1. What are the null and alternative hypotheses? Ho: p= 0.5000 Ha: p>0.5000 2. Calculate the null standard error for this hypothesis test. SE = 0.0358 3. What is the test statistic for this hypothesis test? z = 1.3601

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 13PPS
icon
Related questions
Topic Video
Question

I need help with 1, 2 and 3 plz. 

Close to home
A 2008 study by the National Highway Traffic Safety Administration reported that 50% of all car crashes occur within 5 miles of the
crashing person's home. Jill is skeptical of this report and believes that the true proportion of such crashes is more than 50%. Jill collects a random
sample of 195 crashes and finds that 107 have occurred within 5 miles of the crashing person's home.
Round all numeric answers to 4 decimal places.
1. What are the null and alternative hypotheses?
Ho: p = 0.5000 v
Ha: p> 0.5000
2. Calculate the null standard error for this hypothesis test.
SE =
0.0358
3. What is the test statistic for this hypothesis test?
= Z
1.3601
4. Calculate the p-value.
p = 0.0869
5. Based on the p-value, we have Some
v evidence against the null hypothesis.
6. Which of the statements below are correct interpretations of the null standard error? You should choose all that are correct interpretations.
A. The null standard error estimates the width of a confidence interval for the hypothesized parameter, po.
|B. The null standard error estimates the probability that the hypothesized parameter, po, is correct.
|C. Under the null hypothesis model, we expect that a sample proportion will be, on average, within one null standard error of the hypothesized
parameter, Po.
D. The null standard error tells us the strength of the null model.
E. The null standard error is the probability that the null hypothesis is true.
Transcribed Image Text:Close to home A 2008 study by the National Highway Traffic Safety Administration reported that 50% of all car crashes occur within 5 miles of the crashing person's home. Jill is skeptical of this report and believes that the true proportion of such crashes is more than 50%. Jill collects a random sample of 195 crashes and finds that 107 have occurred within 5 miles of the crashing person's home. Round all numeric answers to 4 decimal places. 1. What are the null and alternative hypotheses? Ho: p = 0.5000 v Ha: p> 0.5000 2. Calculate the null standard error for this hypothesis test. SE = 0.0358 3. What is the test statistic for this hypothesis test? = Z 1.3601 4. Calculate the p-value. p = 0.0869 5. Based on the p-value, we have Some v evidence against the null hypothesis. 6. Which of the statements below are correct interpretations of the null standard error? You should choose all that are correct interpretations. A. The null standard error estimates the width of a confidence interval for the hypothesized parameter, po. |B. The null standard error estimates the probability that the hypothesized parameter, po, is correct. |C. Under the null hypothesis model, we expect that a sample proportion will be, on average, within one null standard error of the hypothesized parameter, Po. D. The null standard error tells us the strength of the null model. E. The null standard error is the probability that the null hypothesis is true.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Quadrilaterals
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL