Answer:
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Step-by-step explanation:
The significant evidence to conclude that bees do not distinguish between flowers with spiders and flowers without spiders at a 5% level of significance.
It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The crab spider, Thomisus spectabilis, sits on flowers and preys upon visiting honeybees. To test this, Heiling et al. (2003) gave 33 bees a choice between two flowers, one of which had a crab spider and the other of which did not. In 24 of the 33 trials, the bees picked the flower that had the spider.
[tex]\rm H_o : p =0.5[/tex] (The bees correctly identifies the flower with spider)
Versus
[tex]\rm H_o : p \neq 0.5[/tex] (The bees Wrongly identifies the flower with spider)
From the observation of 33 trials, the simple proportion is given as
[tex]\rm \hat{p} = \dfrac{24}{33} = 0.7273[/tex]
Under the null hypothesis, the test statistics are defined as
[tex]\rm z = \dfrac{\hat{p} - p}{SE\hat^{p}}[/tex]
[tex]\rm z = \dfrac{\hat{p} - 0.5}{\sqrt{\frac{p(1-p)}{n}}}\\\\\\z = \dfrac{0.7273 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{33}}}\\\\\\z = 2.61[/tex]
The p-value of the test statistics for a two-tailed test is defined as
p-value [tex]\rm = P(|z| > 2.61) = 2*P(z \leq -2.61) = 0.0090[/tex]
As the p-value is less than α = 0.05 level of significance, we reject the null hypothesis.
Therefore, we have significant evidence to conclude that bees do not distinguish between flowers with spiders and flowers without spiders at a 5% level of significance.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
