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
Chrome
Chrome
Chrome
Chrome
Chrome
Chrome
Other
Chrome
Firefox
Chrome
Chrome
Chrome
Firefox
Chrome
Other
Firefox
Other
Firefox
Other
Chrome
Other
Firefox
Firefox
Firefox
Other
Other
Other
Firefox
Firefox
Chrome
Chrome
Chrome
Chrome
Firefox
Firefox
Chrome
Firefox
Chrome
Firefox
Chrome
Chrome
Chrome
Other
Chrome
Chrome
Chrome
Chrome
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%.


Related Solutions

A sample that reflects the population accurately is called a Sampling Frame Population Representative Sample Sample...
A sample that reflects the population accurately is called a Sampling Frame Population Representative Sample Sample Bias If generalization to population is needed, which sampling method should be used? Random Sampling Quota Sampling Convenience Sampling Purposive Sampling involves assigning numbers to answers so that they can be grouped into categories Sampling Recording Coding Editing
A website is trying to increase registration for first-time visitors, exposing 1% of these visitors to...
A website is trying to increase registration for first-time visitors, exposing 1% of these visitors to a new site design. Of 752 randomly sampled visitors over a month who saw the new design, 64 registered. (a) Check any conditions required for constructing a confidence interval. (b) Compute the standard error. (c) Construct and interpret a 90% confidence interval for the fraction of first-time visitors of the site who would register under the new design (assuming stable behaviors by new visitors...
Describe the difference between a "population" and a "sample." What is a "representative sample" 1 What...
Describe the difference between a "population" and a "sample." What is a "representative sample" 1 What is the best way to achieve representativeness in a sample?
Assume that the number of new visitors to a website in one hour is distributed as...
Assume that the number of new visitors to a website in one hour is distributed as a Poisson random variable. The mean number of new visitors to the website is 2.3 per hour. Complete parts​ (a) through​ (d) below. a. What is the probability that in any given hour zero new visitors will arrive at the​ website? The probability that zero new visitors will arrive is__ b. What is the probability that in any given hour exactly one new visitor...
Assume that the number of new visitors to a website in one hour is distributed as...
Assume that the number of new visitors to a website in one hour is distributed as a Poisson variable with λ = 4.0. What is the probability in any given hour that two or more new visitors will arrive at the website? Round to four decimals and use leading zeros if necessary.
Assuming the sample represents the population very well, that is, the population has approximately the same...
Assuming the sample represents the population very well, that is, the population has approximately the same mean and same standard deviation. a) 68% of the population fall between ___ inches and ___ inches b) 95% of the population fall between ___ inches and ___ inches c) 99.7% of the population fall between ___ inches and ___ inches Height of 5 yr old Females 44.5 45.4 39.6 45.5 42 44.5 39.5 42.3 44 37.7 42.4 43 44.7 43.3 42.2 37.6 43.6...
Given the following income data from a representative sample of a population in a certain year,...
Given the following income data from a representative sample of a population in a certain year, what is its Gini index? Person Income Person Income Person Income 1 30 6 400 11 1700 2 70 7 550 12 2000 3 140 8 1100 13 3000 4 210 9 1200 14 5000 5 300 10 1450 15 8000 A. 0.34 B. 0.44 C. 0.57 D. 0.60 E. 0.76
Assuming the sample size is 30, the sample mean (X) is 24.75, the population standard deviation...
Assuming the sample size is 30, the sample mean (X) is 24.75, the population standard deviation (σ) is 5, a 95% confidence interval for the population mean would have lower bound of _________________ and upper bound of _______________________.
A news website believes that equal to 52% of its visitors click on advertisements while on...
A news website believes that equal to 52% of its visitors click on advertisements while on the site. A sample of size 39 visitors is taken and it is observed that 16 of them clicked on ads. Perform a hypothesis test to test the null hypothesis that equal to 52% of website visitors click ads against the alternative hypothesis, H1, that something other than 52% click on ads, with level of significance α = 0.1. a) What type of test...
An internal auditor wants to select a statistically representative sample from a population of 475 inventory...
An internal auditor wants to select a statistically representative sample from a population of 475 inventory control sheets. Each sheet lists the description, physical count, bar code, and unit cost. Each sheet contains 50 inventory items. The auditor uses a random number table to construct the sample; the first two columns are listed below. The randomly chosen starting point is 14326; the sample's first item is found on page 143, line 26. (The route used by the auditor is down...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT