Suzette, a dental assistant, would like to test the claim that the number of cavities of incoming patients at a doctor's office is more than 3 cavities on average. She decides to complete a hypothesis test at a 2.5% significance level. She samples 31 incoming dental patients, and determines the sample number of cavities to be 3.3 cavities on average with a sample standard deviation s=0.8 cavities.   Work through the testing procedure and interpret the results of the hypothesis test.

We would like to create a confidence interval for the mean. Which of the following would produce the smallest margin of error? Select one: a.A 95% confidence level and a sample size of 150 subjects b. A 99% confidence level and a sample size of 600 subjects. c. A 99% confidence level and a sample size of 150 subjects. d.A 95% confidence level and a sample size of 600 subjects.

In a simple random sample of 1200 young​ people, 86​% had earned a high school diploma. What is the standard error for this estimate of the percentage of all young people who earned a high school​ diploma?

Question 2 > The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty- year-olds have a different number of cavities? The data show the results of a survey of 14 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 7, 8, 7, 7, 9, 7, 10, 9, 8, 10, 6, 9, 6, 8 What can be concluded at the a = 0.05 level of significance? %3D a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: |? Select an answer H1: Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that . The data suggest the populaton mean is significantly different from 7 at a = 0.05, so there is sufficient evidence to conclude that the…

A statistician changes her level of significance from .001 to .05.  What impact will this change have on her risk of making a Type I and Type II error?  Is the change in the level of significance a good decision?  Why or why not?

Suppose a researcher wants to estimate the population proportion of defective light bulbs. He took a random sample of 800 light bulbs and 40 of them found out to be defective.  Suppose the researcher claims that the defective proportion of light bulb is less than 7%. Suppose he wants to test this claim at 5% significance level.   Calculate the test statistics. (Round your answer to two decimal places )