A researcher claims the proportion of auto accidents that involve

/in /by

A researcher claims the proportion of auto accidents that involve
teenage drivers is greater than 10%. ABC Insurance Company checks police records on 200 randomly selected auto accidents and notes that teenagers were at the wheel in 25 of them. Assume the company wants to use a 0.10 significance level to test the researcher’s claim. (a) What is the appropriate hypothesis test to use for this analysis: one-sample z-test for the population proportion, one-sample t-test for population proportion, one-sample z-test for population mean, or one-sample t- test for population mean? Please identify and explain why it is appropriate.
(b) Identify the null hypothesis and the alternative hypothesis.
(c) Determine the test statistic. Round your answer to two decimal places. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
(d) Determine the P-value for this test. Round your answer to three decimal places. Show all work; writing the correct P-value, without supporting work, will receive no credit.
(e) Compare p-value and significance level a. What decision should be made regarding the null hypothesis (e.g., reject or fail to reject) and why?
(f) Is there sufficient evidence to support the researcher’s claim that the proportion of auto accidents that involve teenage drivers is greater than 10%? Explain.

 
Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code "Newclient"

Mimi was curious if regular excise really helps weight loss,

/in /by

Mimi was curious if regular excise really helps weight loss, hence
she decided to perform a hypothesis test. A random sample of 5 UMUC students was chosen. The students took a 30- minute exercise every day for 6 months. The weight was recorded for each individual before and after the exercise regimen. Does the data below suggest that the regular exercise helps weight loss? Assume Mimi wants to use a 0.05 significance level to test the claim.
SUBJECT
WEIGHT BEFORE
WEIGHT AFTER

1
190
180

2
170
160

3
185
190

4
160
160

5
200
190
Weight (pounds) Subject Before After 1 190 180 2 170 160 3 185 190 4 160 160 5 200 190
(a) What is the appropriate hypothesis test to use for this analysis: z-test for two proportions, t-test for two proportions, t-test for two dependent samples (matched pairs), or t-test for two independent samples? Please identify and explain why it is appropriate.
(b) Let gl = mean weight before the exercise regime. Let g2 = mean weight after the exercise regime. Which of the following statements correctly defines the null hypothesis?
(i) gl -1-12>0 (gd > O)
(ii) – 112 = o (gd = 0)
(iii) PI – 112 <0 (gd < O)
(c) Let gl = mean weight before the exercise regime. Let 112 = mean weight after the exercise regime. Which of the following statements correctly defines the alternative hypothesis?
(a) ul – > O (gd > O)
(b) gl – g2 = O (gd = O)

(d) Determine the test statistic. Round your answer to three decimal places. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
(e) Determine the p-value. Round your answer to three decimal places. Show all work; writing the correct critical value, without supporting work, will receive no credit.
(f) Compare p-value and significance level a. What decision should be made regarding the null hypothesis (e.g., reject or fail to reject) and why?
(g) Is there sufficient evidence to support the claim that regular exercise helps weight loss? Justify your conclusion.

 
Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code "Newclient"

The UMUC Daily News reported that the color distribution for plain

/in /by

The UMUC Daily News reported that the color distribution for plain
M&M’s was: 40% brown, 20% yellow, 20% orange, 10% green, and 10% tan. Each piece of candy in a random sample of 100 plain M&M’s was classified according to color, and the results are listed below. Use a 0.05 significance level to test the claim that the published color distribution is correct. Show all work and justify your answer.
COLOR
BROWN
YELLOW
ORANGE
GREEN
TAN
NUMBER
42
18
15
7
18
(a) What is the appropriate hypothesis test: z-test for sample proportion, t-test for sample mean, chisquare goodness of fit test, F-test for ANOVA? Please identify and explain why it is appropriate for analyzing this data.
(b) Identify the null hypothesis and the alternative hypothesis.
(c) Determine the test statistic. Round your answer to two decimal places. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
(d) Determine the P-value. Round your answer to two decimal places. Show all work; writing the correct Pvalue, without supporting work, will receive no credit.
(e) Compare p-value and significance level a. What decision should be made regarding the null hypothesis (e.g., reject or fail to reject) and why?
(f) Is there sufficient evidence to support the claim that the published color distribution is correct? Justify your answer.

 
Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code "Newclient"

What is the appropriate statistical analysis to use

/in /by

What is the appropriate statistical analysis to use: t-test for two
independent samples, t-test for dependent samples, ANOVA, or chi-square test of independence? Please identify and explain why it is appropriate.
(a) A study was conducted to see whether monetary incentives to use less water during times of drought had an effect on water usage. Sixty single family homeowners were randomly assigned to one of two groups: 1) monetary incentives and 2) no monetary incentives. At the end of three months, the total amount of water usage for each household, in gallons, was measured.
(b) A study was conducted to see whether the mean weight loss is the same for 10 different weight loss programs. Each of the 10 programs had 50 subjects in it. The subjects were followed for 12 months. Weight change for each subject was recorded.

 
Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code "Newclient"