The percentage of seeds that germinate under ideal
Last updated: 4/25/2023
The percentage of seeds that germinate under ideal conditions is known as the germination rate of a seed For instance if 100 soybean seeds are planted and 88 germinate then the germination rate for the soybean is 88 A seed distribution company claims that its soybean seeds have a germination rate of at least 84 However many farmers have reported much lower germination rates Therefore many farmers believe that the germination rate advertised by the seed company is likely lower than advertised To determine if the true germination rate is lower than the rate advertised by the company an agronomist planted 505 soybean seeds under ideal lab conditions and observed 397 of the seeds germinated Use the p value method to dertermine if the sample data support the farmers belief that the true germination rate of this company s soybean seeds is less than 84 Use a significance level of 0 5 State the null and alternative hypothesis for this test Ho H Determine if this test is left tailed right tailed or two tailed Oright tailed Otwo tailed left tailed Should the standard normal z distribution or Student s t distribution be used for this test The standard normal 2 distribution should be used The Student s t distribution should be used Determine the test statistic for the hypothesis test Round the solution to two decimal places Determine the p value for the hypothesis test Round the solution to four decimal places Determine the appropriate conclusion for this hypothesis test The sample data provide sufficient evidence to reject the seed company s claim that the germination rate of their soybean seed is 84 null hypothesis and thus we conclude that the true germination rate is likely less than 84 The sample data provide sufficient evidence to reject farmers belief that the germination rate of the soybean seed is less than 84 and thus we conclude that the true germination rate is likely 84 The sample data do not provide sufficient evidence to reject farmers belief that the germination rate of the soybean seed is less than 84 and thus we conclude that the true germination rate is libbel