(3) The branches of tree are more Iikely
to break as we move towards the
tip of branches. Why? up

answer: Trees get thinner as they go up or out, because the branch is getting further from the trunk. The smaller branches are structurally weaker, thus increasing risks of falling out of said tree.

(happy to help)

Step-by-step explanation:

The null hypothesis was rejected.

Conclusion: The proportions of orders completed on the day of receiving is more than 95%.

Step-by-step explanation:

The hypothesis can be defined as:

H₀: The proportions of orders completed on the day of receiving is not more than 95%, i.e. p ≤ 0.95.

Hₐ: The proportions of orders completed on the day of receiving is more than 95%, i.e. p > 0.95.

The significance level of the test is α = 0.025.

The sample size is, n = 500.

As the sample size is large, the sampling distribution of sample proportion can be approximated by the Normal distribution.

The mean and standard deviation of this distribution are:

The test statistic is:

The sample proportion is:

Compute the test statistic as follows:

The decision rule is:

If the p-value is less than the significance level α then the null hypothesis is rejected.

Compute the p-value as follows:

*Use a z-table.

The p-value = 0.0202 < α = 0.025.

The null hypothesis will be rejected.

Conclusion:

As the null hypothesis was rejected at 2.5% level of significance, it can be concluded that the proportions of orders completed on the day of receiving is more than 95%.