In a certain school district, it was observed that 30% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 119 out of 336 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.01 level of significance. a. What is the hypothesized population proportion for this test? p= (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) b. Using the normal approximation for the binomial distribution (without the continuity correction), was is the test statistic for this sample based on the sample proportion? z= (Report answer as a decimal accurate to 3 decimal places.) You are now ready to calculate the P-value for this sample. P-value = (Report answer as a decimal accurate to 4 decimal places.)

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 294 people over the age of​ 55, 78 dream in black and​ white, and among 291 people under the age of​ 25, 10 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 indentify test statistic p value= the 90% confidence interval is

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 303 people over the age of 55, 79 dream in black and white, and among 300 people under the age of 25, 18 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? O A. Ho: P₁ = P₂ H₁: P₁ P2 O D. Ho: P₁ #P₂ H₁: P₁ = P2 Identify the test statistic. z=0 Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the significance level of a = 0.01, so…

In a random sample of   925   plain​ M&M's, 19% were blue. Use a 0.01 significance level to test the claim of​ Mars, Inc. that​ 24% of its plain​ M&M candies are blue. a. Define the parameter     A. p​ = The proportion of all​ M&M's that are blue   B. mu   ​= The proportion of all​ M&M's that are blue   C. mu   ​= The mean number of all​ M&M's that are blue   D. p​ = The proportion of all​ M&M's that are not blue   b. State the null and alternative hypotheses     A. Upper H 0 : p greater than 0.24 Upper H 1 : p equals 0.24     B. Upper H 0 : p equals 0.19 Upper H 1 : p not equals 0.19     C. Upper H 0 : p equals 0.24 Upper H 1 : p not equals 0.24     D. Upper H 0 : mu not equals 0.24 Upper H 1 : mu equals 0.24     c. Calculate the test statistic. Which of these options is closest to the test​ statistic?     A. negative 4.00     B. negative 3.65     C.…