Children develop different patterns of attachment based on interactions with their caregivers at young age (Wikipedia). Certain study attempt to find the association between Child Care and Attachment Pattern Classification. Below table summarizes the collected data. Hours in Child Care Low Moderate High Attachment Pattern (0-3 hours) (4-19 hours) (20-54 hours) Secure 24 35 5 Anxious 11 10 8 Carryout an appropriate test to see if there is an association between amount of time spend on Child Care and Attachment Pattern of the children. 6. In order to answer the same research question as in previous parts in this problem, can we do a hypothesis test for comparing two independent proportions while keeping the existing categories as they are? Explain your answer rather than simply saying "yes" or "no".

This questions has multiple subparts. For your convenience, the description of the problem is provided with each component. Children develop different patterns of attachment based on interactions with their caregivers at young age (Wikipedia). Certain study attempt to find the association between Child Care and Attachment Pattern Classification. Below table summarizes the collected data. Hours in Child Care Low Moderate High Attachment Pattern (0-3 hours) (4-19 hours) (20-54 hours) Secure 24 35 5 Anxious 11 10 8 Carryout an appropriate test to see if there is an association between amount of time spend on Child Care and Attachment Pattern of the children. 1. The null hypothesis is [Select] and the alternative hypothesis is [Select] [Select] 2. The test statistic is 3. Degrees of freedom 4. P-value is [Select] True proportion of children with secure pattern when low number of hours in child care and true proportion of children with anxious pattern when low number of hours in child Hours…

Does money buy happiness? This is an age-old question. A random sample of 1993 subjects were asked to rate their happiness (Not too happy, Pretty happy, or Very happy) and also report their level of income (Above average, average, below average). The table of the observations is presented below. Income Not too happy Pretty happy Very happy Total Above Average 26 233 164 423 Average 117 473 293 883 Below Average 172 383 132 687 Total 315 1089 589 1993 1. Which variable is the response and which is the explanatory variable? [Select] 2. What are the null and alternative hypotheses for testing if there is a relationship between level of income and happiness? [Select] and H₁ is [Select] Ho is 3. What is the chi-square test statistic? [Select] 4. Which cell contributed the most to the overall chi-square test statistic? [Select] 5. What are the degrees of freedom? [Select] 6. What is the decision about Ho? [Select]