In a random sample of 200 men, 125 said they used seat belts. In a random...

In a random sample of 200 men, 125 said they used seat belts. In a random sample of 300 women, 65 said they used seat belts. Test the claim that women are less safety-conscious than men at α = 0.01. Use the P-value method.

Expert Solution

We calculate the test statistic using the formula mentioned. The p value is obtained from STATKEY (image attached for reference). We compare the p value with the level of significance and make the required conclusion.

orchestra answered 1 year ago

In a sample of 50 men, 33 said they used seat belts. In a sample of...

In a sample of 50 men, 33 said they used seat belts. In a sample of 64 women, 48 said they used seatbelts. Step 1: Calculate the margin of error of a 90% confidence interval for the true difference between the proportions of men and women using a seat belt. Step 2: Construct a 90% confidence interval for the true difference between the proportions of men and women using seat belts.

6. Seat Belts A simple random sample of front-seat occupants involved in car crashes is obtained....

6. Seat Belts A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2823 occupants not wearing seat belts, 31 were killed. Among 7765 occupants wearing seat belts, 16 were killed. The claim is that the fatality rate is higher for those not wearing seat belts. Are Seat Belts Effective? Use alpha=0.01 Hint: We are testing for difference between two proportions. Let P1 indicate the proportion of occupants not wearing seat belts, P2 indicate the proportion...

In a random sample of 800 men aged 25 to 35 years, 24% said they live...

In a random sample of 800 men aged 25 to 35 years, 24% said they live with one or both parents. Construct a 95% confidence interval for the proportion of men aged 25 to 35 that live with their parents. Make sure to include every step and an interpretation.

1. In a random sample of 200 college graduates, 42 said that they think a college...

1. In a random sample of 200 college graduates, 42 said that they think a college degree is not worth the cost. Test to see if this sample provides significant evidence that the population proportion of college graduates who believe a college degree is not worth the cost is DIFFERENT FROM 25%. Use a 5% significance level. Round all calculations to three decimal places. Verify that the sample size is large enough (2 short calculations) a. Write the null and...

in a random sample of 200 people 153 said that they watched educational television find the...

in a random sample of 200 people 153 said that they watched educational television find the 99% confidence interval of the true proportion of people who watched educational television round intermediate answers to at least 5 decimal places and final answer to 3

In a random sample of 200 people, 135 said that they watched educational TV. Find the...

In a random sample of 200 people, 135 said that they watched educational TV. Find the 95% confidence interval of the true proportion of people who watched educational TV. A. 0.325 < < 0.675 B. –1.96 < < 1.96 C. 0.6101 < < 0.7399 D. 0.6704 < < 0.6796

8% of men are red-green colorblind. A sample of 125 men is gathered from a particular...

8% of men are red-green colorblind. A sample of 125 men is gathered from a particular subpopulation, and 13 men in this sample are colorblind. a. Is this statistically significant evidence that the proportion of red-green colorblind men is greater than the subpopulation than the national average with alpha = 0.05? b. What is the maximum number of men that could have been colorblind in this sample that would lead you to fail to reject the null hypothesis? c. Using...

4.2 A random sample of 200 20-year-old men is selected from a population and these men's...

4.2 A random sample of 200 20-year-old men is selected from a population and these men's height and weight are recorded. A regression of weight on height yields -------Weight = -99.41 + 3.94 x Height, R2 = 0.81, SER = 10.2, where Weight is measured in pounds and Height is measured in inches. a. What is the regression's weight prediction for someone who is 70 in. tall? 65 in. tall? 74 in. tall? b. A man has a late growth...

A research program used a representative random sample of men and women to gauge the size...

A research program used a representative random sample of men and women to gauge the size of the personal network of older adults. Each adult in the sample was asked to "please name the people you have frequent contact with and who are also important to you." The responses of 2 comma 816 adults in this sample yielded statistics on network size, that is, the mean number of people named per person was x overbarequals14.8, with a standard deviation of...

Approximately 8% of males experience red-green color blindness. Suppose a random sample of 200 men is...

Approximately 8% of males experience red-green color blindness. Suppose a random sample of 200 men is chosen. a. Assuming the necessary conditions are satisfied, give the mean and standard deviation of the Normal model that would be used to approximate the sampling distribution of the sample proportion of red-green color blindness. b. Sketch and clearly label the sampling distribution, based on the 68-95-99.7 Rule. c. Suppose the 200 person sample had a sample proportion of 10%. What is the probability...

Question