16, 24, 25, 26, 24, 16, 27, 24. 16. 26. x
2 answers:
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Answer:
There is no enough evidence that the probabilities of success for the two binomial experiments differ.
Step-by-step explanation:
The null and alternative hypothesis are:
The significance level is 0.05.
The proportion of the first experiment is p_1=30/75=0.4.
The proportion of the second experiment is p_2=50/100=0.5.
The difference between proportions is
The standard deviation of the difference between the proportion is:
Then, the z-statistic is:
The p-value for this two-sided test is P(z>1.33)=0.09. This is bigger than the significance level, so the effect is not significant.
There is no enough evidence that the probabilities of success for the two binomial experiments differ.