## Math HW代写

Math HW代写 All questions must be solved by hand (including charts/figures). Calculate the standard error of the difference in the two sample proportions

### Assignment #3 Math HW代写

Notes:

• All questions must be solved by hand (including charts/figures). Show your work for full credit.
• A hardcopy is due at the START of class. Indicate name, student ID and course number.
• Assignments have to be done independently.
• Late assignments will not be accepted.

#### 1. Math HW代写

Apple is concerned that their market shares among women is different than that among men. Independent random samples of n₁=150(men) and n₂=150 (women) were randomly selected from binomial populations 1 and 2 of cell phone purchasers in 2018, respectively. Sample 1 had 80 iPhones purchased, and sample 2 had 88 iPhones purchased.

##### 1a.

Suppose you wish to detect a difference between the two parameters if one exists. What should you choose as the null and alternative hypotheses for a statistical test?(1 point)

##### 1b. Math HW代写

Calculate the standard error of the difference in the two sample

proportions

(1 point)

##### 1c.

Based on your knowledge of the standard normal distribution, is the standard error that you calculated previously (1b), a likely or an unlikely observation, assuming that Hο is true and the two population proportions are the same? Justify your conclusion.(2 points)

##### 1d.

Find the p-value for the test. Test for a significant difference at the 1% significance level and state whether you reject or fail to reject the null (and why).(2 points)

#### 2. Math HW代写

Suppose the population standard deviation equals 10. What is the sample size needed to estimate, with 95% confidence, a population mean within 1.5 units of its true value?(2 points)

##### 4a.

Calculate whether the variances are equal with α=0.05. State what the null and alternative hypothesis are.(3 points)

##### 4b.

Regardless of what you concluded for 4a, test whether there is a significant difference between the two restaurants’ wait times. Use a 95% confidence interval. (4 points)

#### 5. Math HW代写

A tutor guarantees to his customers that his studying/learning tips will significantly improve their test scores. Exam scores (before and after) for five customers are provided below.

##### 5a.

State the appropriate null and alternative hypotheses to test whether the tutoring significantly improves test scores.(1 point)

##### 5b.

Calculate the value of the test statistic. (3 points)

##### 5c. Math HW代写

Based on an alpha of 0.05, determine whether you reject or fail to reject the null hypothesis. Justify your answer.(2 points) 