# Question: Test hypotheses When analyzing the last digits of telephone numbers

Test hypotheses When analyzing the last digits of telephone numbers in Port Jefferson, it is found that among 1000 randomly selected digits, 119 are zeros. If the digits are randomly selected, the proportion of zeros should be 0.1.

a. Use the critical value method with a 0.05 significance level to test the claim that the proportion of zeros equals 0.1.

b. Use the P-value method with a 0.05 significance level to test the claim that the proportion of zeros equals 0.1.

c. Use the sample data to construct a 95% confidence interval estimate of the proportion of zeros. What does the confidence interval suggest about the claim that the proportion of zeros equals 0.1?

c. Compare the results from the critical value method, the P-value method, and the confidence interval method. Do they all lead to the same conclusion?

a. Use the critical value method with a 0.05 significance level to test the claim that the proportion of zeros equals 0.1.

b. Use the P-value method with a 0.05 significance level to test the claim that the proportion of zeros equals 0.1.

c. Use the sample data to construct a 95% confidence interval estimate of the proportion of zeros. What does the confidence interval suggest about the claim that the proportion of zeros equals 0.1?

c. Compare the results from the critical value method, the P-value method, and the confidence interval method. Do they all lead to the same conclusion?

## Answer to relevant Questions

For a hypothesis test with a specified significance level a, the probability of a type I error is α, whereas the probability β of a type II error depends on the particular value of p that is used as an alternative to the ...Data Set 16 in Appendix B lists earthquake depths, and the summary statistics are n = 50, f = 9.81 km, and s = 5.01 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a ...In a test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels ...Use the earthquake magnitudes listed in Data Set 16 in Appendix B and test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.05 significance level. Identify the null hypothesis, ...For Example 1 in this section, the hypothesis test has power of 0.4274 of supporting the claim that µ < 1.00 W/kg when the actual population mean is 0.80 W/kg. a. Interpret the given value of the power. b. Identify the ...Post your question