Sofia tosses 4 coins a total of 80 times. The following table shows the distribution of the number of heads obtaim in each toss of 4 coins. Number of 4 heads Frequency 10 24 26 17 3 a. Using the binomial distribution B(4,0.5) find the expected probabilities of obtaining 0,1,2,3 or 4 heads respectively b. Perform a goodness of fit test at the 5% significance level to find out whether the data fits a binomial distribution. State the null and alternative hypotheses and justify any conclusions found. The critical value for this test is 6.64. 3. 2. 1.

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Sofia tosses 4 coins a total of 80 times. The following table shows the distribution of the number of heads obtained
in each toss of 4 coins.
Number of
1
4.
heads
Frequency
10
24
26
17
a. Using the binomial distribution B(4, 0.5) find the expected probabilities of obtaining 0,1,2,3 or 4 heads
respectively
b. Perform a goodness of fit test at the 5% significance level to find out whether the data fits a binomial
distribution. State the null and alternative hypotheses and justify any conclusions found. The critical value
for this test is 6.64.
3.
2.
Transcribed Image Text:Sofia tosses 4 coins a total of 80 times. The following table shows the distribution of the number of heads obtained in each toss of 4 coins. Number of 1 4. heads Frequency 10 24 26 17 a. Using the binomial distribution B(4, 0.5) find the expected probabilities of obtaining 0,1,2,3 or 4 heads respectively b. Perform a goodness of fit test at the 5% significance level to find out whether the data fits a binomial distribution. State the null and alternative hypotheses and justify any conclusions found. The critical value for this test is 6.64. 3. 2.
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