# Hypothesis Testing Review For each problem below, simply identify the null and alternative hypotheses. Use appropriate notation/symbols. You do not ha

Falak Kinney 2020-12-07 Answered
Hypothesis Testing Review
For each problem below, simply identify the null and alternative hypotheses. Use appropriate notation/symbols. You do not have to run any hypothesis tests, although it's good practice and I'll post answers for all of them.
1) A simple random sample of 44 men from a normally distributed population results in a standard deviation of 10.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.
2) In 1997, a survey of 880 households showed that 145 of them use e-mail. Use those sample results to test the claim that more than 15% of households use e-mail. Use a 0.05 significance level.

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

### Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

funblogC
Step 1
1)
From the provided information,
The population standard deviation $$(\sigma) = 10$$
The claim is that pulse rates of men have a standard deviation equal to 10 beats per minute.
The hypotheses can be constructed as:
$$H_{0}: \sigma = 10$$
$$H_{1}: \sigma \neq 10$$
Step 2
2)
From the provided information,
The claim is that more than 15% of households use e-mail.
The hypotheses for this test can be constructed as:
$$H_{0}: p = 0.15$$
$$H_{1}: p > 0.15$$