MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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2. The steps of hypothesis testing
You intend to draw a random sample in order to test a hypothesis about an unknown population mean. You will use a hypothesis test. A description of each of the steps of a hypothesis test follows, but they may be specified in the incorrect order. Specify the correct order of the steps.
Determine the null and alternative hypotheses. | |
Decide whether to reject or fail to reject the null hypothesis. | |
Determine the |
|
Collect the data and compute the sample statistic. |
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- Subject : Statesticarrow_forwardK The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a= 0.01, (b) a = 0.05, and (c) a = 0.10. P=0.0647 .. (a) Do you reject or fail to reject Ho at the 0.01 level of significance? OA. Reject Ho because the P-value, 0.0647, is greater than α=0.01. O B. Fail to reject Ho because the P-value, 0.0647, is less than α = 0.01. O C. Fail to reject Ho because the P-value, 0.0647, is greater than a = 0.01. OD. Reject Ho because the P-value, 0.0647, is less than a = 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance? OA. Fail to reject Ho because the P-value, 0.0647, is greater than α=0.05. OB. Reject Ho because the P-value, 0.0647, is greater than a = 0.05. OC. Reject Ho because the P-value, 0.0647, is less than a = 0.05. O D. Fail to reject Ho because the P-value, 0.0647, is less than a = 0.05. (c) Do you reject or fail to reject Ho at the 0.10 level of significance? 1arrow_forwardThe following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the a 0.1 level of significance. Category 1 Category 2 Category 3 Failures 84 34 48 Successes 65 72 62 State the hypotheses Choose the correct answer below. A H The categories of the variable and success and failure are dependent. H, The categories of the variable and success and failure are independent. B H PP2"P3 H, At least one of the proportions is different from the others. He The categories of the variable and success and failure are independent. H, The categories of the variable and success and failure are dependent. D. Ho H=E, and u, =E, and ua =E H, At least one mean is different from what is expected What is the P-value? (Round to three decimal places as needed.)arrow_forward
- Describe type I and type Il errors for a hypothesis test of the indicated claim. A furniture store claims that no more than 60% of its new customers will return to buy their next piece of furniture. Describe the type error. Choose the correct answer below. A. A type error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0 60 but you reject Ho p≤0.60. B Atype error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0 60, but you reject H, p=0.60 C. A type l error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.60, but you fail to reject H, p=0.60 D Atype 1 error will occur when the actual pro ortion of new customers who return to buy their next piece of furniture is Clear all Check answerarrow_forwardFood inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the following hypotheses. H0: the food is safe Ha: the food is not safe The following is an example of what type of error? The sample suggests that the food is safe, but it actually is not safe. type I type II not an errorarrow_forwardDescribe 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…arrow_forward
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