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: 11​% ​red, 22​% ​orange, 15​% ​yellow, 14​% ​brown, 24​% ​blue, and 14​% green. Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.025 significance level.   Color Number_in_Package Red 14 Orange 23 Yellow 10 Brown 9 Blue 27 Green 17 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. do not/is not

A survey of 1031 adults in a college asked whether they liked chocolate or strawberry ice cream more. Of those surveyed, 536 said they prefer chocolate. Determine and interpret the sample proportion. At the 5% significance level, does the data provide sufficient evidence to conclude that a majority of students in the college prefer chocolate ice cream?

A soft drink company is being market tested . A sample of 400 individuals participated in the taste test and 80 indicated they like the taste. A. At a 5% significance level, test a determine if at least 22% of the population will like the new soft drink. B. Determine the p- value

Suppose that in a random selection of 100 colored​ candies, 20​% of them are blue. The candy company claims that the percentage of blue candies is equal to 29​%. Use a 0.01 significance level to test that claim.

Researchers reported a study in which 409 domestic violence defendants were randomly assigned to counseling and probation​ (the experimental​ group) or just probation​ (the control​ group). Out of people 238 in the counseling​ group, 51 were arrested within 12 months. Out of 171 people assigned to​ probation,41 were arrested within 12 months. Determine whether counseling lowered the arrest​rate; use a 0.05 significance level. Start by comparing the percentages. 1. Write the hypothesis for the test. Ho ___ Ha ____ 2. z = ___  ​(Round to two decimal places as​needed.) 3. p-value = ____ (Round to three decimal places as​needed.) 4. What is the conclusion for this​ test? Use a significance level of 0.05.

The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a final decision, the council asked the chief of police to survey other cities of similar size to determine the relationship between the number of police and the number of crimes reported. The chief gathered the following sample information.   City Police   Number of Crimes   City   Police   Number of Crimes Oxford   13       13       Holgate       14       5   Starksville   14       12       Carey       11       16   Danville   20       5       Whistler       9       20   Athens   23       7       Woodville       18       6          Click here for the Excel Data Filea. Determine the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 4 decimal places.)   b. Estimate the number of crimes for a city with 24 police officers. (Round your answer to the nearest whole number.)   c. Interpret the regression…

Suppose that in a random selection of 100 colored​ candies, 20​% of them are blue. The candy company claims that the percentage of blue candies is equal to 22​%. Use a 0.01 significance level to test that claim.