Chapter 9 Hypothesis Tests for a Single Population Proportion (counts towards your grade)

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12/9/23, 10:06 PM Chapter 9 Hypothesis Tests for a Single Population Proportion (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211620?module_item_id=3857931 1/16 1/1 pt Details Question 2 1/1 pt Details left-tailed right-tailed two-tailed Test the claim that the proportion of men who own cats is significantly different than 70% at the 0.02 significance level. The null and alternative hypothesis would be: The test is: Based on a sample of 25 people, 76% owned cats The test statistic is: .65 (to 2 decimals) The positive critical value is: 2.33 (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis Question Help: Message instructor Test the claim that the proportion of people who own cats is larger than 80% at the 0.025 significance level. The null and alternative hypothesis would be:
12/9/23, 10:06 PM Chapter 9 Hypothesis Tests for a Single Population Proportion (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211620?module_item_id=3857931 2/16 The test is: left-tailed right-tailed two-tailed Based on a sample of 700 people, 82% owned cats The test statistic is: 1.32 (Round to 2 decimals ) The p-value is: .09 (Round to 2 decimals ) Based on this we: Reject the null hypothesis
12/9/23, 10:06 PM Chapter 9 Hypothesis Tests for a Single Population Proportion (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211620?module_item_id=3857931 3/16 Question 3 1/1 pt Details Do not reject the null hypothesis Question Help: Message instructor left-tailed two-tailed right-tailed A well-known brokerage firm executive claimed that 80% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 400 people, 87% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is larger than 80% at the 0.01 significance level. The null and alternative hypothesis would be: The test is: The test statistic is: 3.5 (to 3 decimals) The p-value is: .0002 (to 4 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis Question Help: Message instructor
12/9/23, 10:06 PM Chapter 9 Hypothesis Tests for a Single Population Proportion (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211620?module_item_id=3857931 4/16 Question 4 1/1 pt Details A recent newspaper article claims that 54% of car accidents involve some evidence of distracted driving. A police officer questions this claim, and pulls a random sample of 95 accident reports. If 43 of them involve distracted driving, is this enough evidence to show that the proportion of car accidents involve some evidence of distracted driving is significantly different from than reported by the newspaper? (Use =0.025) 1. For this study, we should use 2. The null and alternative hypotheses would be: : .54 (please enter a decimal) : .54 (Please enter a decimal) 3. The test statistic = -1.709 (please show your answer to 3 decimal places.) 4. The p-value = .0875 (Please show your answer to 4 decimal places.) 5. The p-value is Hypothesis Test for a Population Proportion p = p ≠ >
12/9/23, 10:06 PM Chapter 9 Hypothesis Tests for a Single Population Proportion (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211620?module_item_id=3857931 5/16 Question 5 1/1 pt Details 6. Based on this, we should the null hypothesis. 7. As such, the final conclusion is that ... The sample data suggest that the populaton proportion is significantly different from 54% at = 0.025, so there is sufficient evidence to conclude that the proportion of car accidents involve some evidence of distracted driving is different from 54% The sample data suggest that the population proportion is not significantly different from 54% at = 0.025, so there is not sufficient evidence to conclude that the proportion of car accidents involve some evidence of distracted driving is different from 54%. Question Help: fail to reject Message instructor You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly larger than 67% at a significance level of = 0.05. According to your sample, 75 out of 100 potential voters prefer Candidate A. 1. For this study, we should use 2. The null and alternative hypotheses would be: : .67 (please enter a decimal) : .67 (Please enter a decimal) Hypothesis Test for a Population Proportion p = p >
12/9/23, 10:06 PM Chapter 9 Hypothesis Tests for a Single Population Proportion (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211620?module_item_id=3857931 6/16 Question 6 1/1 pt Details 3. The test statistic = 1.701 (please show your answer to 3 decimal places.) 4. The p-value = 0.0445 (Please show your answer to 4 decimal places.) 5. The p-value is 6. Based on this, we should the null hypothesis. 7. As such, the final conclusion is that ... The sample data suggest that the population proportion is not significantly larger than 67% at = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is larger than 67%. The sample data suggest that the populaton proportion is significantly larger than 67% at = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is larger than 67% Question Help: less than (or equal to) reject Message instructor In a certain school district, it was observed that 30% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 137 out of 409 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the level of significance. What is the hypothesized population proportion for this test?
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