Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .005 significance level. The null and alternative hypothesis would be: H0:μM=μFH0:μM=μF H1:μM>μFH1:μM>μF   H0:pM=pFH0:pM=pF H1:pMpFH1:pM>pF   H0:pM=pFH0:pM=pF H1:pM≠pFH1:pM≠pF The test is: left-tailed two-tailed right-tailed Based on a sample of 20 men, 30% owned cats Based on a sample of 60 women, 50% owned cats The test statistic is:  (to 2 decimals) The critical value is:  (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

Question

Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .005 significance level.

The null and alternative hypothesis would be:

H0:μM=μFH0:μM=μF
H1:μM>μFH1:μM>μF
 
H0:pM=pFH0:pM=pF
H1:pM<pFH1:pM<pF
 
H0:μM=μFH0:μM=μF
H1:μM≠μFH1:μM≠μF
 
H0:μM=μFH0:μM=μF
H1:μM<μFH1:μM<μF
 
H0:pM=pFH0:pM=pF
H1:pM>pFH1:pM>pF
 
H0:pM=pFH0:pM=pF
H1:pM≠pFH1:pM≠pF



The test is:

left-tailed
two-tailed
right-tailed



Based on a sample of 20 men, 30% owned cats
Based on a sample of 60 women, 50% owned cats

The test statistic is:  (to 2 decimals)

The critical value is:  (to 2 decimals)

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Statistics students in Oxnard College sampled 9 textbooks in the Condor bookstore, and recorded numb...

A: Click to see the answer

Q: Please give a detailed explanation, not just the answer. Thanks in advance! A new fertilizer was app...

A: Click to see the answer

Q: Zane is examining two studies involving how different generations classify specified items as either...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: The average time taken for your Internet service provider to remotely resolve a trouble ticket has a...

A: Click to see the answer

Q: The typical college freshman spends an average of ?=150 minutes per day, with a standard deviation o...

A: Solution: Let X be the time on social media. From the given information, X follows normal distributi...

Q: The duration (in days) of human pregnancies follows approximately the ?(266,16)distribution. What pr...

A: From the given information,  Consider, X the duration (in days) of human pregnancies follows approxi...

Q: The average starting salary for this year's graduates at a large university (LU) is $20,000 with a s...

A: Click to see the answer

Q: Suppose that scores of the entrance exam of MPI are normally distributed with mean 500 and standard ...

A: Obtain the standard z-score for the average score of that class will be no more than 535. The standa...

Q: 8) A sample of 30 commuters in the New York City area yielded the following commute times in minutes...

A: 1) a. From the given information,  

Q: if np &gt; or equal 5 and nq &gt; or equal 5, estimate P (at least 9) with n= 13 and P=0.5 by using ...

A: Click to see the answer

Q: The time required for housekeeping to clean a hotel room for the next customer varies between 25 and...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: At a particular hospital, records show that each day, on average, only 80% of people keep their appo...

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is the nu...

Q: 40 73 152 297 320 536 574 617 650 702 781 844 860 961 Identify the 5 number summary (min, Q1, med...

A: Click to see the answer

Q: You wish to test the following claim (HaHa) at a significance level of α=0.02 For the context of thi...

A: State the hypotheses. That is, there is no evidence to conclude that the mean difference of post-te...

Q: A researcher for the National Highway Traffic Safety Administration wishes to estimate the average b...

A: Click to see the answer

Q: I’ll bet you didn’t know this, but plain (and peanut) M&amp;M's are now produced at two different fa...

A: According to the provided data, two different factories are mentioned here and they do not use the s...

Q: Using these data below, what is the t statistic for a single-sample t test (null hypothesis is that ...

A: Solution: Let Y be the random variable. Then, the sample mean is  

Q: Explain why the null hypothesis should not be accepted when the effect is not significant?

A: Click to see the answer

Q: given the following hypothesis Hsep zero:miue equal 400 and Hsep one nit equal 400  arandom sample o...

A: Here, the level of significance, α = .05. H0: µ =400 (That is, the true mean is 400.) H1: µ≠ 400 (th...

Q: (A) In this problem, we explore the effect on the standard deviation of multiplying each data value ...

A: Given information- We have given a data set 11, 15, 9, 12, 8 Now, we have to calculate standard devi...

Q: The director of research and development is testing a new drug. She wants to know if there is eviden...

A: Click to see the answer

Q: A regression was run to determine if there is a relationship between hours of TV watched per day (xx...

A: Click to see the answer

Q: I’ll bet you didn’t know this, but plain (and peanut) M&amp;M's are now produced at two different fa...

A: From the provided information, There are many category of color and the observed proportion are give...

Q: Give the conclusion for the following: Test the claim that the proportion of people that own lawn mo...

A: Click to see the answer

Q: 6) A random sample of 20 ages of world leaders yielded the following data:             54        66 ...

A: Solution: 6. a. Let X be the age. Then, From the given information, the population standard deviati...

Q: It is easier to reject the null hypothesis if the researcher uses a smaller alpha (α) level. choose ...

A: We know that, Type I error is – In this we reject the null hypothesis which is actually true called ...

Q: 9) Provided below is the obtained value for the test statistic for a one-mean z-test.  Determine the...

A: a) According to the provided information. Z score is -2.04, it is two tailed test and significance l...

Q: A researchers is interested in the amount of sleep an individual receives after consuming a sleeping...

A: a) The hypotheses for this test can be constructed as: H0: µ1 = µ2 = µ3 Ha : at least two of the mea...

Q: Assume that a sample is used to estimate a population proportion p. Find the 95% confidence interval...

A: Click to see the answer

Q: If np &gt; or equal 5 and nq &gt;equal 5, estimate P (fewer than 5) with n= 14 and P=0.5 by using th...

A: Click to see the answer

Q: To test the effectiveness of a new drug designed to relieve pain, 200 patients were randomly selecte...

A: Let p1 be the proportion of taking the drug felt a beneficial effect people and p2 be the proportion...

Q: Explain which of the following eliminates confounding? Unweighted means Weighted means Correction fo...

A: A Confounded is a variable whose presence affects the variables being studied so that the results do...

Q: The heights (in inches) of 20 randomly selected adult males are listed below. Test the claim that th...

A: It is given that the sample size is 20 and the claim is the variance is less than 6.25.

Q: Research examining the effects of preschool childcare has found that children who spent time in day ...

A: Click to see the answer

Q: If the slope of the relationship between X and Y is larger for Population 1 than for Population 2, t...

A: Given: The statement is, If the slope of the relationship between X and Y is larger for Population 1...

Q: Proportions On April 15th, 1912, the R.M.S. Titanic sank into the North Atlantic Ocean, resulting i...

A: Click to see the answer

Q: A significance test is performed and p = .20. Why can't the experimenter claim that the probability ...

A:   Given information- p = 0.20 We have to explain why can't the experimenter claim that the probabili...

Q: A worker is reviewing his pay increases over the past several years. The table below shows the hourl...

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

Q: Explain R2 in terms of proportion explained?

A: The term R2 is the coefficient of determination which is the squared term of correlation coefficient...

Q: Workers in several industries were surveyed to determine the proportion of workers who feel their in...

A: It is given that:

Q: You may need to use the appropriate appendix table or technology to answer this question. Consider t...

A: Hey, there! Since there are more than three sub-parts posted, we will answer first three sub-parts f...