An official of a large national union claims that the representation of women in the union is at least 40% (hypothesized population proportion). A researcher believes that the union doesn't have a 40% women representation and conducts the following hypothesis test: Ho: The union has at least 40% women representation Ha: The women representation in the union is less than 40% Using p-value approach and sample information given below, carry out the above hypothesis test. Let the level of significancea for the test in the blank. 0.05. Fill in the required values Sample size (n) Women Men 400 144 256 What is the value of sample proportion? The value of test statistics is (round to two decimal place)

An official of a large national union claims that the representation of women in the union is at least 40% (hypothesized population proportion). A researcher believes that the union doesn't have a 40% women representation and conducts the following hypothesis test: Ho: The union has at least 40% women representation Ha: The women representation in the union is less than 40% Using p-value approach and sample information given below, carry out the above hypothesis test. Let the level of significancea for the test in the blank. 0.05. Fill in the required values Sample size (n) Women Men 400 144 256 What is the value of sample proportion? The value of test statistics is (round to two decimal place)

Name: An official of a large national union claims that the representation
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: An official of a large national union claims that the representation of women in theunion is at least 40% (hypothesized population proportion). A researcher believesthat the union doesn't have a 40% women representation and conducts thefollowing hyp

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 2E

See similar textbooks

Similar questions

What is meant by the sample space of an experiment?
According to the National Highway and Traffic Safety Administration, the proportion of fatal traffic accidents in the United States in which the driver had a positive blood alcohol concentration (BAC) is .36. Suppose a random sample of 105 traffic fatalities in the state of Hawaii results in 51 that involved a positive BAC. D) Check whether the conditions for hypothesis testing using the P-value approach are meet.
the food marketing insititute reports that 28% of households spend less than $100 per week on groceries . suppose a random sample of 400 households is taken . find the probablity that less than 102 households spend less than $100 per week on groceries.
An LED light bulb manufacturer claims that the average lifespan of its 60-watt LED light bulbs is 43,000 hours.A corporate watchdog group is suspicious of the company's claim and thinks that the true average lifespan of the 60-watt LED light bulbs produced by the company may be less than the advertised 43,000 hours. The group collected and tested a random sample of 240 light bulbs and found the average lifespan of the sample was 42,958 hours.Use the p-value method to test the hypothesis that the mean lifespan of this brand of 60-watt LED light bulb is less than 43,000 hours, using α=0.025α=0.025. Assume the standard deviation of the lifespan of all such light bulbs is known to be 430 hours.State the null and alternative hypothesis for this test.H0:H0: H1:H1: Determine if this test is left-tailed, right-tailed, or two-tailed. right-tailed two-tailed left-tailed Should the standard normal (zz) distribution or Student's (tt) distribution be used for this…
A medical researcher claims that 5% of children have asthma.In a random sample of 100 children 7.2% say they have asthma. At α=.05, evaluate the claim by: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim.
A manufacturer finds that in a random sample of 100 of its CD players, 96% have no defects. The manufacturer wishes to make a claim about the percentage of nondefective CD players and is prepared to exaggerate. What is the highest rate of nondefective CD players that the manufacturer could claim under the following condition? His claim would not be rejected at the 0.05 significance level if this sample data were used. Assume that a left-tailed hypothesis test would be performed.
If, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.2047 and ZSTAT=+0.82, what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision?
A large pizza chain has conducted a study to determine if the types of preferred pizza are independent of the region of the country where it is sold. One hundred random samples are selected in each region of the country with the following results. Areas Thin not Spicy Thin spicy Thick Crust not Spicy Thick Crust Spicy Total Samples Northeast 30 10 40 20 100 Northwest 25 20 45 10 100 Southwest 25 25 25 25 100 Southwest 15 30 10 45 100 Totals 95 85 120 100 400 Set up hypotheses to test if these preferred types of pizza are independent of the region of the country in which they are sold. Perform the appropriate statistical test to obtain your results. Calculate the p value and fully explain your results.
A sample poll of 500 voters from Michigan and 300 voters from Wisconsin showed that 51% and 49% is in favor of Donald Trump, respectively. At a significance level of 0.05, and using two-tailed test: a.) What should be the good hypotheses? b.) What is the t-value/z-value? c.) Is there is a difference between the two states?
In a certain state, a referendum is being held to determine whether the transportation authority should issue additional highway bonds. A sample of 550 voters is taken in county A, and 245 say that they favor the bond proposal. A sample of 600 voters is taken in county B, and 275 say that they favor the bond issue. Perform a hypothesis test to measure the strength of the evidence that the proportion of voters who favor the proposal is greater in county A than in county B. Use the α = 0.02 level of significance.
A study, which randomly surveyed 3,700 households and drew on this information from the IRS, found that 79% of households have conducted at least one IRA rollover from an employer-sponsored retirement plan. Suppose a recent random sample of 90 households in a certain county was taken and respondents were asked whether they had ever funded an IRA account with a rollover from an employer-sponsored retirement plan. Based on the sample data below, can you conclude at the 0.10 level of significance that the proportion of households in the county that have funded an IRA with a rollover is different from the proportion for all households reported in the study? 77 respondents said they had funded an account; 13 respondents said they had not