion given a = 0.05? Because the P-value is less than a = 0.05, the student should reject Ho- Because the P-value is less than a = 0.05, the student should fail to reject Ho. Because the P-value is greater than a = 0.05, the student should reject Ho. O Because the P.value is greater than a = 0.05, the student should fail to reject Ho.
Medical researchers are interested in determining the relative effectiveness of two drug treatments on patients with a chronic mental illness. Treatment 1 has been around for many years, while treatment 2 has recently been developed based on the latest research. The researchers chose two independent test groups. The first group had 10 patients, all of whom received treatment 1 and had a mean time until remission of 188 days, with a standard deviation of 8 days. The second group had 14 patients, all of whom received treatment 2 and had a mean time until remission of 185 days, with a standard deviation of 5 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Can we conclude, at the 0.05 level of significance, that u,, the mean number of days until remission after treatment 1, is greater than u,, the mean number of days until remission after treatment 2? Perform a one-tailed test. Then complete the parts…
Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering dlass must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 10 of this year's entering students and finds that their mean IQ score is 117, with a standard deviation of 12. The college records indicate that the mean IQ score for entering students from previous years is 113. Is there enough evidence to conclude, at the 0.10 level of significance, that the population mean IQ score, p, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b)…
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Based on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan as compared to their existing drug, Exemor. A random sample of 458 depressed individuals is selected and treated with Resithan, and 206 find relief from their depression. A random sample of 429 depressed individuals is independently selected from the first sample and treated with Exemor, and 179 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.05 level of significance, that the proportion P, of all depressed individuals taking Resithan who find relief from depression is greater than the proportion P₂ of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in…
A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting a random sample of 12 workers and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the table below. Worker 1 2 3 4 5 6. 7 8. 9. 10 11 12 Process 1 85 63 46 85 83 70 64 51 48 69 67 52 Process 2 88 46 43 61 80 51 59 53 23 46 59 52 Difference - 3 17 3 24 19 5 -2 25 23 8 (Process 1 - Process 2) Send data to calculator Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding u, (which is with a letter "d" subscript), the population…
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H1: This is a homework question. I chose a Null Hypothesis that is equal to the Alternative because the professor is comparing the two formats. Is my reasoning correct? Would this be a directional question? A statistics professor is interested in finding out whether students perform better on exams if they are conducted in the classroom or online. He compares the final exam scores of his online statistics class with the exam scores of his in-person class. What is the null hypothesis for this scenario? Null Hypothesis: final exam scores in class = final exam scores online Alternative Hypothesis: final exam scores in class is NOT Equal to final exam scores online
In the twentieth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, that practice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 171 houses built in Southern California in the twentieth century and an independent, random sample of 75 new houses built in Southern California. The sample of twentieth century houses contained 76 houses with pools, and the sample of new houses contained 30 houses with pools. Based on this survey, can we conclude, at the 0.01 level of significance, that the proportion p, of all Southern California twentieth century houses that were built with pools is greater than the proportion p, of all new Southern California houses that were built with pools? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the…

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