#33). This is 1 question. Need help with critical value and test statistic. A new virus has taken root in a country. Government officials are reporting that 15% of the population iscurrently infected with the virus. However, epidemiologists across the country claim to be observing amuch higher infection rate.It was found that 157 people out of a randomly selected sample of 1040 people from around the countrywere infected with the virus.Use the critical value method to determine if the sample data support the epidemiologists' supposition thatthe true rate of infection in the country is higher than 15%. Use a significance level of 5%.State the null and alternative hypothesis for this test.Ho: ? VH₁: ? ✓Determine if this test is left-tailed, right-tailed, or two-tailed.Oright-tailedO two-tailedOleft-tailedShould the standard normal (2) distribution or Student's (t) distribution be used for this test?The standard normal (2) distribution should be usedO The Student's t distribution should be usedDetermine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. Ifmore than one critical value exists, enter the solutions using a comma-separated list.Determine the test statistic. Round the solution to two decimal places. Determine if this test is left-tailed, right-tailed, or two-tailed.right-tailedOtwo-tailedleft-tailedShould the standard normal (2) distribution or Student's (t) distribution be used for this test?The standard normal (2) distribution should be usedThe Student's t distribution should be usedDetermine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. Ifmore than one critical value exists, enter the solutions using a comma-separated list.Determine the test statistic. Round the solution to two decimal places.Determine the appropriate conclusion for this hypothesis test.O The sample data do not provide sufficient evidence to reject the government's claim (nullhypothesis) that the infection rate of the virus is 15% and thus we conclude that the infection rate ofthe virus is likely 15%.O The sample data provide sufficient evidence to reject the epidemiologists' claim (alternativehypothesis) that the infection rate is higher than 15% and thus we concluded that the infection rateof the virus is likely 15%.O The sample data do not provide sufficient evidence to reject the epidemiologists' claim (alternativehypothesis) that the infection rate is higher than 15% and thus we concluded that the infection rateof the virus is likely greater than 15%.O The sample data provide sufficient evidence to reject the government's claim (null hypothesis) thatthe infection rate of the virus is 15% and thus we conclude that the infection rate of the virus islikely greater than 15%.

Question

Accepted Answer

Given data

number of success , x= 157

sample size, n =1040

population…