Two Sample Hypothesis Test for Two Proportions with StatCrunch

TL;DR

Conducted hypothesis test on left-handedness rates between males and females, concluding insufficient evidence for a difference.

Transcript

in this problem we have a hypothesis test and it looks like it's for two proportions and it's talking about males and females so let's go ahead and write that down so he looks like we have males and then females and if you kind of like glance at the question and look at the last sentence it says use a point oh five significance level that's our alp... Read More

Key Insights

• 🕵️‍♀️ Hypothesis test conducted for left-handedness rates in males and females.
• ☠️ Significance level of 0.05 used to test the claim of differences in left-handedness rates.
• 🥺 Test statistic calculated as -1.13 with a p-value of 0.129, leading to the failure to reject the null hypothesis.

Questions & Answers

Q: What were the null and alternative hypotheses in the hypothesis test?

The null hypothesis was that the rate of left-handedness among males is equal to that among females, while the alternative hypothesis was that the rate of left-handedness among males is less than that among females.

Q: How was the test statistic calculated in the hypothesis test?

The test statistic was calculated as -1.13 using the two sample proportion test in StatCrunch, indicating how much the observed proportions deviated from the expected under the null hypothesis.

Q: What was the interpretation of the p-value in relation to the level of significance?

The p-value of 0.129 was greater than the significance level of 0.05, leading to the decision to fail to reject the null hypothesis due to insufficient evidence to support the claim.

Q: Why was the confidence interval important in the analysis?

The confidence interval helped verify the results of the hypothesis test by showing that the difference in left-handedness rates between males and females could potentially be zero, indicating no significant difference.

Summary & Key Takeaways

• Two proportion hypothesis test for left-handedness rates in males and females.

• Calculated total number of males and females and conducted hypothesis test using significance level.

• Failed to reject null hypothesis, indicating no significant difference in left-handedness rates between males and females.