Question

Kylie works for a large nursery and is investigating whether to use a new brand of seeds. The new brand of seeds advertises that 93% of the seeds germinate, which is higher than the germination rate of the seeds she is currently using. She will change over to this new brand unless the actual germination rate is less than what is advertised. Kylie conducts an experiment by randomly selecting 76 seeds of the new brand and plants them. She finds that 70 of those seeds germinated. What are the null and alternative hypotheses for this hypothesis test? Select the correct answer below: {H0: p=0.93H a:p>0.93 {H0: p=0.93H a:p<0.93 {H0: p≠0.93H a:p=0.93 {H0: p=0.93H a:p≠0.93

Answer 1

Answer: $H_0: p=0.93\\\\ H_a : p>0.93$

Step-by-step explanation:

Let p be the population proportion.

Given statement : The new brand of seeds advertises that 93% of the seeds germinate, which is higher than the germination rate of the seeds she is currently using.

Since null hypothesis shows that there is no significant difference between the quantities where as alternative hypothesis believes that there is some  difference,

Then, the null and alternative hypotheses for this hypothesis test will be :-

$H_0: p=0.93\\\\ H_a : p>0.93$