🎁BACK-TO-SCHOOL DEAL. Subscribe Now to get 40% OFF at only 8.49 USD/month, only valid until Sep 30th, 2024

Question

Question
In a recent conversation with Mrs. Cornelius, Mr. Wilcox claimed that the weather in Michigan was much cloudier than the weather in Mississippi. To investigate Mr. Wilcox took a random sample of 30 days from the past year and recorded whether or not it was cloudy in Michigan. Mrs. Cornelius took a separate random sample of 30 days from the past year and recorded whether or not it was cloudy in Mississippi. Which inference procedure is most appropriate to assess Mr. Wilcox's claim? If... A one-sample z-test for a proportion, then go to... 14.45 . If... A two-sample z-test for a difference in proportions, then go to.... 20. If... A t-test for slope, then go to... 10. If... A two-sample t-test, then go to... 0.025 . If... A matched pairs t-test, then go to... 2.403.

Asked By at

Answered By Expert

Expert · 4.8k answers · 4k people helped

Sign in to see the answer

Answer

B

Explanation

The question is asking which statistical procedure is appropriate to assess Mr. Wilcox's claim that the weather in Michigan is much cloudier than the weather in Mississippi. Mr. Wilcox and Mrs. Cornelius both took random samples of 30 days and recorded whether or not it was cloudy in their respective states. Given the information provided, we are comparing the proportions of cloudy days between two independent samples (Michigan and Mississippi). Therefore, the appropriate inference procedure is a two-sample z-test for a difference in proportions. This test is used to determine if there is a significant difference between the proportions of two independent samples.The other options provided are not appropriate for this scenario:- A one-sample z-test for a proportion is used when comparing a sample proportion to a known population proportion.- A t-test for slope is used when examining the relationship between two continuous variables.- A two-sample t-test is used when comparing the means of two independent samples.- A matched pairs t-test is used when comparing the means of two related samples.Therefore, the correct answer is "A two-sample z-test for a difference in proportions, then go to .... 20."