Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A company claims that its packages of 100 candies are distributed with the following color percentages: 13% red, 21% orange, 14% yellow, 12% brown, 22% blue, and 18% green. Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.10 significance level. Click the icon to view the color counts for the candy in the package. Click here to view the chi-square distribution table. The test statistic is (Round to two decimal places as needed.) The critical value is (Round to three decimal places as needed.) State the conclusion. Ho. There sufficient evidence to warrant rejection of the claim that the color distribution is as claimed.

About 79 % of college students support a "smoke free" campus initiative. What is the minimum sample size required so that the sampling distribution of the sample proportion is approximately normal? n = 51 n = 16 n = 48 n = 96

The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514. SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree. College Grads 485 487 518 517 650 542 570 426 566 499 588 562 497 448 592 453   High School Grads 442 492 580 478 479 425 486 485 528 390 524 535 (b) What is the point estimate of the difference between the means for the two populations?   (c) Find the value of the test statistic. (Round your answer…

Consider a sample with data values of 10, 20, 15, 16, and 18. Compute the range and interquartile range.

Fund the mean and variance for the following sample data 12, 16, 11, 23, 9, 17, 12, 25

1. Find the mean for the given sample data. 2, 5, 9, 13, 17, 20

Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the 19th, 24th, 65th, and 75th percentiles. If needed, round your answers to two decimal digits. Percentile Value 19% 24% 65% 75%

A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 60 men, 35% owned cats. In the second sample of 80 women, 60% owned cats. Test the veterinarian's belief at the a = significance level. Preliminary: a. Is it safe to assume that nmen 5% of all men and nwomen 5% of all women? 0.05 Yes No b. Verify np (1 - p) ≥ 10. Round your answer to one decimal place. np (1 − p) nmen = nwomen (1 - p) Test the claim: = a. Determine the null and alternative hypotheses. Ho: Pmen? Pwomen Ha Pmen ? Pwomen b. The hypothesis test is right-tailed left-tailed two-tailed c. Determine the test statistic. Round to two decimal places. z = d. Find the p-value. Round to four decimal places. p-value e. Make a decision. O Fail to reject the null…

Consider the following sets of sample data: A: $2.48 , $1.02 , $1.82 , $2.24 , $2.43 , $2.63 , $1.81 , $2.18 , $1.58 , $1.73 , $1.37 , $1.18 , $1.53 , $1.06 B: 97 , 134 , 139 , 126 , 120 , 143 , 141 , 142 , 113 , 99 , 129 Step 1 of 2: For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place. what is the cv for data set a and b

Consider the relationship between p-values and significance levels. a. Explain why a value of z-statistic that is significant at the 1% level in a one-sided test is always significant at the 5% level. b. Explain why the reverse is not true. If something is significant at the 5% level in a one-sided test it is not necessarily significant at the 1% level.