Could you answer the following questions?

Also there's an Appendix data image that I included that will be needed for a part of the assignment.

Week 6 - T-tests Assignment

Purpose: The purpose of this assignment is to work through an example to find the critical value of t and explain how to use it to test a null hypothesis.

Instructions: Based on the below scenario, answer the questions in this document and submit as follows:

? Study the scenario, and then provide thorough answers to each question below.

Scenario

A spokesperson from the National Rifle Association (NRA) states that 45% of the households in the United States contain at least one firearm. Assume that this is your population value. Your goal was to take a random sample of 200 homes, but your research yielded only 29 responses. And you find out that only about 23% of them contain a firearm. You want to test the null hypothesis that the population proportion is 45% against the alternative that it is less than that. You set your alpha at .01. With n=29, you will use the t-statistic and the sampling distribution of the tto perform the hypothesis test.

Questions

1. For this example, is this a directional or a nondirectional test?

2. What are the degrees of freedom in this sample?

3. Using the table in your textbook's Appendix B (for the sampling distribution of the t), what is the critical value of t?

4. What is the decision rule in this example to reject the null hypothesis?

5. If you do reject the null hypothesis, what is the implication about the NRA's assertion about homes containing firearms?

6. If you did get 200 responses in your sample, how would your analysis differ?

Appendix chart data image:

Appendix B A-13 Table B.3 The t Distribution 10 05 Level of Significance for a One-Tailed Test 025 01 005 0005 20 10 Level of Significance for a Two-Tailed Test 3.078 05 6.314 02 01 1001 1.886 2.920 12.706 1.638 31.821 2.353 4.303 63.657 636.619 1.533 6.965 9.925 2.132 3.182 31.598 1.476 2.776 4.541 2.015 5.841 12.941 2.571 3.747 4.604 8.610 1.440 3.365 1.943 4.032 6.859 1.415 1.895 2.447 3.143 2.365 3.707 1.397 5.959 1.860 2.998 1.383 2.306 3.499 5.405 1.833 2.896 3.355 5.041 1.372 2.262 1.812 2.821 2.228 3.250 4.781 2.764 1.363 3.169 4.587 1.796 1.356 2.201 1.782 2.718 3.106 4.437 2.179 1.350 2.681 1.771 3.055 4.318 GAGNE 2.160 1.345 1.761 2.650 3.012 2.145 4.221 2.624 1.341 1.753 2.977 4.140 2.131 2.602 2.947 4.073 1.337 1.746 2.120 2.583 2.921 4.015 1.333 1.740 2.110 2.567 2.898 3.965 1.330 1.734 2.101 2.552 2.878 3.922 1.328 1.729 2.093 2.539 2.861 3.883 1.325 1.725 2.086 2.528 2.845 3.850 1.323 1.721 2.080 2.518 2.831 3.819 2.819 3.792 1.321 1.717 2.074 2.508 2.807 3.767 1.319 1.714 2.069 2.500 2.492 2.797 3.745 1.318 1.711 2.064 2.485 2.787 3.725 1.316 1.708 2.060 2.056 2.479 2.779 3.707 1.315 1.706 2.771 3.690 2.473 1.314 1.703 2.052 2.763 3.674 86848 2.048 2.467 3.659 1.313 1.701 2.462 2.756 2.045 2.750 3.646 1.311 1.699 2.457 2.042 1.310 1.697 2.704 3.551 2.423 2.021 2.660 3.460 1.303 1.684 2.390 2.000 2.617 3.373 $ 885 1.206 1.671 2.358 1.980 2.576 3.291 2.326 1.289 1.658 1.960 1.282 1.645 nd F. Yates, Statistical Tables for Biological, Agricultural and