Hypothesis Testing from Two Samples

scenario

Nightingale Shoes has hired you to run consulting work for their company. They need to understand the demographic and gender that is purchasing their shoes to determine how they should advertise. They also need you to compare their shoe sales during two different years.

e spreadsheet below contains three hypothesis tests to run.

Pooled Sample Proportion q-bar Test Statistic 1c. Calculate the critical value and make a decision about the null hypothesis. Explain your calculations, include your results, anar explain how you arrived at your decision. Critical Value 0 ................................................................................................................................................................................................................................................................................................................................................................................ 1d. Calculate the p-value and make a decision about the null hypothesis. Explain your calculations, include your results, anar explain how you arrived at your decision. \f1. Population Proportions Nightingale Shoes is trying to determine the demographic who is purchasing their shoes. After surveying customers who e store, they find that 205 out of 369 adults between the age of 20 to 29 were purchasing their shoes. They also discovered 213 adults aged 30 to 39 were purchasing their shoes. Test the claim that younger adults (aged 20 to 29) purchase more N shoes than older adults [aged 30 to 39]. Assume a 0.01 signicance. Adults aged 2|] to 29 Adults aged 30 to 39 Iii1 12 I n1 "2 ii} iii; 1a. Write the hypotheses in symbolic form, determine if the test is right-tailed, left-tailed, or two tailed and explain why. 1b. Calculate the pooled sample proportion and the test statistic. Explain your calculations and include your results