Question

In: Statistics and Probability

A humane society claims that less than 65​% of households in a certain country own a...

A humane society claims that less than 65​% of households in a certain country own a pet. In a random sample of 600 households in that​ country, 378 say they own a pet. At alphaequals0.05​, is there enough evidence to support the​ society's claim? Complete parts​ (a) through​ (c) below. ​(a) Identify the claim and state Upper H 0 and Upper H Subscript a. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. ​(Type an integer or a decimal. Do not​ round.) A. Less than nothing​% of households in the country own a pet. B. nothing​% of households in the country own a pet. C. The percentage households in the country that own a pet is not nothing​%. D. More than nothing​% of households in the country own a pet. Let p be the population proportion of​ successes, where a success is a household in the country that owns a pet. State Upper H 0 and Upper H Subscript a. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Round to two decimal places as​ needed.) A. Upper H 0​: pnot equals nothing Upper H Subscript a​: pequals nothing B. Upper H 0​: pgreater than or equals nothing Upper H Subscript a​: pless than nothing C. Upper H 0​: pless than or equals nothing Upper H Subscript a​: pgreater than nothing D. Upper H 0​: pequals nothing Upper H Subscript a​: pnot equals nothing E. Upper H 0​: pgreater than nothing Upper H Subscript a​: pless than or equals nothing F. Upper H 0​: pless than nothing Upper H Subscript a​: pgreater than or equals nothing ​(b) Use technology to find the​ P-value. Identify the standardized test statistic. zequals nothing ​(Round to two decimal places as​ needed.) Identify the​ P-value. Pequals nothing ​(Round to three decimal places as​ needed.) ​(c) Decide whether to reject or fail to reject the null hypothesis and​ (d) interpret the decision in the context of the original claim. ▼ Reject Fail to reject the null hypothesis. There ▼ is is not enough evidence to ▼ support reject the​ society's claim.

Solutions

Expert Solution


Related Solutions

A humane society claims that 5% of U.S. households have taken in a stray dog. In...
A humane society claims that 5% of U.S. households have taken in a stray dog. In a random sample of 200 U.S. households, 12 say they have taken in a stray dog. At α = 0.05, is there enough evidence to reject the society’s claim?
A certain brand of cereal claims that the mean sodium content per serving is less than...
A certain brand of cereal claims that the mean sodium content per serving is less than 235 mg and past research suggests that the standard deviation is 10 mg. You find that a sample of 53 cereal servings has a mean sodium content of 233 mg. Using a 0.10 significance​ level, what can you conclude about the​ brand’s claim? 1) What type of hypothesis test is​ this? ​2) State the hypotheses. 3) Calculate the value of the Test Statistic. 4)...
A certain academic program claims that their students graduate in less than 4 years on average....
A certain academic program claims that their students graduate in less than 4 years on average. A random sample of 50 students is taken and the mean and standard deviation are found. The test statistic is calculated to be -1.69. Using a 5% significance level, the conclusion would be: a) there is sufficient sample evidence for the program’s claim to be considered correct. b) there is insufficient sample evidence for the program’s claim to be considered correct. c) there is...
A research center claims that more than 32​% of employees in a certain country have changed...
A research center claims that more than 32​% of employees in a certain country have changed jobs in the past four years. In a random sample of 340 people from that​ country, 119 have changed jobs in the past four years. At alpha equals 0.01​, is there enough evidence to support the​ center's claim? Complete parts​ (a) through​ (e) below. a) Identify the claim and state Upper H 0 and Upper H Subscript a. ​(b) Find the critical​ value(s) and...
1. A telephone company claims that less than 15% of all college students have their own...
1. A telephone company claims that less than 15% of all college students have their own cell phone plan. A random sample of 70 students revealed that 8 of them had their own plan. Test the company's claim at the 0.05 level of significance. 2. A college statistics instructor claims that the mean age of college statistics students at a local Dallas-based institution is 23. A random sample of 35 college statistics students revealed a mean age of 25.1. The...
PROMPT:  The article indicates that in the year 2016 the number of households earning less than the...
PROMPT:  The article indicates that in the year 2016 the number of households earning less than the Federal Poverty Line ($24, 300 for a family of four or $11,880 for a single adult) represented 10.5% of the population of New Jersey, but that the number of households earning more than the Federal Poverty Line but not enough to afford basic necessities ($74,748 for a family of four or $26,640 for a single adult) represented 28.0% of the population of New Jersey....
A research center claims that at least32% of adults in a certain country think that their...
A research center claims that at least32% of adults in a certain country think that their taxes will be audited. In a random sample of 800 adults in that country in a recent​ year,29​%say they are concerned that their taxes will be audited. At alphaαequals=0.01,is there enough evidence to reject the​ center's claim?
The American Pet Products Association (APPA) claims that at least 67% of households own at least...
The American Pet Products Association (APPA) claims that at least 67% of households own at least one pet. A survey of 102 households show that 63 own at least one pet. At a level of significance of 0.05, does this support the APPA’s claim? What are the hypotheses for this test? What tailed test is this hypothesis test? What is the value of the standardized test statistic associated with these hypotheses? Round your answer to 2 decimal places. What is...
You wish to test the claim that fewer than 33% of households in a certain city...
You wish to test the claim that fewer than 33% of households in a certain city own pets. [3 points] Give the null and alternate hypotheses. [2 points] Is the test right-tailed, left-tailed or two-tailed? The P-value was found to be 0.0673, Choose using a significance level of 5%: Reject the null hypothesis or Fail to reject the null hypothesis Give the conclusion about the claim in an English sentence in the context of the scenario. A person wants to...
An airline claims that the no-show rate for passengers is less than 5%. In a sample...
An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, the rate of no-show is 4.5%. Set up the null and alternative hypothesis to test this claim. Describe what type 1 error and type 2 error are in this case. Find the test statistic and make a decision at 5% level of significance.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT