Question

In: Statistics and Probability

Calculate the test statistic. A research company claims that no more than 55% of Americans regularly...

Calculate the test statistic. A research company claims that no more than 55% of Americans regularly watch FOX News. You decide to test this claim and ask a random sample of 425 Americans if they watch this network regularly. Of the 425 sampled, 255 respond yes. Calculate the test statistic for the hypothesis test. a) -2.07 b) 1.645 c) -1.96 d) 2.07 e) None of the above.

Solutions

Expert Solution

We have for given example,                  
Population proportion value is =0.55              
x=255              
                  
n=425              
          
Estimate for sample proportion =0.6              
                  
Z test statistic formula for proportion                  


=2.07  

d) 2.07

Related Solutions

A research center claims that more than 55% of U.S. adults think that it is essential...
A research center claims that more than 55% of U.S. adults think that it is essential that the United States continue to be a world leader in space exploration. In a random sample of 25 U.S. adults, 64% think that it is essential that the United States continue to be a world leader in space exploration. At a = 0.01, is there enough evidence to support the center’s claim? (Adapted from Pew Research Center)
A marketing manager for a cell phone company claims that more than 55% of children aged...
A marketing manager for a cell phone company claims that more than 55% of children aged 8−12 have cell phones. In a survey of 802 children aged 8−12 by the National Consumers League, 449 of them had cell phones. Can you conclude that the manager’s claim is true? Use the α = 0.01 level of significance
A researcher claims that more than 55% of adults believe it is very likely that life...
A researcher claims that more than 55% of adults believe it is very likely that life exists on other planets. In a survey of 1000 adults, 585 say it is very likely that life exists on other planets. At α = 0.05, can you support the researcher’s claim?
1.) A researcher claims that Americans use more consonants in their language than the vowels. To...
1.) A researcher claims that Americans use more consonants in their language than the vowels. To test this claim, researcher randomly selects 26 English words (please randomly generate these English words by yourself and explicitly state them in your homework as your sample). Based on this sample; a) State your hypothesis H0 and H1 claiming that Americans use more consonants in their language. b) State the decision rule, sample statistics, table value and test statistic in the same order as...
Match the research design to the correct test statistic. Each research design may be used more...
Match the research design to the correct test statistic. Each research design may be used more than once. Jack Pearson is interested in whether race of applicant (Black, Hispanic, White, Asian) and the type of college (Ivy League, HBCU, Public, or Private-Liberal Arts) impacts the amount of financial aid an applicant is awarded. Donald Trump is interested in how his Twitter activity impacts his approval ratings. He gathers a group of 1000 followers, shows them his Twitter activity on a...
A diet doctor claims Australians are, on average, overweight by more than 10kg. To test this...
A diet doctor claims Australians are, on average, overweight by more than 10kg. To test this claim, a random sample of 100 Australians were weighed, and the difference between their actual weight and their ideal weight was calculated and recorded. The data are contained in the Excel file Weights.xlsx. Use these data to test the doctor's claim at the 5% level of significance. Excess weight (Kgs) 16.0 4.0 4.0 4.5 11.0 7.0 7.0 16.5 14.5 5.5 16.5 0.5 13.5 26.0...
1. For the standardized test statistic approach to hypothesis testing, calculate the test statistic for testing...
1. For the standardized test statistic approach to hypothesis testing, calculate the test statistic for testing the null hypothesis that the population mean is less than or equal to 9.29, given a sample mean of 13.90, a sample size of 35, and a population standard deviation of 3.92. Round to two decimals. 2. Using the traditional hypothesis testing approach, calculate the critical value for testing the null hypothesis that the population mean is greater than or equal to 13, given...
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...
A hunter claims that the average deer is more than 200 pounds. To test his claim,...
A hunter claims that the average deer is more than 200 pounds. To test his claim, a random sample of 20 deer were weighed. The data are listed here. Do these data allow us to infer at the 5% significance level that the hunter’s claim is true? 160 230 180 410 220 180 230 190 220 150 180 350 160 150 170 190 230 150 160 260
Find the P-value for the indicated hypothesis test. A medical school claims that more than 28%...
Find the P-value for the indicated hypothesis test. A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school's students, 32% of them plan to go into general practice. Find the P-value for a test of the school's claim.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT