Purchase Solution

# Hypothesis Testing: Internet Usage for a Company

Not what you're looking for?

1. Choose two test statistics and describe how they are used.

2. Using the author's data set, perform the following two hypothesis tests on statements from the author.

Perform a hypothesis test to examine this statement by the author: "The average internet usage for a country in 2017 is 60%."
● Write a null hypothesis and alternate hypothesis.
● Interpret type 1 and type 2 errors for the null hypothesis.
● Using alpha = .05, and a t distribution, graph the rejection region.
● Conclude whether to reject or not to reject the null hypothesis.
● Does your statistical analysis support the author's statement?

Perform a hypothesis test to examine this statement by the author: "Surprisingly internet usage is not as high as most think—only 50% of countries had widespread internet usage in 2017 (widespread internet usage is defined as 75% or more of a population using the internet)."
● Write a null hypothesis and alternate hypothesis.
● Interpret any type 1 and type 2 errors for the null hypothesis.
● Using alpha = .01, and a normal distribution, graph the rejection region.
● Conclude whether to reject or not to reject the null hypothesis.
● Does your statistical analysis support the author's statement?

##### Solution Summary

Step-by-steps explanations are given in the Word file. All formulas used are shown. The Excel file contains further details of formulas and calculations.

##### Solution Preview

1. Choose two test statistics and describe how they are used.

The following are 2 tests statistics:

A z test statistic is used in hypothesis testing when the population standard deviation is known and the sample size is large (n > 30). In hypothesis testing, the null and alternative hypotheses are first stated. Then the data are used to calculate the z test statistic. The z test statistic is then used to find the p-value which is in turn compared to the significance level.
In a hypothesis test where the population mean is tested against a value, the z test statistic is calculated in the following manner:
(see the attachment for the full visual solution)
where

A t test statistic is used in hypothesis testing when the population standard deviation is unknown and the sample size is small (n≤30). In hypothesis testing, the null and alternative hypotheses are first stated. Then the data are used to calculate the t test statistic. The t test statistic is then used to find the p-value which is in turn compared to the significance level.

where

s = sample standard deviation
n = ...

Solution provided by:
###### Education
• MSc, California State Polytechnic University, Pomona
• MBA, University of California, Riverside
• BSc, California State Polytechnic University, Pomona
• BSc, California State Polytechnic University, Pomona
###### Recent Feedback
• "Excellent work. Well explained."
• "Can you kindly take a look at 647530 and 647531. Thanks"
• "Thank you so very much. This is very well done and presented. I certainly appreciate your hard work. I am a novice at statistics and it is nice to know there are those out there who really do understand. Thanks again for an excellent posting. SPJ"
• "GREAT JOB!!!"
• "Hello, thank you for your answer for my probability question. However, I think you interpreted the second and third question differently than was meant, as the assumption still stands that a person still independently ranks the n options first. The probability I am after is the probability that this independently determined ranking then is equal to one of the p fixed rankings. Similarly for the third question, where the x people choose their ranking independently, and then I want the probability that for x people this is equal to one particular ranking. I was wondering if you could help me with this. "

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.