6. Twenty years ago, 46% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 236 of 850 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the a= 0.1 level of significance. Because npo (1-Po) -10, the sample size is (2) 5% of the the requirements for testing the hypothesis (4) population size, and the sample (3) satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Н: (5). (6. versus H;: (7). (8). (Type integers or decimals. Do not round.) Find the test statistic. Z0 = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Determine the conclusion for this hypothesis test. Choose the correct answer below. O A. Since P-value a, do not reject the null hypothesis and conclude that there is not sufficient evidence that parents fee l OD. Since P-value> a, reject the null hypothesis and conclude that there is not sufficient evidence that parents feel differe

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 318 people over the age of 55, 77 dream in black and white, and among 298 people under the age of 25, 16 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. H4: P1 P2 H: P1 #P2 O D. Ho: P1 SP2 H1: P1#P2 O E. Ho: P1 P2 H1: P1 = P2 O F. Ho: P1 =P2 H1: P1 #P2 Identify the test statistic. z= 6.52 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is less than the significance level of a = 0.05, so reject the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion…

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 320 people over the age of​ 55, 72 dream in black and​ white, and among 313 people under the age of​ 25, 15 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts​ (a) through​ (c) below.   a. Test the claim using a hypothesis test.   Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis​ test?     A. H0​: p1=p2 H1​: p1≠p2   B. H0​: p1=p2 H1​: p1>p2   C. H0​: p1≥p2 H1​: p1≠p2   D. H0​: p1≠p2 H1​: p1=p2   E. H0​: p1≤p2 H1​: p1≠p2   F. H0​: p1=p2 H1​:p1<p2         Identify the test statistic.   z=_____ ​(Round to…

According to the Humane Society, 33% of households in the United States own at least one cat. You are interested in determining whether the proportion of households of the students at your school that own at least one cat is different from the national proportion. Suppose you survey an SRS of students at your school and find that 25% of them own cats, which yields a p-value of .092. Interpret this p-value.

A researcher was curious whether psychology majors earned a different amount of money after college compared to business majors. The mean salary for business majors 5 years after graduation is 55,000. She asked 22 recent psychology graduates their salaries and found that M=48,000 and s=12,000. Test the hypothesis that psychology majors make a different amount of money than business majors. Use a significance level of 0.05.

Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 204 women, r1 = 70 responded yes. Another random sample of n2 = 178 men showed that r2 = 48 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use ? = 0.05.   (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2    H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume the population distributions are approximately normal.The Student's t. The number of trials is sufficiently large.    The standard normal. The number of trials is sufficiently large.The Student's t. We assume the population distributions are approximately normal. What is the value of the sample…

A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned.   Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.”    Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations.   1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.