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A new virus has taken root in a country Government officials are reporting that 7 3 of the population is currently infected with the virus However epidemiologists across the country claim to be observing a much higher infection rate It was found that 109 people out of a randomly selected sample of 1480 people from around the country were infected with the virus Use the critical value method to determine if the sample data support the epidemiologists supposition that the true rate of infection in the country is higher than 7 3 Use a significance level of 1 State the null and alternative hypothesis for this test Ho H Determine if this test is left tailed right tailed or two tailed left tailed Otwo tailed Oright tailed Should the standard normal z distribution or Student s t distribution be used for this test The Student s t distribution should be used The standard normal z distribution should be used Determine the critical value s for this hypothesis test Round the solution s to two decimal places If more than one critical value exists enter the solutions using a comma separated list B Determine the test statistic Round the solution to two decimal places Determine the appropriate conclusion for this hypothesis test The sample data provide sufficient evidence to reject the government s claim null hypothesis that the infection rate of the virus is 7 3 and thus we conclude that the infection rate of the virus is likely greater than 7 3 The sample data do not provide sufficient evidence to reject the government s claim null hypothesis that the infection rate of the virus is 7 3 and thus we conclude that the infection rate of the virus is likely 7 3 The sample data provide sufficient evidence to reject the epidemiologists claim alternative hypothesis that the infection rate is higher than 7 3 and thus we concluded that the infection rate of the virus is likely 7 3 The sample data do not provide sufficient evidence to reject the epidemiologists claim alternative hypothesis that the infection rate is higher than 7 3 and thus we concluded that the infection rate of the virus is likely greater than 7 3

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