Question

Follow the instructions below for the remaining questions (on page 2) For Confidence Intervals you must state each of the following: The estimate The margin of error An indication of how you used your technology (StatCrunch) for these calculations. A complete sentence that includes the confidence level explaining your result in context. For Hypothesis Tests you must include the 4 steps: Hypothesize (write the null and alternative hypotheses using correct notation) Prepare: Indicate the significance level a (usually given) and ensure that the conditions for testing are met. Show calculations where necessary. Compute: Calculate the test statistic and p-value. Include a sketch with the test statistic marked and the p-value shaded. Indicate what was entered into StatCrunch to get these results. Interpret: Write a complete sentence explaining your conclusion in context

Answer 1

Solution:-

3) 95% confidence interval for the proportion of all vet clinics that do not treat large animals is C.I = ( 0.6988, 0.8234).

Point estimate = 137/180 = 0.7611

Margin or error = 0.0623

$C.I = \hat{p}\pm z_{\alpha /2}\times \sqrt{\frac{p(1-p)}{n}}$

C.I = 0.76111 + 1.96 × 0.03178

C.I = 0.76111 + 0.06229

C.I = ( 0.6988, 0.8234)

95% confidence interval for the proportion of all vet clinics that do not treat large animals is C.I = ( 0.6988, 0.8234).