Name: Is there enough evidence to conclude that the proportion of the White vehi
ID: 3386423 • Letter: N
Question
Name: Is there enough evidence to conclude that the proportion of the White vehicles differs from the national proportion of 28%? 2. Use the following sample data that has been collected by your instructor over the past few years. Of the 424 students, 107 had a white vehicle. Show all 5 steps and use 10% level of significance. Step 1: Formulate the Null and Alternative Hypothesis (4 pts) Step 2: Record the Level of significance and the sample proportion. (2 pts) Step 3: Record the Test Statistic with proper symbol (2 pts) Step 4: Record the P-value and interpret the P-value using the context of the problem (5 pts) Step 5: What is the final decision AND interpret the final decision by using the context of the problem. (5 pts)Explanation / Answer
1.
Formulating the null and alternatuve hypotheses,
Ho: p = 0.28
Ha: p =/= 0.28 [ANSWER]
******************
2.
Here, level of significance = 0.10. [ANSWER]
As we see, the hypothesized po = 0.28
Getting the point estimate of p, p^,
p^ = x / n = 0.252358491 [ANSWER, SAMPLE PROPORTION]
*********************
3.
Getting the standard error of p^, sp,
sp = sqrt[po (1 - po)/n] = 0.021805314
Getting the z statistic,
z = (p^ - po)/sp = -1.267650171 [ANSWER TEST STATISTIC]
*************************
4.
As this is a 2 tailed test, then, getting the p value,
p = 0.204922907 [ANSWER, P VALUE]
Thus, there is a probability of 0.2049 that we can get a value at least this extremely far from the population proportion.
**********************
Thus, we fail to reject Ho, as P > 0.10.
There is no significant evidence that the sample data has a proportion different from the national proportion.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.