Question

According to a previous study, it is found that 50% of beetles will die in a solution of Pyrethrin (0.5mg) and Piperonyl butoxide (10mg). A researcher believes that this percentage is above 50%. He used a solution of Pyrethrin (0.5mg) and Piperonyl butoxide (10mg) and 314 beetles were used in the experiment. He found out that there were 163 deaths out of 314 beetles. Carry out a test of significance by answering the questions below in as much detail as possible. Use a 5% level of significance. What is your conclusion in the context of the problem? Question 10 options: A) There is not significant evidence to show that the proportion of deaths due to solution of Pyrethrin (0.5mg) and Piperonyl butoxide (10mg) is less than 50%. B) There is not significant evidence to show that the proportion of deaths due to solution of Pyrethrin (0.5mg) and Piperonyl butoxide (10mg) is greater than 50% C) There is significant evidence to show that the proportion of deaths due to solution of Pyrethrin (0.5mg) and Piperonyl butoxide (10mg) is greater than 50% D) There is significant evidence to show that the proportion of deaths due to solution of Pyrethrin (0.5mg) and Piperonyl butoxide (10mg) is less than 50% E) There is significant evidence to show that the proportion of deaths due to solution of Pyrethrin (0.5mg) and Piperonyl butoxide (10mg) is different from 50%

Answer 1

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Sol' Hese we are aivem that 314 beetles were used inthe eupesinet These wese t63 deathe eut o 314 beetles. Thus 163 314 And ae trave to dest the hypethess 0.52 7 h=31430, So the 7 statists will be Z O.52 0.50 314 Z: 0.7 Z fail do Aeject H. pso% we Heace, (B) there is not to shour that the probertien deats due to Solution of fyethsin(ds mg) fierenyl butoie (to ma is greates than s6X gidicat erideale