Question

In: Statistics and Probability

A student pursuing a degree in English as a second language believes the proportion female factory...

A student pursuing a degree in English as a second language believes the proportion female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English. To test her claim she randomly selects 390 female factory workers and out of them 52 could not speak English. She then randomly selects 301 male factory workers and out of them 68 could not speak English. Test her claim at αα=0.05 to see if she was right. The correct hypotheses are:

  • H0:pF≤pMH0:pF≤pM
    HA:pF>pMHA:pF>pM(claim)
  • H0:pF≥pMH0:pF≥pM
    HA:pF<pMHA:pF<pM(claim)
  • H0:pF=pMH0:pF=pM
    HA:pF≠pMHA:pF≠pM(claim)

Since the level of significance is 0.10 the critical value is 1.645 and -1.645

The test statistic is: (round to 3 places)

The p-value is: (round to 3 places)

The decision can be made to:

  • reject H0H0
  • do not reject H0H0

The final conclusion is that:

  • There is enough evidence to reject the claim that the proportion female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English.
  • There is not enough evidence to reject the claim that the proportion female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English.
  • There is enough evidence to support the claim that the proportion female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English.
  • There is not enough evidence to support the claim that the proportion female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English.

Solutions

Expert Solution

Solution-

Ho: Reject the Null hypothesis.


Related Solutions

Dora Nyika is a student pursuing a Bachelor’s Degree in Business Studies (BBS) at a certain...
Dora Nyika is a student pursuing a Bachelor’s Degree in Business Studies (BBS) at a certain University in Zambia. Dora will graduate in one year’ time and has applied for a job with an international telecommunication company. As part of the company’s evaluation process, she has been asked to take an examination which covers several time value of money concepts and principles. Dora has been asked to provide answers to the following questions: (a) To draw time lines for: (i)...
What are the advantages and disadvantages of employers provinding english as second language classes to employees...
What are the advantages and disadvantages of employers provinding english as second language classes to employees with poor english skills ?
Is offering GED classes or English as a second language classes to parent a good idea?
Is offering GED classes or English as a second language classes to parent a good idea?
What percentage of your campus student body is female? Let p be the proportion of women...
What percentage of your campus student body is female? Let p be the proportion of women students on your campus. (a) If no preliminary study is made to estimate p, how large a sample is needed to be 99% sure that a point estimate p^ will be within a distance of 0.05 from p? (b) A report indicates that approximately 57% of college students are female. Answer part (a) using this estimate for p.
Development and Classroom Learning Plan Class Profile Student Name : Lolita  (1ST GRADE) English Language Learner: No  Socioeconomic...
Development and Classroom Learning Plan Class Profile Student Name : Lolita  (1ST GRADE) English Language Learner: No  Socioeconomic Status: Mid SES Ethnicity:  Native American/Pacific Islander GENDER:Female DISABILITY:Dyslexia    How can other teachers, aides, staff, and administrators could come up with a plan for a student who has dyslexia? Questions are below for the student’s plan: An overview of the behaviors, patterns, and learning needs of the student based on his or her class profile, including any associated disability or disabilities. A list of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT