Question

In: Math

Assuming that the sample is representative of the population of all visitors to the website, is...

Assuming that the sample is representative of the population of all visitors to the website, is there evidence in the data at the 0.10 level of significance to conclude that the proportion of customers who use Chrome as their browser is less than 34%? Use hypothesis testing to answer your question. Put your hypotheses in the Answer. Put your p-value, rounded to at least 4 decimal places. In the Answer, state whether you reject or don’t reject the null hypothesis. state what you conclude about the proportion of customers who use Chrome as their browser.

Browser

Other

Chrome

Other

Chrome

Firefox

Chrome

Firefox

Chrome

Other

Firefox

Other

Firefox

Other

Chrome

Other

Firefox

Other

Firefox

Chrome

Firefox

Chrome

Firefox

Chrome

Firefox

Chrome

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Chrome

Solutions

Expert Solution

Solution: The null and the alternative hypotheses are given below:

Under null hypothesis, the test statistic is:

Where:

is the proportion of visitors who use chrome in the sample and is:

Therefore, we have:

rounded to two decimal places

Therefore, the test statistic

Now we need to find the P-value.

Using the standard normal table, we have:

Since the P-value is greater than the significance level 0.10, we therefore, fail to reject the null hypothesis.

Conclusion: Fail to reject H₀. There is not sufficient evidence to support the claim that the proportion of customers who use Chrome as their browser is less than 34%.

milcah answered 9 months ago

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