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Is the mean age at which American children first read now equal to four years? If the population of all American children has a mean age of 4 years until they begin to read, which of the following null and alternative hypotheses would be tested to answer this question? O b. Ho: μ = 4 vs. Ha: μ< 4 a. Ho: μ = 4 vs. Ha: μ> 4 d. Ho: μ = 4 vs. Ha: μ = 4 + x, assuming our sample size is n O c. Ho: μ = 4 vs. Ha: µ ‡ 4

Is the mean age at which American children first read now equal to four years? If the population of all American children has a mean age of 4 years until they begin to read, which of the following null and alternative hypotheses would be tested to answer this question? O b. Ho: μ = 4 vs. Ha: μ< 4 a. Ho: μ = 4 vs. Ha: μ> 4 d. Ho: μ = 4 vs. Ha: μ = 4 + x, assuming our sample size is n O c. Ho: μ = 4 vs. Ha: µ ‡ 4

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Is the mean age at which American children first read now equal to four years? If the population of all American children has a mean age of 4 years until they begin to read, which of the following null and alternative hypotheses would be tested to answer this question? b. Ho: μ = 4 vs. Ha: μ< 4 O a. Ho: μ = 4 vs. Ha: μ > 4 d. Ho: μ = 4 vs. Ha: u = 4 + x, assuming our sample size is n c. Ho: μ = 4 vs. Ha: μ # 4
Transcribed Image Text:Is the mean age at which American children first read now equal to four years? If the population of all American children has a mean age of 4 years until they begin to read, which of the following null and alternative hypotheses would be tested to answer this question? b. Ho: μ = 4 vs. Ha: μ< 4 O a. Ho: μ = 4 vs. Ha: μ > 4 d. Ho: μ = 4 vs. Ha: u = 4 + x, assuming our sample size is n c. Ho: μ = 4 vs. Ha: μ # 4
1)a) A hypothesis test at a significance level a =0.09 and has a power of 0.2. What are the probabilities of Type I and Type II errors for this test?Please show all work Ob P(Type 1)=0.09 and P(Type II)-0.2 O P(Type 1)=0.08 and P(Type II)-0.8 a. P(Type 1)=0.09 and P(Type II)=0.8 O c. P(Type 1)=0.91 and P(Type II)-0.8 1)b) A hypothesis test performed by a student has a Z value of 1.68. Is this test statistically significant at a 5% level? Yes, it is significant because z is larger than 1.645. O No, it is not significant because z is smaller than 1.645. Yes, it is significant because z is smaller than 1.960. Yes, it is significant because z is smaller than 1.645.
Transcribed Image Text:1)a) A hypothesis test at a significance level a =0.09 and has a power of 0.2. What are the probabilities of Type I and Type II errors for this test?Please show all work Ob P(Type 1)=0.09 and P(Type II)-0.2 O P(Type 1)=0.08 and P(Type II)-0.8 a. P(Type 1)=0.09 and P(Type II)=0.8 O c. P(Type 1)=0.91 and P(Type II)-0.8 1)b) A hypothesis test performed by a student has a Z value of 1.68. Is this test statistically significant at a 5% level? Yes, it is significant because z is larger than 1.645. O No, it is not significant because z is smaller than 1.645. Yes, it is significant because z is smaller than 1.960. Yes, it is significant because z is smaller than 1.645.
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