A large university is curious if they should build another cafeteria. They plan to survey a sample of their students to see if there is strong evidence that the proportion interested in a meal plan is higher than 40%, in which case they will consider building a new cafeteria. Let p represent the proportion of students interested in a meal plan. Here are the hypotheses they'll use: Hop ≤ 0.4 Ha:p> 0.4 Which of the following would be a Type II error in this setting? A. More than 40% are actually interested, and they don't conclude that more than 40% are interested. B. More than 40% are actually interested, and they conclude that more than 40% are interested. C. At most 40% are actually interested, and they conclude that more than 40% are interested. D. At most 40% percent are actually interested, and they conclude that less than 40% are interested. OA OC OB O

The accuracy of a census report on a city in southern California was questioned by some government officials. A random sample of 1215 people living in the city was used to check the report, and the results are shown below. Census Sample Result Ethnic Origin Percent Black 10% 123 Asian 3% 46 38% Anglo Latino/Latina 471 41% 505 Native American 6% 61 All others 2% 9. A USE SALT Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree. (a) What is the level of significance? State the null and alternate hypotheses. O H: The distributions are the same. H: The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are different. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places.…

The null hypothesis and the alternate hypothesis are: H0: The frequencies are equal.H1: The frequencies are not equal.  Category f0 A 10 B 10 C 20 D 10    a. State the decision rule, using the 0.01 significance level. (Round your answer to 3 decimal places.)     b. Compute the value of chi-square. (Round your answer to 2 decimal place.)     c. What is your decision regarding H0?

2. Which one of the following statements is correct? A. If you are told a sample percentage is 25%, you would need to know the sample size in order to convert that percentage to a proportion. B. We always begin a hypothesis test by assuming that the alternative hypothesis is true. C. The test statistic is affected by the size of the sample. D. A small P-value means we have evidence in favor of the null hypothesis. E. The test statistic will be negative if the claimed population proportion is smaller than the sample proportion.

The agriculture extension office wants to test the claim that GMO carrots are longer than Organic carrots. What kind of hypotheisis test is this? O 1 Proportion z-test 2 Proportions z-test 1 Mean t-test 2 Means Matched Pairs t-test 2 Independent Means t-test Which hypotheses do we want to test? O Họ: H1 = H2 HẠ: H1= H2 O Họ: H1 = H2 HA: H1 = H2 O Ho: H1 = H2 HA: H1> H2 O Ho: H1 = H2 HA: H1< H2

A researcher claims that the incidence of a certain type of cancer is less than 5%. To test this claim, the a random sample of 4000 people are checked and 170 are determined to have the cancer. The following is the setup for this hypothesis test: Ho p 0.05 Ha :p< 0.05 In this example, the p-value was determined to be 0.015. come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select the correct answer below O The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim o The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim.

A researcher wants to study the proportion of people on trial for first degree murder who are found guilty. From a random sample of 60 people on trial for first degree murder, 45 people were found guilty. The picture below is the question. The above text is the used with the picture.

A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. The following is the setup for this hypothesis test: Ho :p-0.65 Ha : p < 0.65 In this example, the p-value was determined to be 0.277 come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select the correct answer below: O The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim

Describe type I and type II errors for a hypothesis test of the indicated claim. A furniture store claims that at least 40% of its new customers will return to buy their next piece of furniture. Describe the type I error. Choose the correct answer below. OA. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.40, but you fail to reject Ho: p20.40. OB. A type I error will occur when the actual proportion of new customers who return to buy their next piece furniture is at least 0.40, but you reject Ho: p20.40. OC. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.40, but you reject Ho: p ≤ 0.40. OD. A type I error will occur when the actual proportion of new customers who return to buy their next piece f furniture is no more than 0.40, but you fail to reject Ho: p ≤0.40. Describe the type II error. Choose the correct answer…

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