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D www.googleadservices.c ocswebdav/pid-3367985-dt-content-rid-21110865 1/courses/B171-MATH219-34558/Math 219 ch 10 1 a) Be sure to check all criteria in each problem. b) Do classic test for all hypothesis test questions. c) Do value tests by hand for tests about one proportion or two proportions. d) Do all -value tests from sections 10.3, 11.2, and 11.3 on the calculator. Veriy all other p-value test on the calculator. e) Do the interpretations for all hypothesis tests. Do the interpretations for all -values about one proportion or one mean. f) g) For all hypothesis tests, discuss the practical vs. statistical significance. Do they match? h) Do interpretations for all confidence intervals. Determine if there is a significant difference between two populations based on the confidence interval (chapter 11) 1. There are many students who dislike math classes. In fact, I believe that more than 60% of students dislike math class. To test my claim I randomly selected 83 students and 51 of them reported that they dislike math. Use this data to test my claim with a significance level of 0.1. Do parts: a, b, c, d, e, f, g 2. It is said that the average height of students at SCC is 67 inches. A random sample of 50 students were measured and they had an average height of 67.5 inches with a standard deviation of 2.3 inches. Does the evidence support the claim that the mean height of SCC students is different from 67 inches? Do parts: a, b, d, e, f g 3. Being a sports fan, I assume that the proportion of men who like sports must be greater than the proportion of women who like reality shows. I surveyed 45 hen and 52 women. Thirty of the men liked sports and 38 of the women liked reality shows. Test my claim at the 0.01 significance level. Do parts: a. b, c, d, e, g 4. Use the statistics from number 3 to create a 95% confidence interval estimate of the diference between the proportion of men who like sports and the proportion of women who like reality TV. Do parts: h, i 5. A local college equity committee wants to do a follow-up stud v to the one performed in hould be surveyed to recreate t utunbers 3 and above. Ho onfidence interval found in number I' Assume a margin of error of 3 percentage points ntiago Canyon c. Math 219 Ch 10 1Explanation / Answer
Solution:-
1)
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: P < 0.60
Alternative hypothesis: P > 0.60
Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected only if the sample proportion is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.10. The test method, shown in the next section, is a one-sample z-test.
Analyze sample data. Using sample data, we calculate the standard deviation () and compute the z-score test statistic (z).
= sqrt[ P * ( 1 - P ) / n ]
= 0.0538
z = (p - P) /
z = 0.269
where P is the hypothesized value of population proportion in the null hypothesis, p is the sample proportion, and n is the sample size.
Since we have a one-tailed test, the P-value is the probability that the z-score is more than 0.269. We use the Normal Distribution Calculator to find P(z > 0.269) = 0.394.
Interpret results. Since the P-value (0.394) is greater than the significance level (0.10), we have to accept the null hypothesis.
From the above test we do not have sufficient evidence in the favor of the claim that more than 60% dislike maths class.
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