Direcuoln. III Uhe lolloWIng problem, (a) state the hull and alternative hypothesis, (b) select and compute the test statistic, (c) determine the critical value and the rejection region, and (d) draw a conclusion. 1. It is claimed that 70% of SHS students in a certain district have internet at home. A survey among 1500 SHS students in that district revealed that 1025 have internet at home. Use 0.05 level of significance 2. Mr. Santos, a garment store owner, claimed that the brand of sweatpants his customers prefer is Brand A compared to Brand B. He conducted a survey of 100 customers. It was revealed that 55 prefer Brand A and the rest prefer Brand B. At 5% level of significance test the claim of Mr Santos

Direcuoln. III Uhe lolloWIng problem, (a) state the hull and alternative hypothesis, (b) select and compute the test statistic, (c) determine the critical value and the rejection region, and (d) draw a conclusion. 1. It is claimed that 70% of SHS students in a certain district have internet at home. A survey among 1500 SHS students in that district revealed that 1025 have internet at home. Use 0.05 level of significance 2. Mr. Santos, a garment store owner, claimed that the brand of sweatpants his customers prefer is Brand A compared to Brand B. He conducted a survey of 100 customers. It was revealed that 55 prefer Brand A and the rest prefer Brand B. At 5% level of significance test the claim of Mr Santos

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 600 working college students, 4% are employed as teachers or teaching assistants. At α=0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. A. Identify the claim and state HO and Ha B. Find the Critical Value(s) and identify the rejection region(s) C. Find the standardized test statistic d. Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
The critical boundaries for a hypothesis test are z = +1.96 and -1.96. If the z-score for the sample mean is zM = +2.20, what is the correct statistical decision?
Given the situation below, create a problem and determine (a) the null and alternative hypotheses, (b) test statistic, (c) rejection region, and (d) applicability of the CLT.
In each of the following problems (a) state the null and the alternative hypothesis (b) compute the test statistic, (c) determine the critical value and sketch the rejection region and the non-rejection region using the normal curve. Show the 3- step procedures. A researcher conducted an experimental study to determine if a new time slot for Math 10 viewing time for blended learners affects the performance of Grade 10 students in mathematics. Fifteen randomly selected learners participated in the study. Toward the end of the investigation, a standard assessment was conducted. The sample mean was x̅= 85 and the standard deviation s = 3. In the standardization of the test, the mean was 75, and the standard deviation was 10. Use α = 0.05.
1)Remove the four potential outliers of 0, 0, 8, and 20, and then obtain a new histogram without the outliers. Does the data appear to be normally distributed now? 2)Assuming that the four potential outliers of 0, 0, 8, and 20 are not recording errors, repeat the hypothesis test from part (c) (again setting up the hypothesis test and using either the critical value or p-value approach), and compare your results with that obtained in (c). Did you make a different conclusion? 3)Imagine you know have to make a recommendation/conclusion to the company that hired you: Assuming that the four potential outlies are not recording errors, and looking at the two results above, would you recommend using the first test with the outliers or the second test with the outliers removed? There is no right or wrong answer here, I am interested in what you think and your reasoning.
Given the information for experiment 1, what is the null hypothesis, standard error, z-critical, and z-observed?
Test the claim that the proportion of people who own cats is larger than 20% at the 0.10 significance level.The null and alternative hypothesis would be: H0:p≤0.2H0:p≤0.2H1:p>0.2H1:p>0.2 H0:μ≥0.2H0:μ≥0.2H1:μ<0.2H1:μ<0.2 H0:p=0.2H0:p=0.2H1:p≠0.2H1:p≠0.2 H0:μ≤0.2H0:μ≤0.2H1:μ>0.2H1:μ>0.2 H0:p≥0.2H0:p≥0.2H1:p<0.2H1:p<0.2 H0:μ=0.2H0:μ=0.2H1:μ≠0.2H1:μ≠0.2 The test is: two-tailed left-tailed right-tailed Based on a sample of 700 people, 26% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
The largest group of moviegoers by age is the 40- to 59-year-old age group. This group constitutes 32% of the movie-going population. A theater complex randomly surveyed the customers over a three-week period and found that out of 423 surveyed, 170 were 40 to 59 years of age. At the 0.01 level of significance does this differ from the stated proportion? Which of the following hypothesis testing procedure fits the given problem?
Suppose a company claims that its market share is less than 16 percent, on average. Several of coworkers do not believe this, so a director decides to do a hypothesis test, at a 1% significance level, to persuade them. He conducts 21 surveys, collects the proper data, and works through the testing procedure: H0: μ≥16; Ha: μ<16 x¯=15.8 σ=1.8 α=0.01 (significance level) The test statistic is z0=x¯−μ0σn√=15.8−161.821√=−0.51 The critical value is −z0.01=−2.33. Conclude whether to reject or not reject H0, and interpret the results. Select the correct answer below: Reject H0. At the 1% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis. Reject H0. At the 1% significance level, the data provide sufficient evidence to conclude that the mean market share is less than 16 percent. Do not reject H0. At the 1% significance level, the test results are not statistically significant…
Back in April and May of 1985, the Gallup organization conducted a poll to estimate the percentage of Americans who approved of how President Reagan was handling his job. At the 5% significance level, do the data suggest that the percentage of those who approved of Reagan increased from April to May in 1985? Population 1: April p = 795/1528 = 0.5203Population 2: May p = 840/1528 = 0.5497Show all your steps, setting up your null and alternative hypothesis.
A major credit card company is interested in the proportion of individuals who use a competitor’s credit card. Their null hypothesis is H0: p=0.65H0: p=0.65, and based on a sample they find a sample proportion of 0.70 and a pp-value of 0.053. Is there convincing statistical evidence at the 0.05 level of significance that the true proportion of individuals who use the competitor’s card is actually greater than 0.65 ? Yes, because the sample proportion 0.70 is greater than the hypothesized proportion 0.65. A Yes, because the pp-value 0.053 is greater than the significance level 0.05. B No, because the sample proportion 0.70 is greater than the hypothesized proportion 0.65. C No, since the sample proportion 0.70 is exactly 0.05 away from the hypothesized proportion 0.65. D No, because the pp-value 0.053 is greater than the significance level 0.05.
Answer the following true or false. If false, explain why. a. We can reduce α (alpha) by pushing the critical regions further into the tails of the distribution. b. A decrease in the probability of the type II error always results in an increase in the probability of the type I error, provided that the sample size n does not change. c. The p-value of a left-sided hypothesis test is always half of a two-sided hypothesis test.