Homework Answers
(a) Type I error
(b) Random samples have variability. They can be quite unlike the population they were taken from, and this sampling error can cause us to make incorrect conclusions.
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3 When we conduct a hypothesis test, there is always a possibility that our sample data...
5. We conduct a test of hypothesis using a significance level of 0.05. This implies (a)...
5. We conduct a test of hypothesis using a significance level of 0.05. This implies (a) the test has a 5% chance of H, being true. (b) the test has a 95% chance of a type II error. (c) the test has a 5% chance of being true. (d) none of the above.
Suppose we want to conduct a hypothesis test relating to the mean of a certain population...
Suppose we want to conduct a hypothesis test relating to the mean of a certain population where the population variance is unknown. To conduct the test, we collect data from a random sample of 27 members of the population. a. Explain why we should use a t-test instead of a z-test in this situation. What is the distribution of the t-statistic in this case? (Recall that the t-statistic is defined as ? = ?̅−? ?/√? ) b. Find the following...
Question 3 (6 points) Which of the following statements ARE CORRECT about hypothesis tests we cover...
Question 3 (6 points) Which of the following statements ARE CORRECT about hypothesis tests we cover in Stats I? Select all that apply! Question 3 options: We use the normal distribution when we conduct a hypothesis test about a population mean. We use the t-distribution when we conduct a hypothesis test about a population proportion. Researchers get to choose the significance level. A few popular choices are 10%, 5% and 1%. However, it is not possible to choose 0%! We...
1. Conduct a test of the null hypothesis that the mean height for all students in...
1. Conduct a test of the null hypothesis that the mean height for all students in the Census at School database is equal to 155 cm vs the alternative that the mean Height is greater than 155 cm. Use a significance level of 0.05. a. State the null and alternative hypotheses. Ho: m = 155 Ha: m > 155 b. Provide the Statcrunch output table. Hypothesis test results: Variable Sample Mean Std. Err. DF T-Stat P-value Height 159.86 1.7311103 49...
Consider the following hypothesis test. H0: ≥ 10 H1: <10 The sample size is...
Consider the following hypothesis test. H0: ≥ 10 H1: <10 The sample size is 120 and the standard deviation of the population is 5. Use a = 0.05. a. If the real value of the population mean is 9, what is the probability that the mean of the sample will lead us not to reject H0? b. What type of error would be committed if the real value of the population mean was 9 and we conclude...
You take a random sample of size 30 and conduct a hypothesis test at the 5...
You take a random sample of size 30 and conduct a hypothesis test at the 5 % level of significance . If instead , you take a random sample of size 50 and conduct the same hypothesis test at the same 5 % level of significance , what can you say about the probability of a type I and type II error (all else being equal ) ? A. P (Type I errror ) decreases and P (Type II error...
1) In hypothesis testing, the region of rejection of the null hypothesis will always be smaller...
1) In hypothesis testing, the region of rejection of the null hypothesis will always be smaller than the region of acceptance of the null hypothesis. True or False? One-sample tests use data drawn from a single sample to test that the sample comes from a specified population. True or False? A study of more than 20,000 mothers of newborns revealed a 10% greater likelihood of purchase by mothers of boys versus mothers of girls. The null hypothesis is: "Mothers of...
Which of the following statements about the Null Hypothesis Decision Strategy is false? Group of answer...
Which of the following statements about the Null Hypothesis Decision Strategy is false? Group of answer choices As a last step, we state whether our scientific hypothesis is actually true or not The logic of NHDS is much the same for all research scenarios except for when we have categorical response variables Confidence in our conclusions about our population of interest is greater when we are able to obtain a random as opposed to a nonrandom sample from that population...
As we have seen, conducting a hypothesis test based on a sample of data is not...
As we have seen, conducting a hypothesis test based on a sample of data is not a fail-safe endeavor. As managers we need to weigh the pros and cons of each type of error. The movie theater manager wants to test whether showing old classics changes the average satisfaction rating of his customers. The null hypothesis is that there is no change. Describe what the type I and type II errors would be in the context of this problem. Which...
the accompanying sample information conduct the appropriate hypothesis test using the p-value i The sample information...
the accompanying sample information conduct the appropriate hypothesis test using the p-value i The sample information -X Sample 1 Sample 2 proport less than the proportion of pe n = 120 X1 = 40 n2 = 124 x2 = 55 Print Done Given the null and alternative hypotheses below, a level of significance a=0.1, together with the accompanying sample in hypothesis Ho: P2P2 HAPA <P2 Click on the icon to view the sample information Determine the value of the test...
5. We conduct a test of hypothesis using a significance level of 0.05. This implies (a) the test has a 5% chance of H, being true. (b) the test has a 95% chance of a type II error. (c) the test has a 5% chance of being true. (d) none of the above.
the accompanying sample information conduct the appropriate hypothesis test using the p-value i The sample information -X Sample 1 Sample 2 proport less than the proportion of pe n = 120 X1 = 40 n2 = 124 x2 = 55 Print Done Given the null and alternative hypotheses below, a level of significance a=0.1, together with the accompanying sample in hypothesis Ho: P2P2 HAPA <P2 Click on the icon to view the sample information Determine the value of the test...
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