A marriage counselor has traditionally seen that the proportion p of all married couples for whom hercommunication program can prevent divorce is 75%. After making some recent changes, the marriagecounselor now claims that her program can prevent divorce in more than 75% of married couples. In arandom sample of 225 married couples who completed her program, 185 of them stayed together. Based onthis sample, is there enough evidence to support the marriage counselor's claim at the 0.01 level ofsignificance?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list offormulas.)(a) State the null hypothesis H, and the alternative hypothesis H₁.Ho :DH₁:0(b) Determine the type of test statistic to use.(Choose one) ▼(c) Find the value of the test statistic. (Round to three or more decimalplaces.)0(d) Find the p-value. (Round to three or more decimal places.)0(e) Is there enough evidence to support the marriage counselor's claimthat the proportion of married couples for whom her program canprevent divorce is more than 75%?OYes ONOμXI0#0O0=0 OSOXSР

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 77%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than 77% of married couples. In a random sample of 250 married couples who completed her program, 194 of them stayed together. Based on this sample, is there enough evidence to support the marriage counselor's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. H₁:0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Is there enough…
A 2018 Gallup poll found 20% of adults aged 18 - 29 years vape. Test the claim that the proportion of 18 - 29 year old people who vape has decreased at the 5% significance level. A July 2021 Gallup poll resulted in 17% of the 1,007 of people that age vape.
A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 78%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than 78% of married couples. In a random sample of 240 married couples who completed her program, 189 of them stayed together. Based on this sample, is there enough evidence to support the marriage counselor’s claim at the 0.10 level of significance?Perform a one-tailed test. Then complete the parts below.
An article published in the “American Journal of Public Health” describes the results of a health survey administered to 119 male convicts, 50 years of age or older, residing in a state social rehabilitation center. It was found that 21.6% of them claimed to have a history of venereal diseases. Based on these findings, we wish to evaluate whether more than 15% of this population has a history of venereal diseases. What would be the p value that allows evaluating the research question? A. 4.32 B. 2.09 C. -1.72 D. 0.018 E. 0.957
A journalist randomly asked 108 men and 142 women if they had texted while driving anytime during the past month. Of those questioned, 51 men and 73 women admitted that they did. Does the journalist have enough evidence to indicate that there is no significant difference in the percentage of men and the percentage of women who text while driving?
The National Study of the Changing Work Force conducted a study of 2958 wage and salaried workers on issuesranging from relationships with their bosses to household chores. The data were gathered through hour-longtelephone interview with a nationally representive sample. In response to the questions “What does your job meanto you?” 1538 people responded that they “Receive personal satisfaction from success at work.” Let p be thepopulation proportion of people who receive personal satisfaction from success at work. (a) Find a 95% CI for the true value of p. (b) How large of sample is needed if we wish to be 99% confident that the sample proportion of p is within1% of the true population proportion.
A random sample of 1100 potential voters was randomly divided into 2 groups. Group 1: 500 potential voters; no registration reminders sent; 248 registered to vote Group 2: 600 potential voters; registration reminders sent; 332 registered to vote Do these data support the claim that the proportion of voters who registered was greater in the group that received reminders than in the group that did not? Use a 1% level of significance.
A company claims that less than 30% of people who both work and live in Newcastle. A study revealed that among a random sample of 200 people working in Newcastle, 62 also lived in Newcastle. Does the sample support the company’s claim? Use a level of significance of 0.01.
Last year, 41% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 32% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 55 business owners. Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to determine whether the proportion of business owners providing holiday gifts had decreased from last year. State the hypotheses.
A health psychologist investigated dietary differences between middle class Hispanic and Black women. One dietary practice examined was the consumption of mutagen-containing meats (defined as smoked, grilled, or fried meat). Based on the contingency table below, is there a reason to believe there a difference between women with respect to their consumption of mutagen-containing meat servings per day. What can be concluded with an a of 0.01? Ethnicity Мeat Hispanic Black 0-1 68 75 serving 2-3 45 19 serving 4+ 11 37 serving a) Select and compute the appropriate statistic. ---Select--- %3D b) Obtain/compute the appropriate values to make a decision about Ho. p-value ; Decision: ---Select--- c) Compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and/or select "na" below. Effect Size = ; Magnitude: ---Select-- d) Make an interpretation based on the results. O There is a significant negative relationship between middle class and food preference.…

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