TESTING HYPOTHESIS
MA320-8B: Unit 6 Assessment - Testing Hypotheses
Unit 6 Assessment - Testing Hypotheses
Krystal Wright
Professor Rasheedah Askew
2020 Fall B18 Term MA320-8B: Statistics
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MA320-8B: Unit 6 Assessment - Testing Hypotheses
First Hypothesis: Resting HR between Males and Females 95% confidence interval
1. Write the null hypotheses being tested:
a. My first hypothesis being tested is between the resting heart rates (HR) of males versus
females with a 95% confidence interval. The null hypothesis would be that male and
female resting HR before exercise is the same. I want to know if male resting HR is equal
to females before exercise for the alternative hypothesis. The test that would be used
to determine if the null hypothesis is rejected would be two-tailed, a process in which
the critical area of a distribution is two-sided and tests whether a sample is greater than
or less than a specific range of values. The null hypothesis (denoted by H0) is a
hypothesis that contains a statement of equality =. The alternative hypothesis (denoted
by Ha) is the statement that includes a statement of inequality, such as >, or <.
H0: Male Resting HR = Female Resting HR H0: u1= u2
Ha: Male Resting HR ≠ Female Resting HR Ha: u1 ≠ u2
2. Run the analysis either using data analysis and the two-sample test or by comparing the two
confidence intervals.
a.
C:\Users\Imani\Downloads\Heart Rate Data Set revised (2).xlsx
3. Interpret your data to determine if the resting male heart rate is the same as the resting
female heart rate. Remember, we are looking for whether the difference is a significant one,
not just whether they are not the same.
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MA320-8B: Unit 6 Assessment - Testing Hypotheses
a. The z score calculates a -3.67. This is a very low number, which will equal a very low p-
value. The conclusion is that these results are very unusual, with a p-value of .000 for a
two-tailed p-value. A very low p-value is significant, so in this case, I can reject the null
hypothesis and accept the alternative hypothesis that male resting does not equal
female resting HR. If the 95% confidence interval does not contain the hypothesize
parameter, then a hypothesis test at the 0.05 Significance Level will almost always reject
the null hypothesis. The P-value must be equal or higher than 0.05, not to reject the null
hypothesis.
Second Hypothesis: Resting HR between Males and Females 99% confidence interval
1. Write the null hypotheses being tested:
b. My second hypothesis being tested is between the resting heart rates (HR) of males versus
females with a 99% confidence interval. The null hypothesis would be that male and female resting HR
before exercise is the same. I want to know if male resting HR is higher than females before exercise for
the alternative hypothesis. The two-tailed test will be used to determine if the null hypothesis will be
rejected.
H0: Male Resting HR = Female Resting HR H0: u1= u2
Ha: Male Resting HR ≠ Female Resting HR Ha: u1 ≠u2
2. Run the analysis either by using data analysis and the two-sample test or by comparing the two
confidence intervals
3. Interpret your data to determine if the resting male heart rate is the same as the resting female
heart rate. Remember, we are looking for whether the difference is a significant one, not just whether
they are not the same.
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MA320-8B: Unit 6 Assessment - Testing Hypotheses
b. The z score calculates a -3.67. This is a deficient number, which will equal a very low p-value. The
conclusion is that these results are very unusual, with a p-value of .000 for a two-tailed p-value. A very
low p-value is significant, so in this case, I can reject the null hypothesis and accept the alternative
hypothesis that male resting HR is higher than female resting HR. These are very similar results displayed
with a 95% confidence interval; the only difference between the two data analyses was the z critical
scores for the one and two-tailed.
References:
Matt Macarty. (2017, January 4). How to Use T.TEST in Excel for Two-Sample Hypothesis t-tests. YouTube.
https://www.youtube.com/watch?v=HD77RI3EKt8
Stephanie Glen. (2014, October 16). The confidence interval for the mean in Excel. YouTube.
https://www.youtube.com/watch?v=yzvjz9hXvVY&feature=youtu.be
How Hypothesis Testing Works. (, 2020). Investopedia.
https://www.investopedia.com/terms/h/hypothesistesting.asp
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