A random sample of 100 dog owners is asked to state the animal's gender and favorite toy. The results are recorded in the table.Gender Ball Rope Stuffed AnimalMaleFemale102428121610A chi-square test is used to test the null hypothesis that gender and preferred toy are independent. Which of the following statements is correct?O Fail to reject Ho at the 0.05 significance level.◇ Fail to reject Ho at the 0.01 significance level.◇ Reject Ho at the 0.01 significance level.Reject Ho at the 0.005 significance level.◇ Reject Ho at the 0.001 significance level.

Let's go through the complete calculation of the Chi-square test for this problem.Observed…

Answered: A random sample of 100 dog owners is…

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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Conduct an hypothesis testing using a 5% significance level Using P value or classical approach. Determine whether votes for governor in a particular election are independent of the voter's political party affiliation.
Forbes reports that women in general trust recommendations from Pinterest more than recommendations from any other social network platform. But does trust in Pinterest differ by gender? The following sample data show the number of women and men who state in a recent survey that they trust recommendations made on Pinterest. Sample Trust recommendations made on Pinterest Women 150 117 Men 170 102 We want to determine whether trust in Pinterest differ by gender. Formulate the null and the alternative hypotheses. Use 1 to represent women and 2 to represent men. H0: Ha: Null: p1 – p2 ≥ 0; Alternative: p1 – p2 < 0 Null: p1 – p2 = 0 ; Alternative: p1 – p2 ≠ 0 Null: p1 – p2 ≤ 0; Alternative: p1 – p2 > 0 B. What the test statistics? You probably need to find the pooled proportion first. Pooled proportion is ___________. 0.6 0.78 0.6844 C. Test statistic is ________. 3.46 1.28 66.41 4.36
The accompanying table shows results of challenged referee calls in a major tennis tournament. Use a 0.05 significance level to test the claim that the gender of the tennis player is independent of whether a call is overturned. Was the Challenge to the Call Successful? Yes No Men 246 790 Women 351 550
A plumber was interested in determining whether there is a significant difference in the price charged for plumbing tools by two hardware stores. The plumber selected five tools and recorded the price for each tool in each store. The following data was recorded: Store 1 2 Tool 2 R59.25 R22.50 R450 R44.25 R22.50 R36.75 R75 4 R480 R44.25 R60 Perform the appropriate test of hypothesis to determine whether there is a significant difference, on average, in the price of plumbing tools between the two stores, showing all 7 steps. Include both the rejection region and the p-value.
4. Use a 0.05 significance level to test the claim that gender and left-handedness are independent. Male Female Left-handed 83 184 Right-handed 17 16
2
5
A manufacturing plant knows that in reality 80% of products made are perfect. An inspector selects four products at random. What is the mean number of perfect products in any sample of 4? It can be assumed that each product is independent of the others.

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